2013-12-02 15:49:09 +01:00
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/*
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* Elliptic curves over GF(p): curve-specific data and functions
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*
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2020-08-07 13:07:28 +02:00
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* Copyright The Mbed TLS Contributors
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2015-09-04 14:21:07 +02:00
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* SPDX-License-Identifier: Apache-2.0
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2013-12-02 15:49:09 +01:00
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*
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2015-09-04 14:21:07 +02:00
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* Licensed under the Apache License, Version 2.0 (the "License"); you may
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* not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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2013-12-02 15:49:09 +01:00
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*
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2015-09-04 14:21:07 +02:00
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* http://www.apache.org/licenses/LICENSE-2.0
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2013-12-02 15:49:09 +01:00
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*
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2015-09-04 14:21:07 +02:00
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
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* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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2013-12-02 15:49:09 +01:00
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*/
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2020-06-03 01:43:33 +02:00
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#include "common.h"
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2013-12-02 15:49:09 +01:00
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2015-04-08 12:49:31 +02:00
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#if defined(MBEDTLS_ECP_C)
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2013-12-02 15:49:09 +01:00
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2015-03-09 18:05:11 +01:00
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#include "mbedtls/ecp.h"
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2018-12-14 16:08:03 +01:00
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#include "mbedtls/platform_util.h"
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2019-11-22 14:21:35 +01:00
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#include "mbedtls/error.h"
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2013-12-02 15:49:09 +01:00
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2021-04-03 21:47:53 +02:00
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#include "ecp_invasive.h"
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2015-02-06 14:43:58 +01:00
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#include <string.h>
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2016-08-18 13:38:46 +02:00
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#if !defined(MBEDTLS_ECP_ALT)
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2018-12-14 16:08:03 +01:00
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/* Parameter validation macros based on platform_util.h */
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#define ECP_VALIDATE_RET( cond ) \
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MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
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#define ECP_VALIDATE( cond ) \
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MBEDTLS_INTERNAL_VALIDATE( cond )
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2015-10-05 12:40:01 +02:00
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#if ( defined(__ARMCC_VERSION) || defined(_MSC_VER) ) && \
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!defined(inline) && !defined(__cplusplus)
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2013-12-02 22:17:24 +01:00
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#define inline __inline
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2015-07-07 18:33:39 +02:00
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#endif
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2013-12-02 22:17:24 +01:00
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2013-12-06 13:38:41 +01:00
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/*
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* Conversion macros for embedded constants:
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2015-04-08 12:49:31 +02:00
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* build lists of mbedtls_mpi_uint's from lists of unsigned char's grouped by 8, 4 or 2
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2013-12-06 13:38:41 +01:00
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*/
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2015-04-09 17:00:17 +02:00
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#if defined(MBEDTLS_HAVE_INT32)
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2013-12-06 12:16:10 +01:00
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2018-10-15 13:01:35 +02:00
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#define BYTES_TO_T_UINT_4( a, b, c, d ) \
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( (mbedtls_mpi_uint) (a) << 0 ) | \
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( (mbedtls_mpi_uint) (b) << 8 ) | \
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( (mbedtls_mpi_uint) (c) << 16 ) | \
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( (mbedtls_mpi_uint) (d) << 24 )
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2013-12-11 12:03:23 +01:00
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2013-12-11 12:15:28 +01:00
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#define BYTES_TO_T_UINT_2( a, b ) \
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BYTES_TO_T_UINT_4( a, b, 0, 0 )
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2013-12-11 12:03:23 +01:00
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#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
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2013-12-12 15:50:08 +01:00
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BYTES_TO_T_UINT_4( a, b, c, d ), \
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_4( e, f, g, h )
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2013-12-06 12:16:10 +01:00
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#else /* 64-bits */
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2013-12-11 12:03:23 +01:00
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#define BYTES_TO_T_UINT_8( a, b, c, d, e, f, g, h ) \
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2018-10-15 13:01:35 +02:00
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( (mbedtls_mpi_uint) (a) << 0 ) | \
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( (mbedtls_mpi_uint) (b) << 8 ) | \
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( (mbedtls_mpi_uint) (c) << 16 ) | \
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( (mbedtls_mpi_uint) (d) << 24 ) | \
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( (mbedtls_mpi_uint) (e) << 32 ) | \
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( (mbedtls_mpi_uint) (f) << 40 ) | \
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( (mbedtls_mpi_uint) (g) << 48 ) | \
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( (mbedtls_mpi_uint) (h) << 56 )
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2013-12-06 12:16:10 +01:00
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2013-12-11 12:15:28 +01:00
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#define BYTES_TO_T_UINT_4( a, b, c, d ) \
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BYTES_TO_T_UINT_8( a, b, c, d, 0, 0, 0, 0 )
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#define BYTES_TO_T_UINT_2( a, b ) \
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BYTES_TO_T_UINT_8( a, b, 0, 0, 0, 0, 0, 0 )
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2015-04-08 12:49:31 +02:00
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#endif /* bits in mbedtls_mpi_uint */
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2013-12-06 12:16:10 +01:00
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2021-04-08 08:32:06 +02:00
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#define ECP_MPI_INIT(s, n, p) {s, (n), (mbedtls_mpi_uint *)(p)}
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#define ECP_POINT_INIT_XY_Z0(x, y) { \
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ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x),\
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ECP_MPI_INIT(1, sizeof(y) / sizeof(mbedtls_mpi_uint), y), \
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ECP_MPI_INIT(1, 0, NULL) }
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#define ECP_POINT_INIT_XY_Z1(x, y) { \
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ECP_MPI_INIT(1, sizeof(x) / sizeof(mbedtls_mpi_uint), x),\
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ECP_MPI_INIT(1, sizeof(y) / sizeof(mbedtls_mpi_uint), y), \
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ECP_MPI_INIT(1, 1, mpi_one) }
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#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_BP256R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_BP384R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_BP512R1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
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defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
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/* For these curves, we build the group parameters dynamically. */
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#define ECP_LOAD_GROUP
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static mbedtls_mpi_uint mpi_one[] = {1};
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#endif
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2013-12-11 12:15:28 +01:00
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/*
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* Note: the constants are in little-endian order
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* to be directly usable in MPIs
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*/
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2013-12-02 15:49:09 +01:00
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/*
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* Domain parameters for secp192r1
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*/
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2015-04-08 12:49:31 +02:00
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#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
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static const mbedtls_mpi_uint secp192r1_p[] = {
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
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BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
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BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
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2013-12-06 12:16:10 +01:00
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};
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2015-04-08 12:49:31 +02:00
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static const mbedtls_mpi_uint secp192r1_b[] = {
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_8( 0xB1, 0xB9, 0x46, 0xC1, 0xEC, 0xDE, 0xB8, 0xFE ),
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BYTES_TO_T_UINT_8( 0x49, 0x30, 0x24, 0x72, 0xAB, 0xE9, 0xA7, 0x0F ),
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BYTES_TO_T_UINT_8( 0xE7, 0x80, 0x9C, 0xE5, 0x19, 0x05, 0x21, 0x64 ),
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2013-12-06 12:16:10 +01:00
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};
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2015-04-08 12:49:31 +02:00
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static const mbedtls_mpi_uint secp192r1_gx[] = {
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
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BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
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BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
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2013-12-06 12:16:10 +01:00
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};
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2015-04-08 12:49:31 +02:00
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static const mbedtls_mpi_uint secp192r1_gy[] = {
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
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BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
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BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
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2013-12-06 12:16:10 +01:00
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};
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2015-04-08 12:49:31 +02:00
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static const mbedtls_mpi_uint secp192r1_n[] = {
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2013-12-11 12:03:23 +01:00
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BYTES_TO_T_UINT_8( 0x31, 0x28, 0xD2, 0xB4, 0xB1, 0xC9, 0x6B, 0x14 ),
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BYTES_TO_T_UINT_8( 0x36, 0xF8, 0xDE, 0x99, 0xFF, 0xFF, 0xFF, 0xFF ),
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BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
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2013-12-06 12:16:10 +01:00
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};
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2021-04-08 08:32:06 +02:00
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#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
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static const mbedtls_mpi_uint secp192r1_T_0_X[] = {
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BYTES_TO_T_UINT_8( 0x12, 0x10, 0xFF, 0x82, 0xFD, 0x0A, 0xFF, 0xF4 ),
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BYTES_TO_T_UINT_8( 0x00, 0x88, 0xA1, 0x43, 0xEB, 0x20, 0xBF, 0x7C ),
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BYTES_TO_T_UINT_8( 0xF6, 0x90, 0x30, 0xB0, 0x0E, 0xA8, 0x8D, 0x18 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_0_Y[] = {
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BYTES_TO_T_UINT_8( 0x11, 0x48, 0x79, 0x1E, 0xA1, 0x77, 0xF9, 0x73 ),
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BYTES_TO_T_UINT_8( 0xD5, 0xCD, 0x24, 0x6B, 0xED, 0x11, 0x10, 0x63 ),
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BYTES_TO_T_UINT_8( 0x78, 0xDA, 0xC8, 0xFF, 0x95, 0x2B, 0x19, 0x07 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_1_X[] = {
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BYTES_TO_T_UINT_8( 0x97, 0x9E, 0xE3, 0x60, 0x59, 0xD1, 0xC4, 0xC2 ),
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BYTES_TO_T_UINT_8( 0x91, 0xBD, 0x22, 0xD7, 0x2D, 0x07, 0xBD, 0xB6 ),
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BYTES_TO_T_UINT_8( 0x74, 0x2A, 0xCF, 0x33, 0xF0, 0xBE, 0xD1, 0xED ),
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};
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static const mbedtls_mpi_uint secp192r1_T_1_Y[] = {
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BYTES_TO_T_UINT_8( 0x88, 0x71, 0x4B, 0xA8, 0xED, 0x7E, 0xC9, 0x1A ),
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BYTES_TO_T_UINT_8( 0x8E, 0x2A, 0xF6, 0xDF, 0x0E, 0xE8, 0x4C, 0x0F ),
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BYTES_TO_T_UINT_8( 0xC5, 0x35, 0xF7, 0x8A, 0xC3, 0xEC, 0xDE, 0x1E ),
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};
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static const mbedtls_mpi_uint secp192r1_T_2_X[] = {
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BYTES_TO_T_UINT_8( 0x00, 0x67, 0xC2, 0x1D, 0x32, 0x8F, 0x10, 0xFB ),
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BYTES_TO_T_UINT_8( 0xBB, 0x2D, 0x17, 0xF3, 0xE4, 0xFE, 0xD8, 0x13 ),
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BYTES_TO_T_UINT_8( 0x55, 0x45, 0x10, 0x70, 0x2C, 0x3E, 0x52, 0x3E ),
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};
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static const mbedtls_mpi_uint secp192r1_T_2_Y[] = {
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BYTES_TO_T_UINT_8( 0x61, 0xF1, 0x04, 0x5D, 0xEE, 0xD4, 0x56, 0xE6 ),
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BYTES_TO_T_UINT_8( 0x78, 0xB7, 0x38, 0x27, 0x61, 0xAA, 0x81, 0x87 ),
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BYTES_TO_T_UINT_8( 0x71, 0x37, 0xD7, 0x0E, 0x29, 0x0E, 0x11, 0x14 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_3_X[] = {
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BYTES_TO_T_UINT_8( 0x1E, 0x35, 0x52, 0xC6, 0x31, 0xB7, 0x27, 0xF5 ),
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BYTES_TO_T_UINT_8( 0x3D, 0xD4, 0x15, 0x98, 0x0F, 0xE7, 0xF3, 0x6A ),
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BYTES_TO_T_UINT_8( 0xD3, 0x31, 0x70, 0x35, 0x09, 0xA0, 0x2B, 0xC2 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_3_Y[] = {
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BYTES_TO_T_UINT_8( 0x21, 0x75, 0xA7, 0x4C, 0x88, 0xCF, 0x5B, 0xE4 ),
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BYTES_TO_T_UINT_8( 0x17, 0x17, 0x48, 0x8D, 0xF2, 0xF0, 0x86, 0xED ),
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BYTES_TO_T_UINT_8( 0x49, 0xCF, 0xFE, 0x6B, 0xB0, 0xA5, 0x06, 0xAB ),
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};
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static const mbedtls_mpi_uint secp192r1_T_4_X[] = {
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BYTES_TO_T_UINT_8( 0x18, 0x6A, 0xDC, 0x9A, 0x6D, 0x7B, 0x47, 0x2E ),
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BYTES_TO_T_UINT_8( 0x12, 0xFC, 0x51, 0x12, 0x62, 0x66, 0x0B, 0x59 ),
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BYTES_TO_T_UINT_8( 0xCD, 0x40, 0x93, 0xA0, 0xB5, 0x5A, 0x58, 0xD7 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_4_Y[] = {
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BYTES_TO_T_UINT_8( 0xEF, 0xCB, 0xAF, 0xDC, 0x0B, 0xA1, 0x26, 0xFB ),
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BYTES_TO_T_UINT_8( 0xDA, 0x36, 0x9D, 0xA3, 0xD7, 0x3B, 0xAD, 0x39 ),
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BYTES_TO_T_UINT_8( 0xB4, 0x3B, 0x05, 0x9A, 0xA8, 0xAA, 0x69, 0xB2 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_5_X[] = {
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BYTES_TO_T_UINT_8( 0x6D, 0xD9, 0xD1, 0x4D, 0x4A, 0x6E, 0x96, 0x1E ),
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BYTES_TO_T_UINT_8( 0x17, 0x66, 0x32, 0x39, 0xC6, 0x57, 0x7D, 0xE6 ),
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BYTES_TO_T_UINT_8( 0x92, 0xA0, 0x36, 0xC2, 0x45, 0xF9, 0x00, 0x62 ),
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};
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static const mbedtls_mpi_uint secp192r1_T_5_Y[] = {
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BYTES_TO_T_UINT_8( 0xB4, 0xEF, 0x59, 0x46, 0xDC, 0x60, 0xD9, 0x8F ),
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BYTES_TO_T_UINT_8( 0x24, 0xB0, 0xE9, 0x41, 0xA4, 0x87, 0x76, 0x89 ),
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BYTES_TO_T_UINT_8( 0x13, 0xD4, 0x0E, 0xB2, 0xFA, 0x16, 0x56, 0xDC ),
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};
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static const mbedtls_mpi_uint secp192r1_T_6_X[] = {
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BYTES_TO_T_UINT_8( 0x0A, 0x62, 0xD2, 0xB1, 0x34, 0xB2, 0xF1, 0x06 ),
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BYTES_TO_T_UINT_8( 0xB2, 0xED, 0x55, 0xC5, 0x47, 0xB5, 0x07, 0x15 ),
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BYTES_TO_T_UINT_8( 0x17, 0xF6, 0x2F, 0x94, 0xC3, 0xDD, 0x54, 0x2F ),
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};
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static const mbedtls_mpi_uint secp192r1_T_6_Y[] = {
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|
BYTES_TO_T_UINT_8( 0xFD, 0xA6, 0xD4, 0x8C, 0xA9, 0xCE, 0x4D, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x4B, 0x46, 0xCC, 0xB2, 0x55, 0xC8, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x31, 0xED, 0x89, 0x65, 0x59, 0x55 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x0A, 0xD1, 0x1A, 0xC5, 0xF6, 0xEA, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0xFC, 0x0C, 0x1A, 0xFB, 0xA0, 0xC8, 0x70 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xFD, 0x53, 0x6F, 0x6D, 0xBF, 0xBA, 0xAF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0xB0, 0x7D, 0x83, 0x96, 0xE3, 0xCB, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x6E, 0x55, 0x2C, 0x20, 0x53, 0x2F, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0x66, 0x00, 0x17, 0x08, 0xFE, 0xAC, 0x31 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x12, 0x97, 0x3A, 0xC7, 0x57, 0x45, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x25, 0x99, 0x00, 0xF6, 0x97, 0xB4, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x74, 0xE6, 0xE6, 0xA3, 0xDF, 0x9C, 0xCC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0xF4, 0x76, 0xD5, 0x5F, 0x2A, 0xFD, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x80, 0x7E, 0x3E, 0xE5, 0xE8, 0xD6, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0xAD, 0x1E, 0x70, 0x79, 0x3E, 0x3D, 0x83 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x15, 0xBB, 0xB3, 0x42, 0x6A, 0xA1, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x58, 0xCB, 0x43, 0x25, 0x00, 0x14, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x4E, 0x93, 0x11, 0xE0, 0x32, 0x54, 0x98 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x52, 0xA2, 0xB4, 0x57, 0x32, 0xB9, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x43, 0xA1, 0xB1, 0xFB, 0x01, 0xE1, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0xFB, 0x5A, 0x11, 0xB8, 0xC2, 0x03, 0xE5 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x2B, 0x71, 0x26, 0x4E, 0x7C, 0xC5, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0xF5, 0xD3, 0xA8, 0xE4, 0x95, 0x48, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0xAE, 0xD9, 0x5D, 0x9F, 0x6A, 0x22, 0xAD ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0xCC, 0xA3, 0x4D, 0xA0, 0x1C, 0x34, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x3C, 0x62, 0xF8, 0x5E, 0xA6, 0x58, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x6E, 0x66, 0x8A, 0x3D, 0x17, 0xFF, 0x0F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0xCD, 0xA8, 0xDD, 0xD1, 0x20, 0x5C, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0xFE, 0x17, 0xE2, 0xCF, 0xEA, 0x63, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x51, 0xC9, 0x16, 0xDE, 0xB4, 0xB2, 0xDD ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xBE, 0x12, 0xD7, 0xA3, 0x0A, 0x50, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0x87, 0xC5, 0x8A, 0x76, 0x57, 0x07, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x1F, 0xC6, 0x1B, 0x66, 0xC4, 0x3D, 0x8A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0xA4, 0x85, 0x13, 0x8F, 0xA7, 0x35, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x0D, 0xFD, 0xFF, 0x1B, 0xD1, 0xD6, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x7A, 0xD0, 0xC3, 0xB4, 0xEF, 0x39, 0x66 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0xFE, 0xA5, 0x9C, 0x34, 0x30, 0x49, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0xC5, 0x39, 0x26, 0x06, 0xE3, 0x01, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0x2B, 0x66, 0xFC, 0x95, 0x5F, 0x35, 0xF7 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0xCF, 0x54, 0x63, 0x99, 0x57, 0x05, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x6F, 0x00, 0x5F, 0x65, 0x08, 0x47, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x2A, 0x90, 0x6D, 0x67, 0xC6, 0xBC, 0x45 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x4D, 0x88, 0x0A, 0x35, 0x9E, 0x33, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x17, 0x0C, 0xF8, 0xE1, 0x7A, 0x49, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x44, 0x06, 0x8F, 0x0B, 0x70, 0x2F, 0x71 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0x4B, 0xCB, 0xF9, 0x8E, 0x6A, 0xDA, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x43, 0xA1, 0x3F, 0xCE, 0x17, 0xD2, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x0D, 0xD2, 0x6C, 0x82, 0x37, 0xE5, 0xFC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x3C, 0xF4, 0x92, 0xB4, 0x8A, 0x95, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0x96, 0xF1, 0x0A, 0x34, 0x2F, 0x74, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0xAA, 0xBA, 0x86, 0x77, 0x4F, 0xA2 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x7F, 0xEF, 0x60, 0x50, 0x80, 0xD7, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x31, 0xAC, 0xC9, 0xFE, 0xEC, 0x0A, 0x1A, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x2F, 0xBE, 0x91, 0xD7, 0xB7, 0x38, 0x48 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0xAE, 0x85, 0x98, 0xFE, 0x05, 0x7F, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0xBE, 0xFD, 0x11, 0x31, 0x3D, 0x14, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x75, 0xE8, 0x30, 0x01, 0xCB, 0x9B, 0x1C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp192r1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp192r1_T_0_X, secp192r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_1_X, secp192r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_2_X, secp192r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_3_X, secp192r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_4_X, secp192r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_5_X, secp192r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_6_X, secp192r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_7_X, secp192r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_8_X, secp192r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_9_X, secp192r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_10_X, secp192r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_11_X, secp192r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_12_X, secp192r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_13_X, secp192r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_14_X, secp192r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192r1_T_15_X, secp192r1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp192r1_T NULL
|
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for secp224r1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp224r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0xFF, 0x55, 0x23, 0x43, 0x39, 0x0B, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0xD8, 0xBF, 0xD7, 0xB7, 0xB0, 0x44, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0x32, 0x41, 0xF5, 0xAB, 0xB3, 0x04, 0x0C ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_4( 0x85, 0x0A, 0x05, 0xB4 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_4( 0xBD, 0x0C, 0x0E, 0xB7 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_4( 0x88, 0x63, 0x37, 0xBD ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0x2A, 0x5C, 0x5C, 0x45, 0x29, 0xDD, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0xF0, 0xB8, 0xE0, 0xA2, 0x16, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x1D, 0x5C, 0x11, 0xD6, 0x80, 0x32, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0x11, 0xC2, 0x56, 0xD3, 0xC1, 0x03, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x90, 0x13, 0x32, 0x7F, 0xBF, 0xB4, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0x0C, 0x0E, 0xB7, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x7E, 0x00, 0x85, 0x99, 0x81, 0xD5, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x47, 0x07, 0x5A, 0xA0, 0x75, 0x43, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xDF, 0x22, 0x4C, 0xFB, 0x23, 0xF7, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x63, 0x37, 0xBD, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0xF9, 0xB8, 0xD0, 0x3D, 0xD2, 0xD3, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xFD, 0x99, 0x26, 0x19, 0xFE, 0x13, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x0E, 0x4C, 0x48, 0x7C, 0xA2, 0x17, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xA3, 0x13, 0x57, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0x16, 0x5C, 0x8F, 0xAA, 0xED, 0x0F, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0xC5, 0x43, 0x34, 0x93, 0x05, 0x2A, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0xE3, 0x6C, 0xCA, 0xC6, 0x14, 0xC2, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x43, 0x6C, 0xD7, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x5A, 0x98, 0x1E, 0xC8, 0xA5, 0x42, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x49, 0x56, 0x78, 0xF8, 0xEF, 0xED, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0xBB, 0x64, 0xB6, 0x4C, 0x54, 0x5F, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x0C, 0x33, 0xCC, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x79, 0xCB, 0x2E, 0x08, 0xFF, 0xD8, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2E, 0x1F, 0xD4, 0xD7, 0x57, 0xE9, 0x39, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xD6, 0x3B, 0x0A, 0x1C, 0x87, 0xB7, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x30, 0xD8, 0x05, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x79, 0x74, 0x9A, 0xE6, 0xBB, 0xC2, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x5B, 0xA6, 0x67, 0xC1, 0x91, 0xE7, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0xDF, 0x38, 0x82, 0x19, 0x2C, 0x4C, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0x2E, 0x39, 0xC5, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x36, 0x78, 0x4E, 0xAE, 0x5B, 0x02, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0xF6, 0x8B, 0xF8, 0xF4, 0x92, 0x6B, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x4D, 0x71, 0x35, 0xE7, 0x0C, 0x2C, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0xA5, 0x1F, 0xAE, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0x1C, 0x4B, 0xDF, 0x5B, 0xF2, 0x51, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x74, 0xB1, 0x5A, 0xC6, 0x0F, 0x0E, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x24, 0x09, 0x62, 0xAF, 0xFC, 0xDB, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0xE1, 0x80, 0x55, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x82, 0xFE, 0xAD, 0xC3, 0xE5, 0xCF, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0xA2, 0x62, 0x17, 0x76, 0xF0, 0x5A, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0xB8, 0xE5, 0xAC, 0xB7, 0x66, 0x38, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0xFD, 0x86, 0x05, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xD3, 0x0C, 0x3C, 0xD1, 0x66, 0xB0, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x59, 0xB4, 0x8D, 0x90, 0x10, 0xB7, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x47, 0x9B, 0xE6, 0x55, 0x8A, 0xE4, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0x49, 0xDB, 0x78, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x97, 0xED, 0xDE, 0xFF, 0xB3, 0xDF, 0x48 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xB9, 0x83, 0xB7, 0xEB, 0xBE, 0x40, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xD3, 0xD3, 0xCD, 0x0E, 0x82, 0x79, 0x3D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x83, 0x1B, 0xF0, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x22, 0xBB, 0x54, 0xD3, 0x31, 0x56, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x36, 0xE5, 0xE0, 0x89, 0x96, 0x8E, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0xEF, 0x0A, 0xED, 0xD0, 0x11, 0x4A, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x00, 0x57, 0x27, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0xCA, 0x3D, 0xF7, 0x64, 0x9B, 0x6E, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xE3, 0x70, 0x6B, 0x41, 0xD7, 0xED, 0x8F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x44, 0x44, 0x80, 0xCE, 0x13, 0x37, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x73, 0x80, 0x79, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x4D, 0x70, 0x7D, 0x31, 0x0F, 0x1C, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x35, 0x88, 0x47, 0xC4, 0x24, 0x78, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0xF0, 0xCD, 0x91, 0x81, 0xB3, 0xDE, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0xCE, 0xC6, 0xF7, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x9C, 0x2D, 0xE8, 0xD2, 0x00, 0x8F, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x5E, 0x7C, 0x0E, 0x0C, 0x6E, 0x58, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x81, 0x21, 0xCE, 0x43, 0xF4, 0x24, 0x3D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0xBC, 0xF0, 0xF4, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x10, 0xC2, 0x74, 0x4A, 0x8F, 0x8A, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0x67, 0xF4, 0x2B, 0x38, 0x2B, 0x35, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0C, 0xA9, 0xFA, 0x77, 0x5C, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x19, 0x2B, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x3E, 0x96, 0x22, 0x53, 0xE1, 0xE9, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x13, 0xBC, 0xA1, 0x16, 0xEC, 0x01, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x00, 0xC9, 0x7A, 0xC3, 0x73, 0xA5, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0xF4, 0x5E, 0xC1, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x95, 0xD6, 0xD9, 0x32, 0x30, 0x2B, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x42, 0x09, 0x05, 0x61, 0x2A, 0x7E, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x84, 0xA2, 0x05, 0x88, 0x64, 0x65, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0x2D, 0x90, 0xB3, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0xE7, 0x2E, 0x85, 0x55, 0x80, 0x7C, 0x79 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xC1, 0xAC, 0x78, 0xB4, 0xAF, 0xFB, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0xC3, 0x28, 0x8E, 0x79, 0x18, 0x1F, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x46, 0xCF, 0x49, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x5F, 0xA8, 0x6C, 0x46, 0x83, 0x43, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xA9, 0x93, 0x11, 0xB6, 0x07, 0x57, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x2A, 0x9D, 0x03, 0x89, 0x7E, 0xD7, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x8C, 0x62, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0x2C, 0x13, 0x59, 0xCC, 0xFA, 0x84, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xB9, 0x48, 0xBC, 0x57, 0xC7, 0xB3, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x0A, 0x38, 0x24, 0x2E, 0x3A, 0x28, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x0A, 0x43, 0xB8, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x25, 0xAB, 0xC1, 0xEE, 0x70, 0x3C, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0xDB, 0x45, 0x1D, 0x4A, 0x80, 0x75, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x1F, 0x4D, 0x2D, 0x9A, 0x05, 0xF4, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x10, 0xF0, 0x5A, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0x95, 0xE1, 0xDC, 0x15, 0x86, 0xC3, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0xDC, 0x27, 0xD1, 0x56, 0xA1, 0x14, 0x0D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x0B, 0xD6, 0x77, 0x4E, 0x44, 0xA2, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x42, 0x71, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x86, 0xB2, 0xB0, 0xC8, 0x2F, 0x7B, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xEF, 0xCB, 0xDB, 0xBC, 0x9E, 0x3B, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x03, 0x86, 0xDD, 0x5B, 0xF5, 0x8D, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x95, 0x79, 0xD6, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x32, 0x14, 0xDA, 0x9B, 0x4F, 0x07, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x3E, 0xFB, 0x06, 0xEE, 0xA7, 0x40, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x1F, 0xDF, 0x71, 0x61, 0xFD, 0x8B, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x8B, 0xAB, 0x8B, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x34, 0xB3, 0xB4, 0xBC, 0x9F, 0xB0, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x58, 0x48, 0xA8, 0x77, 0xBB, 0x13, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xC6, 0xF7, 0x34, 0xCC, 0x89, 0x21, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x33, 0xDD, 0x1F, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x81, 0xEF, 0xA4, 0xF2, 0x10, 0x0B, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0xF7, 0x6E, 0x72, 0x4A, 0xDF, 0xDD, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0x23, 0x0A, 0x53, 0x03, 0x16, 0x62, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x76, 0xFD, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x14, 0xA1, 0xFA, 0xA0, 0x18, 0xBE, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0x2A, 0xE1, 0xD7, 0xB0, 0x6C, 0xA0, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0xC0, 0xB0, 0xC6, 0x63, 0x24, 0xCD, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x38, 0x2C, 0xB1, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0xCD, 0x7D, 0x20, 0x0C, 0xFE, 0xAC, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x97, 0x9F, 0xA2, 0xB6, 0x45, 0xF7, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x99, 0xF3, 0xD2, 0x20, 0x02, 0xEB, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x18, 0x5B, 0x7B, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0xDD, 0x77, 0x91, 0x60, 0xEA, 0xFD, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0xD3, 0xB5, 0xD6, 0x90, 0x17, 0x0E, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0xF4, 0x28, 0xC1, 0xF2, 0x53, 0xF6, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0x58, 0xDC, 0x61, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x20, 0x01, 0xFB, 0xF1, 0xBD, 0x5F, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x7F, 0x06, 0xDA, 0x11, 0xCB, 0xBA, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x41, 0x00, 0xA4, 0x1B, 0x30, 0x33, 0x79 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0xFF, 0x27, 0xCA, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp224r1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp224r1_T_0_X, secp224r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_1_X, secp224r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_2_X, secp224r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_3_X, secp224r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_4_X, secp224r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_5_X, secp224r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_6_X, secp224r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_7_X, secp224r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_8_X, secp224r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_9_X, secp224r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_10_X, secp224r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_11_X, secp224r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_12_X, secp224r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_13_X, secp224r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_14_X, secp224r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224r1_T_15_X, secp224r1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp224r1_T NULL
|
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for secp256r1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp256r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp256r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0x60, 0xD2, 0x27, 0x3E, 0x3C, 0xCE, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xB0, 0x53, 0xCC, 0xB0, 0x06, 0x1D, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x86, 0x98, 0x76, 0x55, 0xBD, 0xEB, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x93, 0x3A, 0xAA, 0xD8, 0x35, 0xC6, 0x5A ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp256r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp256r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp256r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0x25, 0x63, 0xFC, 0xC2, 0xCA, 0xB9, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x9E, 0x17, 0xA7, 0xAD, 0xFA, 0xE6, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xC2, 0x98, 0xD8, 0x45, 0x39, 0xA1, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x33, 0xEB, 0x2D, 0x81, 0x7D, 0x03, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x40, 0xA4, 0x63, 0xE5, 0xE6, 0xBC, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x42, 0x2C, 0xE1, 0xF2, 0xD1, 0x17, 0x6B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x51, 0xBF, 0x37, 0x68, 0x40, 0xB6, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0x5E, 0x31, 0x6B, 0x57, 0x33, 0xCE, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x9E, 0x0F, 0x7C, 0x4A, 0xEB, 0xE7, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x7F, 0x1A, 0xFE, 0xE2, 0x42, 0xE3, 0x4F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0xC8, 0xBA, 0x04, 0xB7, 0x4B, 0xD2, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0xC6, 0x23, 0x3A, 0xA0, 0x09, 0x3A, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x9D, 0x4C, 0xF9, 0x58, 0x23, 0xCC, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0xED, 0x7B, 0x29, 0x87, 0x0F, 0xFA, 0x3C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x69, 0xF2, 0x40, 0x0B, 0xA3, 0x98, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xA8, 0x48, 0x02, 0x0D, 0x1C, 0x12, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0xAF, 0x09, 0x83, 0x80, 0xAA, 0x58, 0xA7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x12, 0xBE, 0x70, 0x94, 0x76, 0xE3, 0xE4 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x7D, 0xEF, 0x86, 0xFF, 0xE3, 0x37, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x86, 0x8B, 0x08, 0x27, 0x7C, 0xD7, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x54, 0x4C, 0x25, 0x4F, 0x9A, 0xFE, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0xFD, 0xF0, 0x6D, 0x37, 0x03, 0x69, 0xD6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xD5, 0xDA, 0xAD, 0x92, 0x49, 0xF0, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x73, 0x43, 0x9E, 0xAF, 0xA7, 0xD1, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0x41, 0x07, 0xDF, 0x78, 0x95, 0x3E, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0x3D, 0xD1, 0xE6, 0x3C, 0xA5, 0xE2, 0x20 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x6A, 0x5D, 0x52, 0x35, 0xD7, 0xBF, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0xA2, 0xBE, 0x96, 0xF4, 0xF8, 0x02, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x20, 0x49, 0x54, 0xEA, 0xB3, 0x82, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2E, 0xDB, 0xEA, 0x02, 0xD1, 0x75, 0x1C, 0x62 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x85, 0xF4, 0x9E, 0x4C, 0xDC, 0x39, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x6D, 0xC4, 0x57, 0xD8, 0x03, 0x5D, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x7F, 0x2D, 0x52, 0x6F, 0xC9, 0xDA, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x64, 0xFA, 0xB4, 0xFE, 0xA4, 0xC4, 0xD7 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x37, 0xB9, 0xC0, 0xAA, 0x59, 0xC6, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x58, 0xD9, 0xED, 0x58, 0x99, 0x65, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x7D, 0x26, 0x8C, 0x4A, 0xF9, 0x05, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x73, 0x9A, 0xC9, 0xE7, 0x46, 0xDC, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0xD0, 0x55, 0xDF, 0x00, 0x0A, 0xF5, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0xBF, 0x56, 0x81, 0x2D, 0x20, 0xEB, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xC1, 0x28, 0x52, 0xAB, 0xE3, 0xD1, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x34, 0x79, 0x45, 0x57, 0xA5, 0x12, 0x03 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0xCF, 0xB8, 0x7E, 0xF7, 0x92, 0x96, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0x01, 0x8C, 0x0D, 0x23, 0xF2, 0xE3, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x2E, 0xE3, 0x84, 0x52, 0x7A, 0x34, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0xA1, 0xB0, 0x15, 0x90, 0xE2, 0x53, 0x3C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x98, 0xE7, 0xFA, 0xA5, 0x7D, 0x8B, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x35, 0xD2, 0x00, 0xD1, 0x1B, 0x9F, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x69, 0x08, 0x9A, 0x72, 0xF0, 0xA9, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0xFE, 0x0E, 0x14, 0xDA, 0x7C, 0x0E, 0xD3 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0xF6, 0xE8, 0xF8, 0x87, 0xF7, 0xFC, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xBE, 0x7F, 0x3F, 0x7A, 0x2B, 0xD7, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0x32, 0xF2, 0x2D, 0x94, 0x6D, 0x42, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x9A, 0xE3, 0x5F, 0x42, 0xBB, 0x84, 0xED ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x95, 0x29, 0x73, 0xA1, 0x67, 0x3E, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x30, 0x54, 0x35, 0x8E, 0x0A, 0xDD, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0xD7, 0xA1, 0x97, 0x61, 0x3B, 0xF8, 0x0C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x33, 0x3C, 0x58, 0x55, 0x34, 0x23, 0xA3 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x5D, 0x16, 0x5F, 0x7B, 0xBC, 0xBB, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0xEE, 0x4E, 0x8A, 0xC1, 0x51, 0xCC, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x0D, 0x4D, 0x1B, 0x53, 0x23, 0x1D, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x2A, 0x38, 0x66, 0x52, 0x84, 0xE1, 0x95 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x9B, 0x83, 0x0A, 0x81, 0x4F, 0xAD, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xFF, 0x42, 0x41, 0x6E, 0xA9, 0xA2, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xA1, 0x4F, 0x1F, 0x89, 0x82, 0xAA, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0xB8, 0x0F, 0x6B, 0x8F, 0x8C, 0xD6, 0x68 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0xB3, 0xBB, 0x51, 0x69, 0xA2, 0x11, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x4F, 0x0F, 0x8D, 0xBD, 0x26, 0x0F, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xCB, 0xEC, 0x6B, 0x34, 0xC3, 0x3D, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x5D, 0x1E, 0x10, 0xD5, 0x44, 0xE2, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x9E, 0xB1, 0xF1, 0x6E, 0x4C, 0xAD, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xE3, 0xC2, 0x58, 0xC0, 0xFB, 0x34, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0x9C, 0xDF, 0x35, 0x07, 0x41, 0xBD, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x10, 0xEC, 0x0E, 0xEC, 0xBB, 0xD6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xCF, 0xEF, 0x3F, 0x83, 0x1A, 0x88, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x29, 0xB5, 0xB9, 0xE0, 0xC9, 0xA3, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x46, 0x1E, 0x77, 0xCD, 0x7E, 0xB3, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x21, 0xD0, 0xD4, 0xA3, 0x16, 0x08, 0xEE ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0xCA, 0xA8, 0xB3, 0xBF, 0x29, 0x99, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0xF2, 0x05, 0xC1, 0xCF, 0x5D, 0x91, 0x48 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0x01, 0x49, 0xDB, 0x82, 0xDF, 0x5F, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x06, 0x90, 0xAD, 0xE3, 0x38, 0xA4, 0xC4 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xD2, 0x3A, 0xE8, 0x03, 0xC5, 0x6D, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x35, 0xD0, 0xAE, 0x1D, 0x7A, 0x9F, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x1E, 0xD2, 0xCB, 0xAC, 0x88, 0x27, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x9C, 0xE0, 0x31, 0xDD, 0x99, 0x86 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0xF9, 0x9B, 0x32, 0x96, 0x41, 0x58, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x5A, 0x2A, 0xB8, 0x96, 0x0E, 0xB2, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x78, 0x2C, 0xC7, 0x08, 0x99, 0x19, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x59, 0x28, 0xE9, 0x84, 0x54, 0xE6, 0x16 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x38, 0x30, 0xDB, 0x70, 0x2C, 0x0A, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x5C, 0x9D, 0xE9, 0xD5, 0x46, 0x0B, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x0B, 0x60, 0x4B, 0x37, 0x7D, 0xB9, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x24, 0xF3, 0x3D, 0x79, 0x7F, 0x6C, 0x18 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7F, 0xE5, 0x1C, 0x4F, 0x60, 0x24, 0xF7, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0xD8, 0xE2, 0x91, 0x7F, 0x89, 0x49, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0xA7, 0x2E, 0x8D, 0x6A, 0xB3, 0x39, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x89, 0xB5, 0x9A, 0xB8, 0x8D, 0x42, 0x9C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0x45, 0xE6, 0x4B, 0x3F, 0x4F, 0x1E, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x65, 0x5E, 0x59, 0x22, 0xCC, 0x72, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x93, 0x1A, 0x27, 0x1E, 0x34, 0xC5, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0xF2, 0xA5, 0x58, 0x5C, 0x15, 0x2E, 0xC6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x7F, 0xBA, 0x58, 0x5A, 0x84, 0x6F, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xA6, 0x36, 0x7E, 0xDC, 0xF7, 0xE1, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x4D, 0xAA, 0xEE, 0x57, 0x76, 0x3A, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x7E, 0x26, 0x18, 0x22, 0x23, 0x9F, 0xFF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x4C, 0x64, 0xC7, 0x55, 0x02, 0x3F, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x02, 0x90, 0xBB, 0xC3, 0xEC, 0x30, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0x6F, 0x64, 0xF4, 0x16, 0x69, 0x48, 0xA4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x44, 0x9C, 0x95, 0x0C, 0x7D, 0x67, 0x5E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0x91, 0x8B, 0xD8, 0xD0, 0xD7, 0xE7, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0xF9, 0x48, 0x62, 0x6F, 0xA8, 0x93, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0x3A, 0x99, 0x02, 0xD5, 0x0B, 0x3D, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xD3, 0x00, 0x31, 0xE6, 0x0C, 0x9F, 0x44 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0xB2, 0xAA, 0xFD, 0x88, 0x15, 0xDF, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4C, 0x35, 0x27, 0x31, 0x44, 0xCD, 0xC0, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0xF8, 0x91, 0xA5, 0x71, 0x94, 0x84, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0xCB, 0xD0, 0x93, 0xE9, 0x88, 0xDA, 0xE4 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0xC6, 0x39, 0x16, 0x5D, 0xA3, 0x1E, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x07, 0x37, 0x26, 0x36, 0x2A, 0xFE, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xBC, 0xF3, 0xD0, 0xDE, 0x50, 0xFC, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x2E, 0x06, 0x10, 0x15, 0x4D, 0xFA, 0xF7 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x65, 0x69, 0x5B, 0x66, 0xA2, 0x75, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x16, 0x00, 0x5A, 0xB0, 0x30, 0x25, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0xFB, 0x86, 0x42, 0x80, 0xC1, 0xC4, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x1D, 0x83, 0x8E, 0x94, 0x01, 0x5F, 0x82 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0x37, 0x70, 0xEF, 0x1F, 0xA1, 0xF0, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x5B, 0xCE, 0xC4, 0x9B, 0x6F, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x11, 0x11, 0x24, 0x4F, 0x4C, 0x79, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0x3A, 0x72, 0xBC, 0xFE, 0x72, 0x58, 0x43 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp256r1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp256r1_T_0_X, secp256r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_1_X, secp256r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_2_X, secp256r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_3_X, secp256r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_4_X, secp256r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_5_X, secp256r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_6_X, secp256r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_7_X, secp256r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_8_X, secp256r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_9_X, secp256r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_10_X, secp256r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_11_X, secp256r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_12_X, secp256r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_13_X, secp256r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_14_X, secp256r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256r1_T_15_X, secp256r1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp256r1_T NULL
|
|
|
|
#endif
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for secp384r1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp384r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp384r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x2A, 0xEC, 0xD3, 0xED, 0xC8, 0x85, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0xD1, 0x2E, 0x8A, 0x8D, 0x39, 0x56, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x87, 0x13, 0x50, 0x8F, 0x08, 0x14, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0x41, 0x81, 0xFE, 0x6E, 0x9C, 0x1D, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x2D, 0xF8, 0xE3, 0x6B, 0x05, 0x8E, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0xE7, 0x3E, 0xE2, 0xA7, 0x2F, 0x31, 0xB3 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp384r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp384r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp384r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x29, 0xC5, 0xCC, 0x6A, 0x19, 0xEC, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0xA7, 0xB0, 0x48, 0xB2, 0x0D, 0x1A, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x2D, 0x37, 0xF4, 0x81, 0x4D, 0x63, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0x76, 0x72, 0x38, 0x5E, 0x54, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x29, 0x55, 0xBF, 0x5D, 0xF2, 0x02, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x2A, 0x54, 0x82, 0xE0, 0x41, 0xF7, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x9B, 0xA7, 0x8B, 0x62, 0x3B, 0x1D, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xAD, 0x20, 0xF3, 0x1E, 0xC7, 0xB1, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x05, 0x8B, 0xBE, 0x22, 0xCA, 0x87, 0xAA ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x0E, 0xEA, 0x90, 0x7C, 0x1D, 0x43, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x81, 0x7E, 0x1D, 0xCE, 0xB1, 0x60, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0xB8, 0xF0, 0xB5, 0x13, 0x31, 0xDA, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x14, 0x9A, 0x28, 0xBD, 0x1D, 0xF4, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0xDC, 0x92, 0x92, 0xBF, 0x98, 0x9E, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x2C, 0x26, 0x96, 0x4A, 0xDE, 0x17, 0x36 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x92, 0x00, 0x2C, 0x78, 0xDB, 0x1F, 0x37 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xF3, 0xEB, 0xB7, 0x06, 0xF7, 0xB6, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xBC, 0x2C, 0xCF, 0xD8, 0xED, 0x53, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0x75, 0x7B, 0xA3, 0xAB, 0xC3, 0x2C, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x9D, 0x78, 0x41, 0xF6, 0x76, 0x84, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x56, 0xE8, 0x52, 0xB3, 0xCB, 0xA8, 0xBD ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xF2, 0xAE, 0xA4, 0xB6, 0x89, 0x1B, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x0F, 0xCE, 0x1C, 0x7C, 0xF6, 0x50, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4C, 0xEB, 0x90, 0xE6, 0x4D, 0xC7, 0xD4, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0x49, 0x2D, 0x8A, 0x01, 0x99, 0x60, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x80, 0x9B, 0x9B, 0x6A, 0xB0, 0x07, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0xA2, 0xEE, 0x59, 0xBE, 0x95, 0xBC, 0x23 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x9D, 0x56, 0xAE, 0x59, 0xFB, 0x1F, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0xAC, 0x91, 0x80, 0x87, 0xA8, 0x6E, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x08, 0xA7, 0x08, 0x94, 0x32, 0xFC, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0x29, 0x9E, 0x84, 0xF4, 0xE5, 0x6E, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x21, 0xB9, 0x50, 0x24, 0xF8, 0x9C, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x04, 0x01, 0xC2, 0xFB, 0x77, 0x3E, 0xDE ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x38, 0xEE, 0xE3, 0xC7, 0x9D, 0xEC, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x88, 0xCF, 0x43, 0xFA, 0x92, 0x5E, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0xCA, 0x43, 0xF8, 0x3B, 0x49, 0x7E, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0xE7, 0xEB, 0x17, 0x45, 0x86, 0xC2, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x69, 0x57, 0x32, 0xE0, 0x9C, 0xD1, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x10, 0xB8, 0x4D, 0xB8, 0xF4, 0x0D, 0xE3 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x60, 0xDC, 0x9A, 0xB2, 0x79, 0x39, 0x27, 0x16 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x71, 0xE4, 0x3B, 0x4D, 0x60, 0x0C, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0xBD, 0x19, 0x40, 0xFA, 0x19, 0x2A, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0xF8, 0x1E, 0x43, 0xA1, 0x50, 0x8D, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x18, 0x7C, 0x41, 0xFA, 0x7C, 0x1B, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x59, 0x24, 0xC4, 0xE9, 0xB7, 0xD3, 0xAD ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x01, 0x3D, 0x63, 0x54, 0x45, 0x6F, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0xB2, 0x19, 0xA3, 0x86, 0x1D, 0x42, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x02, 0x87, 0x18, 0x92, 0x52, 0x1A, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x18, 0xB1, 0x5D, 0x18, 0x1B, 0x37, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x74, 0x61, 0xBA, 0x18, 0xAF, 0x40, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x7D, 0x3C, 0x52, 0x0F, 0x07, 0xB0, 0x6F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x39, 0x13, 0xAA, 0x60, 0x15, 0x99, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0x00, 0xCB, 0xC6, 0xB1, 0xDB, 0x97, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xFA, 0x60, 0xB8, 0x24, 0xE4, 0x7D, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x75, 0xB3, 0x70, 0xB2, 0x83, 0xB1, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0xE3, 0x6C, 0xCD, 0x33, 0x62, 0x7A, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x30, 0xDC, 0x0F, 0x9F, 0xBB, 0xB8, 0xAA ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0xD5, 0x0A, 0x60, 0x81, 0xB9, 0xC5, 0x16 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0xAA, 0x2F, 0xD6, 0xF2, 0x73, 0xDF, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x7B, 0x74, 0xC9, 0xB3, 0x5B, 0x95, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x04, 0xEB, 0x15, 0xC8, 0x5F, 0x00, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x50, 0x20, 0x28, 0xD1, 0x01, 0xAF, 0xF0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x4F, 0x31, 0x81, 0x2F, 0x94, 0x48 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x2F, 0xD8, 0xB6, 0x63, 0x7C, 0xE9, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x8C, 0xB9, 0x14, 0xD9, 0x37, 0x63, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x02, 0xB8, 0x46, 0xAD, 0xCE, 0x7B, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x47, 0x2D, 0x66, 0xA7, 0xE9, 0x33, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0xF9, 0x93, 0x94, 0xA8, 0x48, 0xB3, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x4A, 0xAC, 0x51, 0x08, 0x72, 0x2F, 0x1A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0xAD, 0xA0, 0xF9, 0x81, 0xE1, 0x78, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x9A, 0x63, 0xD8, 0xBA, 0x79, 0x1A, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x31, 0x7B, 0x7A, 0x5A, 0x5D, 0x7D, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x96, 0x12, 0x4B, 0x19, 0x09, 0xE0, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x8A, 0x57, 0xEE, 0x4E, 0x6E, 0x7E, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x9D, 0x69, 0xDC, 0xB3, 0xDA, 0xD8, 0x08 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x49, 0x03, 0x03, 0x33, 0x6F, 0x28, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xDB, 0xA7, 0x05, 0x8C, 0xF3, 0x4D, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x92, 0xB1, 0xA8, 0xEC, 0x0D, 0x64, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0xFC, 0xFD, 0xD0, 0x4B, 0x88, 0x1B, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x9C, 0x51, 0x69, 0xCE, 0x71, 0x73, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x5A, 0x14, 0x23, 0x1A, 0x46, 0x63, 0x5F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x4C, 0x70, 0x44, 0x18, 0xCD, 0xEF, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x49, 0xDD, 0x64, 0x7E, 0x7E, 0x4D, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA2, 0x32, 0x7C, 0x09, 0xD0, 0x3F, 0xD6, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xE0, 0x4F, 0x65, 0x0C, 0x7A, 0x54, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xFA, 0xFB, 0x4A, 0xB4, 0x79, 0x5A, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x1B, 0x2B, 0xDA, 0xBC, 0x9A, 0x74 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xAC, 0x56, 0xF7, 0x5F, 0x51, 0x68, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0xE0, 0x1D, 0xBC, 0x13, 0x4E, 0xAC, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xF5, 0xC5, 0xE6, 0xD2, 0x88, 0xBA, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x0E, 0x28, 0x23, 0x58, 0x67, 0xFA, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x80, 0x4B, 0xD8, 0xC4, 0xDF, 0x15, 0xE4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x0E, 0x58, 0xE6, 0x2C, 0x59, 0xC2, 0x03 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x26, 0x27, 0x99, 0x16, 0x2B, 0x22, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0xF3, 0x8F, 0xC3, 0x2A, 0x9B, 0xFC, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x2E, 0x83, 0x3D, 0xFE, 0x9E, 0x3C, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x57, 0xCD, 0x2D, 0xC1, 0x49, 0x38, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x42, 0x8B, 0x33, 0x89, 0x1F, 0xEA, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x1D, 0x13, 0xD7, 0x50, 0xBB, 0x3E, 0xEB ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x9A, 0x52, 0xD2, 0x54, 0x7C, 0x97, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x33, 0x6E, 0xED, 0xD9, 0x87, 0x50, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x35, 0x7E, 0x16, 0x40, 0x15, 0x83, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x2B, 0xA4, 0xAB, 0x03, 0x91, 0xEA, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x47, 0x39, 0xEF, 0x05, 0x59, 0xD0, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x24, 0x0D, 0x76, 0x11, 0x53, 0x08, 0xAF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x2F, 0xDD, 0xBD, 0x50, 0x48, 0xB1, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x1C, 0x84, 0x55, 0x78, 0x14, 0xEB, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x5E, 0x3E, 0xA6, 0xAF, 0xF6, 0xC7, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x11, 0xE2, 0x65, 0xCA, 0x41, 0x95, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x83, 0xD8, 0xE6, 0x4D, 0x22, 0x06, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x7F, 0x25, 0x2A, 0xAA, 0x28, 0x46, 0x97 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0xDB, 0x15, 0x56, 0x84, 0xCB, 0xC0, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0xDB, 0x0E, 0x08, 0xC9, 0xF5, 0xD4, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x62, 0xD0, 0x1A, 0x7C, 0x13, 0xD5, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0xAD, 0x53, 0xE0, 0x32, 0x21, 0xA0, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x38, 0x81, 0x21, 0x23, 0x0E, 0xD2, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x51, 0x05, 0xD0, 0x1E, 0x82, 0xA9, 0x71 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0xC3, 0x27, 0xBF, 0xC6, 0xAA, 0xB7, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x65, 0x45, 0xDF, 0xB9, 0x46, 0x17, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x38, 0x3F, 0xB2, 0xB1, 0x5D, 0xCA, 0x1C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x29, 0x6C, 0x63, 0xE9, 0xD7, 0x48, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xF1, 0xD7, 0x99, 0x8C, 0xC2, 0x05, 0x99 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xE6, 0x5E, 0x82, 0x6D, 0xE5, 0x7E, 0xD5 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x61, 0xFA, 0x7D, 0x01, 0xDB, 0xB6, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xC6, 0x58, 0x39, 0xF4, 0xC6, 0x82, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x5A, 0x7A, 0x80, 0x08, 0xCD, 0xAA, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x8C, 0xC6, 0x3F, 0x3C, 0xA5, 0x68, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0xF5, 0xD5, 0x17, 0xAE, 0x36, 0xD8, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0xAD, 0x92, 0xC5, 0x57, 0x6C, 0xDA, 0x91 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x67, 0x17, 0xC0, 0x40, 0x78, 0x8C, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x9F, 0xF4, 0xAA, 0xDA, 0x5C, 0x7E, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xDB, 0x42, 0x3E, 0x72, 0x64, 0xA0, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0xF9, 0x41, 0x17, 0x43, 0xE3, 0xE8, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xDD, 0xCC, 0x43, 0x7E, 0x16, 0x05, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0x4B, 0xCF, 0x48, 0x8F, 0x41, 0x90, 0xE5 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x0C, 0x6B, 0x9D, 0x22, 0x04, 0xBC, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x63, 0x79, 0x2F, 0x6A, 0x0E, 0x8A, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x67, 0x3F, 0x02, 0xB8, 0x91, 0x7F, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x14, 0x64, 0xA0, 0x33, 0xF4, 0x6B, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x44, 0x71, 0x87, 0xB8, 0x88, 0x3F, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x2B, 0x85, 0x05, 0xC5, 0x44, 0x53, 0x15 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x2B, 0xFE, 0xD1, 0x1C, 0x73, 0xE3, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0x33, 0xA1, 0xD3, 0x69, 0x1C, 0x9D, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x5A, 0xBA, 0xB6, 0xAE, 0x1B, 0x94, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0x74, 0x90, 0x5C, 0x57, 0xB0, 0x3A, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x2F, 0x93, 0x20, 0x24, 0x54, 0x1D, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x78, 0x9D, 0x71, 0x67, 0x5D, 0x49, 0x98 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0xC8, 0x0E, 0x11, 0x8D, 0xE0, 0x8F, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x7F, 0x79, 0x6C, 0x5F, 0xB7, 0xBC, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0xE1, 0x83, 0x3C, 0x12, 0xBB, 0xEE, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xC2, 0xC4, 0x1B, 0x41, 0x71, 0xB9, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0xEE, 0xBB, 0x1D, 0x89, 0x50, 0x88, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x1C, 0x55, 0x74, 0xEB, 0xDE, 0x92, 0x3F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x38, 0x92, 0x06, 0x19, 0xD0, 0xB3, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x99, 0x26, 0xA3, 0x5F, 0xE2, 0xC1, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0xFC, 0xFD, 0xC3, 0xB6, 0x26, 0x24, 0x8F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xAD, 0xE7, 0x49, 0xB7, 0x64, 0x4B, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x4E, 0x95, 0xAD, 0x07, 0xFE, 0xB6, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x15, 0xE7, 0x2D, 0x19, 0xA9, 0x08, 0x10 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xBD, 0xAC, 0x0A, 0x3F, 0x6B, 0xFF, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0xE4, 0x74, 0x14, 0xD9, 0x70, 0x1D, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0xB0, 0x71, 0xBB, 0xD8, 0x18, 0x96, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0xB8, 0x19, 0x90, 0x80, 0xB5, 0xEE, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x21, 0x20, 0xA6, 0x17, 0x48, 0x03, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0xBB, 0x6D, 0x94, 0x20, 0x34, 0xF1 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x82, 0x67, 0x4B, 0x8E, 0x4E, 0xBE, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xDA, 0x77, 0xF8, 0x23, 0x55, 0x2B, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x02, 0xDE, 0x25, 0x35, 0x2D, 0x74, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x0C, 0xB8, 0x0B, 0x39, 0xBA, 0xAD, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0x0E, 0x28, 0x4D, 0xE1, 0x3D, 0xE4, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xEC, 0x0A, 0xD4, 0xB8, 0xC4, 0x8D, 0xB0 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x68, 0xCE, 0xC2, 0x55, 0x4D, 0x0C, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x20, 0x93, 0x32, 0x90, 0xD6, 0xAE, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x78, 0xAB, 0x43, 0x9E, 0xEB, 0x73, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x97, 0xC3, 0x83, 0xA6, 0x3C, 0xF1, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0x25, 0x25, 0x66, 0x08, 0x26, 0xFA, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xFB, 0x44, 0x5D, 0x82, 0xEC, 0x3B, 0xAC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x90, 0xEA, 0xB5, 0x04, 0x99, 0xD0, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0xF2, 0x22, 0xA0, 0xEB, 0xFD, 0x45, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xA4, 0x81, 0x32, 0xFC, 0xFA, 0xEE, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0xBB, 0xA4, 0x6A, 0x77, 0x41, 0x5C, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x1E, 0xAA, 0x4F, 0xF0, 0x10, 0xB3, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x74, 0x13, 0x14, 0x9E, 0x90, 0xD7, 0xE6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0xBD, 0x70, 0x4F, 0xA8, 0xD1, 0x06, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x4E, 0x2E, 0x68, 0xFC, 0x35, 0xFA, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x60, 0x53, 0x75, 0xED, 0xF2, 0x5F, 0xC2, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0x87, 0x6B, 0x9F, 0x05, 0xE2, 0x22, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x1A, 0xA8, 0xB7, 0x03, 0x9E, 0x6D, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0xD0, 0x69, 0x88, 0xA8, 0x39, 0x9E, 0x3A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0xEF, 0x68, 0xFE, 0xEC, 0x24, 0x08, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x4B, 0x92, 0x0D, 0xB7, 0x34, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0xF4, 0xDD, 0x1A, 0xA0, 0x4A, 0xE4, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x63, 0x4F, 0x4F, 0xCE, 0xBB, 0xD6, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xEE, 0x8D, 0xDF, 0x3F, 0x73, 0xB7, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x06, 0xB6, 0x80, 0x4D, 0x81, 0xD9, 0x53 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_16_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0xF5, 0x13, 0xDF, 0x13, 0x19, 0x97, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xF9, 0xB3, 0x33, 0x66, 0x82, 0x21, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xFC, 0x39, 0x16, 0x23, 0x43, 0x76, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x48, 0x25, 0xA1, 0x64, 0x95, 0x1C, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0xAC, 0x15, 0x57, 0xD9, 0xDE, 0xA0, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x5F, 0xB8, 0x3D, 0x48, 0x91, 0x24, 0xCC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_16_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0xF2, 0xC8, 0x54, 0xD1, 0x32, 0xBD, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x3B, 0xF0, 0xAA, 0x9D, 0xD8, 0xF4, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0xC3, 0xBB, 0x6C, 0x66, 0xAC, 0x25, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x25, 0x10, 0xB2, 0xE1, 0x41, 0xDE, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0xE8, 0x30, 0xB8, 0x37, 0xBC, 0x2A, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x57, 0x01, 0x4A, 0x1E, 0x78, 0x9F, 0x85 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_17_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0x19, 0xCD, 0x12, 0x0B, 0x51, 0x4F, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x4B, 0x3D, 0x24, 0xA4, 0x16, 0x59, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xEB, 0xD3, 0x59, 0x2E, 0x75, 0x7C, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0xB9, 0xB4, 0xA5, 0xD9, 0x2E, 0x29, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x16, 0x05, 0x75, 0x02, 0xB3, 0x06, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x7C, 0x9F, 0x79, 0x91, 0xF1, 0x4F, 0x23 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_17_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x98, 0x7C, 0x84, 0xE1, 0xFF, 0x30, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0xE2, 0xC2, 0x5F, 0x55, 0x40, 0xBD, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0x65, 0x87, 0x3F, 0xC4, 0xC2, 0x24, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0x30, 0x0A, 0x60, 0x15, 0xD1, 0x24, 0x48 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x99, 0xD9, 0xB6, 0xAE, 0xB1, 0xAF, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x80, 0xEE, 0xA2, 0x0F, 0x74, 0xB9, 0xF3 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_18_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0xE6, 0x0F, 0x37, 0xC1, 0x10, 0x99, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0xAD, 0x9D, 0x5D, 0x80, 0x01, 0xA6, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x0F, 0x10, 0x2A, 0x9D, 0x20, 0x38, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x60, 0xCB, 0xCE, 0x5A, 0xA0, 0xA7, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0xCF, 0x14, 0xDF, 0xBF, 0xE5, 0x74, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x12, 0x1A, 0xDD, 0x59, 0x02, 0x5D, 0xC6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_18_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0xF8, 0xF5, 0xB6, 0x13, 0x4D, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x45, 0xB1, 0x93, 0xB3, 0xA2, 0x79, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xF6, 0xCF, 0xF7, 0xE6, 0x29, 0x9C, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x50, 0x65, 0x80, 0xBC, 0x59, 0x0A, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xF0, 0x24, 0x35, 0xA2, 0x46, 0xF0, 0x0C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0x26, 0xC0, 0x9D, 0x61, 0x56, 0x62, 0x67 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_19_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xBB, 0xC2, 0x24, 0x43, 0x2E, 0x37, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0xF7, 0xCE, 0x35, 0xFC, 0x77, 0xF3, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x34, 0x96, 0xD5, 0x4A, 0x76, 0x9D, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x3B, 0x0F, 0xEA, 0xA8, 0x12, 0x0B, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0x3F, 0x5D, 0x2D, 0x1C, 0xD4, 0x9E, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x2E, 0xDD, 0xC7, 0x6E, 0xAB, 0xAF, 0xDC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_19_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0xB2, 0x7B, 0x0C, 0x9A, 0x83, 0x8E, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x51, 0x90, 0x92, 0x79, 0x32, 0x19, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0x89, 0xF9, 0xD0, 0xCF, 0x2C, 0xA5, 0x8F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x50, 0x21, 0xDE, 0x50, 0x41, 0x9D, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x7D, 0x2B, 0x9E, 0x9D, 0x95, 0xA8, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xA5, 0x20, 0x87, 0x88, 0x97, 0x5F, 0xAA ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_20_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x59, 0xB4, 0x66, 0x7E, 0xE8, 0x5A, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x5C, 0x7E, 0xB2, 0xAD, 0xD9, 0xC9, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x97, 0x49, 0xA3, 0x13, 0x83, 0x07, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x26, 0xC7, 0x13, 0x35, 0x0D, 0xB0, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x60, 0xAB, 0xFA, 0x4B, 0x93, 0x18, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x2D, 0x1C, 0x31, 0x4C, 0xE4, 0x61, 0xAE ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_20_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0x4D, 0x1E, 0x51, 0x59, 0x6E, 0x91, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x54, 0x4D, 0x51, 0xED, 0x36, 0xCC, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0xA8, 0x56, 0xC7, 0x78, 0x27, 0x33, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0xB7, 0x95, 0xC9, 0x8B, 0xC8, 0x6A, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0xE9, 0x13, 0x96, 0xB3, 0xE1, 0xF9, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x46, 0xB0, 0x5E, 0xC3, 0x94, 0x03, 0x05 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_21_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x5B, 0x29, 0x30, 0x41, 0x1A, 0x9E, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0xCA, 0x83, 0x31, 0x5B, 0xA7, 0xCB, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x41, 0x50, 0x44, 0x4D, 0x64, 0x31, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0x84, 0xC2, 0x5D, 0x97, 0xA5, 0x3C, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x0F, 0xA5, 0xFD, 0x8E, 0x5A, 0x47, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x58, 0x02, 0x2D, 0x40, 0xB1, 0x0B, 0xBA ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_21_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x33, 0x8C, 0x67, 0xCE, 0x23, 0x43, 0x99 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x53, 0x47, 0x72, 0x44, 0x1F, 0x5B, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0xC1, 0xD9, 0xA4, 0x50, 0x88, 0x63, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0xF2, 0x75, 0x69, 0x73, 0x00, 0xC4, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0x90, 0x1D, 0xDF, 0x1A, 0x00, 0xD8, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0xB1, 0x89, 0x48, 0xA8, 0x70, 0x62, 0xEF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_22_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x8A, 0x55, 0x50, 0x7B, 0xEF, 0x8A, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0x1B, 0x23, 0x48, 0x23, 0x63, 0x91, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x04, 0x54, 0x3C, 0x24, 0x9B, 0xC7, 0x9A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0x38, 0xC3, 0x84, 0xFB, 0xFF, 0x9F, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0x2A, 0xE0, 0x6D, 0x68, 0x8A, 0x5C, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x93, 0x53, 0x85, 0xA1, 0x0D, 0xAF, 0x63 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_22_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x88, 0x95, 0x4C, 0x0B, 0xD0, 0x06, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0xAF, 0x8D, 0x49, 0xA2, 0xC8, 0xB4, 0xE0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x76, 0x53, 0x09, 0x88, 0x43, 0x87, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xA4, 0x77, 0x3F, 0x5E, 0x21, 0xB4, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0x9E, 0x86, 0x64, 0xCC, 0x91, 0xC1, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x17, 0x56, 0xCB, 0xC3, 0x7D, 0x5B, 0xB1 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_23_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x74, 0x9F, 0xB5, 0x91, 0x21, 0xB1, 0x1C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xED, 0xE1, 0x11, 0xEF, 0x45, 0xAF, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x31, 0xBE, 0xB2, 0xBC, 0x72, 0x65, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0x4B, 0x8C, 0x77, 0xCE, 0x1E, 0x42, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xC9, 0xAA, 0xB9, 0xD9, 0x86, 0x99, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x23, 0x80, 0xC6, 0x4E, 0x35, 0x0B, 0x6D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_23_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0xD8, 0xA2, 0x0A, 0x39, 0x32, 0x1D, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0xC8, 0x86, 0xF1, 0x12, 0x9A, 0x4A, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xF1, 0x7C, 0xAA, 0x70, 0x8E, 0xBC, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x01, 0x47, 0x8F, 0xDD, 0x8B, 0xA5, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x08, 0x21, 0xF4, 0xAB, 0xC7, 0xF5, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0x76, 0xA5, 0x95, 0xC4, 0x0F, 0x88, 0x1D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_24_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x42, 0x2A, 0x52, 0xCD, 0x75, 0x51, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0x36, 0xE5, 0x04, 0x2B, 0x44, 0xC6, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xEE, 0x16, 0x13, 0x07, 0x83, 0xB5, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x59, 0xC6, 0xA2, 0x19, 0x05, 0xD3, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x8B, 0xA8, 0x16, 0x09, 0xB7, 0xEA, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0xEE, 0x14, 0xAF, 0xB5, 0xFD, 0xD0, 0xEF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_24_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0x7C, 0xCA, 0x71, 0x3E, 0x6E, 0x66, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x31, 0x0E, 0x3F, 0xE5, 0x91, 0xC4, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x3D, 0xC2, 0x3E, 0x95, 0x37, 0x58, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x1F, 0x02, 0x03, 0xF3, 0xEF, 0xEE, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x5B, 0x1A, 0xFC, 0x38, 0xCD, 0xE8, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0x57, 0x42, 0x85, 0xC6, 0x21, 0x68, 0x71 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_25_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xA2, 0x4A, 0x66, 0xB1, 0x0A, 0xE6, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x0C, 0x94, 0x9D, 0x5E, 0x99, 0xB2, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x03, 0x40, 0xCA, 0xB2, 0xB3, 0x30, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x78, 0x48, 0x27, 0x34, 0x1E, 0xE2, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x72, 0x5B, 0xAC, 0xC1, 0x6D, 0xE3, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xAB, 0x46, 0xCB, 0xEA, 0x5E, 0x4B, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_25_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x08, 0xAD, 0x4E, 0x51, 0x9F, 0x2A, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x5C, 0x7D, 0x4C, 0xD6, 0xCF, 0xDD, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x76, 0x26, 0xE0, 0x8B, 0x10, 0xD9, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0xA7, 0x23, 0x4E, 0x5F, 0xD2, 0x42, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0xE5, 0xA4, 0xEC, 0x77, 0x21, 0x34, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x14, 0x65, 0xEA, 0x4A, 0x85, 0xC3, 0x2F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_26_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0xD8, 0x40, 0x27, 0x73, 0x15, 0x7E, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xBB, 0x53, 0x7E, 0x0F, 0x40, 0xC8, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0x37, 0x19, 0x73, 0xEF, 0x5A, 0x5E, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x73, 0x2B, 0x49, 0x7E, 0xAC, 0x97, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0xB2, 0xC3, 0x1E, 0x0E, 0xE7, 0xD2, 0x21 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x08, 0xD6, 0xDD, 0xAC, 0x21, 0xD6, 0x3E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_26_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0x26, 0xBE, 0x6D, 0x6D, 0xF2, 0x38, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x6C, 0x31, 0xA7, 0x49, 0x50, 0x3A, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x99, 0xC6, 0xF5, 0xD2, 0xC2, 0x30, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xE4, 0xF6, 0x8B, 0x8B, 0x97, 0xE9, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x21, 0xB7, 0x0D, 0xFC, 0x15, 0x54, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x83, 0x1C, 0xA4, 0xCD, 0x6B, 0x9D, 0xF2 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_27_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xE8, 0x4C, 0x48, 0xE4, 0xAA, 0x69, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x7A, 0x27, 0xFC, 0x37, 0x96, 0x1A, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0xE7, 0x30, 0xA5, 0xCF, 0x13, 0x46, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0xD8, 0xAF, 0x74, 0x23, 0x4D, 0x56, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x3D, 0x44, 0x14, 0x1B, 0x97, 0x83, 0xF0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x47, 0xD7, 0x5F, 0xFD, 0x98, 0x38, 0xF7 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_27_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x73, 0x64, 0x36, 0xFD, 0x7B, 0xC1, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0x5D, 0x32, 0xD2, 0x47, 0x94, 0x89, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xE9, 0x30, 0xAC, 0x06, 0xC8, 0x65, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x6C, 0xB9, 0x1B, 0xF7, 0x61, 0x49, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0xFF, 0x32, 0x43, 0x80, 0xDA, 0xA6, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xF8, 0x04, 0x01, 0x95, 0x35, 0xCE, 0x21 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_28_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x06, 0x46, 0x0D, 0x51, 0xE2, 0xD8, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0x57, 0x1D, 0x6F, 0x79, 0xA0, 0xCD, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0xFB, 0x36, 0xCA, 0xAD, 0xF5, 0x9E, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x7A, 0x1D, 0x9E, 0x1D, 0x95, 0x48, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x26, 0xA5, 0xB7, 0x15, 0x2C, 0xC2, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x42, 0x72, 0xAA, 0x11, 0xDC, 0xC9, 0xB6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_28_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x6C, 0x64, 0xA7, 0x62, 0x3C, 0xAB, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0x6A, 0x44, 0xD8, 0x60, 0xC0, 0xA8, 0x80 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x76, 0x58, 0x12, 0x57, 0x3C, 0x89, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x4F, 0x83, 0xCE, 0xCB, 0xB8, 0xD0, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x84, 0x04, 0xB0, 0xAD, 0xEB, 0xFA, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xA4, 0xC3, 0x41, 0x44, 0x4E, 0x65, 0x3E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_29_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x16, 0xA9, 0x1C, 0xE7, 0x65, 0x20, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x53, 0x32, 0xF8, 0xC0, 0xA6, 0xBD, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xF0, 0xE6, 0x57, 0x31, 0xCC, 0x26, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0xE3, 0x54, 0x1C, 0x34, 0xD3, 0x17, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xAE, 0xED, 0xFB, 0xCD, 0xE7, 0x1E, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x16, 0x1C, 0x34, 0x40, 0x00, 0x1F, 0xB6 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_29_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x32, 0x00, 0xC2, 0xD4, 0x3B, 0x1A, 0x09 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xE0, 0x99, 0x8F, 0x0C, 0x4A, 0x16, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x73, 0x18, 0x1B, 0xD4, 0x94, 0x29, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0xA4, 0x2D, 0xB1, 0x9D, 0x74, 0x32, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0xF4, 0xB1, 0x0C, 0x37, 0x62, 0x8B, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xFF, 0xDA, 0xE2, 0x35, 0xA3, 0xB6, 0x42 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_30_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x49, 0x99, 0x65, 0xC5, 0xED, 0x16, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0x42, 0x9A, 0xF3, 0xA7, 0x4E, 0x6F, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x0A, 0x7E, 0xC0, 0xD7, 0x4E, 0x07, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x7A, 0x31, 0x69, 0xA6, 0xB9, 0x15, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0xE0, 0x72, 0xA4, 0x3F, 0xB9, 0xF8, 0x0C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0x75, 0x32, 0x85, 0xA2, 0xDE, 0x37, 0x12 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_30_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xC0, 0x0D, 0xCF, 0x25, 0x41, 0xA4, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0xFC, 0xB2, 0x48, 0xC3, 0x85, 0x83, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0xBE, 0x0B, 0x58, 0x2D, 0x7A, 0x9A, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0xF3, 0x81, 0x18, 0x1B, 0x74, 0x4F, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0x43, 0xA3, 0x0A, 0x16, 0x8B, 0xA3, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x18, 0x81, 0x7B, 0x8D, 0xA2, 0x35, 0x77 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_31_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xC4, 0x3F, 0x2C, 0xE7, 0x5F, 0x99, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x2B, 0xB7, 0xB6, 0xAD, 0x5A, 0x56, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x00, 0xA4, 0x48, 0xC8, 0xE8, 0xBA, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0xA1, 0xB5, 0x13, 0x5A, 0xCD, 0x99, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x95, 0xAD, 0xFC, 0xE2, 0x7E, 0xE7, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x6B, 0xD1, 0x34, 0x99, 0x53, 0x63, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp384r1_T_31_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x8A, 0x77, 0x5D, 0x2B, 0xAB, 0x01, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x85, 0xD0, 0xD5, 0x49, 0x83, 0x4D, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0xC6, 0x91, 0x30, 0x3B, 0x00, 0xAF, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0xAE, 0x61, 0x07, 0xE1, 0xB6, 0xE2, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x43, 0x41, 0xFE, 0x9B, 0xB6, 0xF0, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x97, 0xAE, 0xAD, 0x89, 0x88, 0x9E, 0x41 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp384r1_T[32] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp384r1_T_0_X, secp384r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_1_X, secp384r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_2_X, secp384r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_3_X, secp384r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_4_X, secp384r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_5_X, secp384r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_6_X, secp384r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_7_X, secp384r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_8_X, secp384r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_9_X, secp384r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_10_X, secp384r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_11_X, secp384r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_12_X, secp384r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_13_X, secp384r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_14_X, secp384r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_15_X, secp384r1_T_15_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_16_X, secp384r1_T_16_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_17_X, secp384r1_T_17_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_18_X, secp384r1_T_18_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_19_X, secp384r1_T_19_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_20_X, secp384r1_T_20_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_21_X, secp384r1_T_21_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_22_X, secp384r1_T_22_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_23_X, secp384r1_T_23_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_24_X, secp384r1_T_24_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_25_X, secp384r1_T_25_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_26_X, secp384r1_T_26_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_27_X, secp384r1_T_27_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_28_X, secp384r1_T_28_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_29_X, secp384r1_T_29_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_30_X, secp384r1_T_30_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp384r1_T_31_X, secp384r1_T_31_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp384r1_T NULL
|
|
|
|
#endif
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for secp521r1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp521r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp521r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x3F, 0x50, 0x6B, 0xD4, 0x1F, 0x45, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x34, 0x2C, 0x3D, 0x88, 0xDF, 0x73, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xBF, 0xB1, 0x3B, 0xBD, 0xC0, 0x52, 0x16 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x93, 0x7E, 0xEC, 0x51, 0x39, 0x19, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x09, 0xF1, 0x8E, 0x91, 0x89, 0xB4, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x15, 0xB3, 0x99, 0x5B, 0x72, 0xDA, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0x40, 0x85, 0xB6, 0xA0, 0x21, 0x9A, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x9A, 0x1C, 0x8E, 0x61, 0xB9, 0x3E, 0x95 ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x51, 0x00 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp521r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0xC6, 0x00 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp521r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x18, 0x01 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp521r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x64, 0x38, 0x91, 0x1E, 0xB7, 0x6F, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x47, 0x9C, 0x89, 0xB8, 0xC9, 0xB5, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0xA5, 0x09, 0xF7, 0x48, 0x01, 0xCC, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x96, 0x2F, 0xBF, 0x83, 0x87, 0x86, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
2013-12-11 12:15:28 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0xFF, 0x01 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xBD, 0xE5, 0xC2, 0x31, 0x7E, 0x7E, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x42, 0x6A, 0x85, 0xC1, 0xB3, 0x48, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0xA8, 0xFF, 0xA2, 0x27, 0xC1, 0x1D, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x59, 0xE7, 0xEF, 0x77, 0x5E, 0x4B, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x3D, 0x4D, 0x6B, 0x60, 0xAF, 0x28, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xB5, 0x3F, 0x05, 0x39, 0x81, 0x64, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0xB4, 0x95, 0x23, 0x66, 0xCB, 0x3E, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xE9, 0x04, 0x04, 0xB7, 0x06, 0x8E, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x66, 0xD1, 0x9F, 0x76, 0x94, 0xBE, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0xC2, 0x72, 0xA2, 0x86, 0x70, 0x3C, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x07, 0xAD, 0x3F, 0x01, 0xB9, 0x50, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x26, 0xF4, 0x5E, 0x99, 0x72, 0xEE, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x66, 0x3E, 0x27, 0x17, 0xBD, 0xAF, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x44, 0x9B, 0x57, 0x49, 0x44, 0xF5, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x1B, 0x7D, 0x2C, 0xB4, 0x5F, 0x8A, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0xC0, 0x3B, 0x9A, 0x78, 0x6A, 0x29, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xB1, 0x2D, 0xEB, 0x27, 0x2F, 0xE8, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x4B, 0x44, 0x25, 0xDB, 0x5C, 0x5F, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x85, 0x28, 0x78, 0x2E, 0x75, 0x34, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0x57, 0x0F, 0x73, 0x78, 0x7A, 0xE3, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xD8, 0xEC, 0xDC, 0xDA, 0x04, 0xAD, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x8A, 0x09, 0xF3, 0x58, 0x79, 0xD8, 0x29 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x03, 0xCB, 0x50, 0x1A, 0x7F, 0x56, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xA6, 0x78, 0x38, 0x85, 0x67, 0x0B, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0xD5, 0xD2, 0x22, 0xC4, 0x00, 0x3B, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x93, 0x0E, 0x7B, 0x85, 0x51, 0xC3, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xA6, 0x5F, 0x54, 0x49, 0x02, 0x81, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0xE9, 0x6B, 0x3A, 0x92, 0xE7, 0x72, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x5F, 0x28, 0x9E, 0x91, 0x27, 0x88, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x28, 0x31, 0xB3, 0x84, 0xCA, 0x12, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xF9, 0xAC, 0x22, 0x10, 0x0A, 0x64, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0xC6, 0x33, 0x1F, 0x69, 0x19, 0x18, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x48, 0xB8, 0xC7, 0x37, 0x5A, 0x00, 0x36 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xCC, 0x32, 0xE0, 0xEE, 0x03, 0xC2, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x29, 0xC2, 0xE4, 0x6E, 0x24, 0x20, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x6B, 0x7F, 0x7B, 0xF9, 0xB0, 0xB8, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x7B, 0x3C, 0xE1, 0x19, 0xA1, 0x23, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xE3, 0xC2, 0x53, 0xC0, 0x07, 0x13, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xFE, 0x36, 0x35, 0x9F, 0x5E, 0x59, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x55, 0x89, 0x84, 0xBC, 0xEF, 0xA2, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0x1A, 0x08, 0x67, 0xB4, 0xE7, 0x22, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x26, 0xDF, 0x81, 0x3C, 0x5F, 0x1C, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x4D, 0xD0, 0x0A, 0x48, 0x06, 0xF4, 0x48 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x18, 0x39, 0xF7, 0xD1, 0x20, 0x77, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x78, 0x8F, 0x44, 0x13, 0xCB, 0x78, 0x11, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0xE2, 0x49, 0xEA, 0x43, 0x79, 0x08, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0xD1, 0xD8, 0x73, 0x2C, 0x71, 0x2F, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xE5, 0xE7, 0xF4, 0x46, 0xAB, 0x20, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0x0B, 0xB9, 0x71, 0x1A, 0x27, 0xB7, 0xA7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xA2, 0x2C, 0xD1, 0xDA, 0xBC, 0xC1, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xA3, 0x10, 0x1F, 0x90, 0xF2, 0xA5, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0xFB, 0x20, 0xF4, 0xC0, 0x70, 0xC0, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0xA7, 0x99, 0xF0, 0xA5, 0xD3, 0x09, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0xE8, 0x14, 0x39, 0xBE, 0xCB, 0x60, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0xD6, 0x14, 0xA9, 0xC9, 0x20, 0xC3, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x5B, 0xFD, 0x2D, 0x96, 0xBC, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x04, 0x45, 0xBE, 0xCE, 0x75, 0x95, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0xDA, 0x58, 0x49, 0x35, 0x09, 0x8D, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0xF0, 0xC0, 0x36, 0xF2, 0xA6, 0x2D, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0xFC, 0x3D, 0xA8, 0xFB, 0x3C, 0xD2, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x4D, 0x71, 0x09, 0x18, 0x42, 0xF0, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xC1, 0xCE, 0x9E, 0x6A, 0x49, 0x60, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xB1, 0x00, 0xF7, 0xA1, 0x7A, 0x31, 0xB4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xC3, 0x86, 0xCD, 0x20, 0x4A, 0x17, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0xAB, 0x8B, 0x47, 0x8D, 0xAA, 0xA6, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x97, 0xF0, 0xBC, 0x2D, 0xDC, 0x9D, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x86, 0xB0, 0x74, 0xB2, 0xF4, 0xF6, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xBD, 0xAC, 0xE3, 0x8F, 0x43, 0x5C, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0xC3, 0xE2, 0x6E, 0x25, 0x49, 0xCD, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x5E, 0x08, 0xB3, 0xB9, 0xAC, 0x5F, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xB7, 0xD1, 0xF4, 0xDC, 0x19, 0xE9, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0xE4, 0xFA, 0xE1, 0x36, 0x3E, 0xED, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x67, 0x92, 0x84, 0x6E, 0x48, 0x03, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x95, 0xEF, 0x8F, 0xB2, 0x82, 0x6B, 0x1C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xFA, 0xB9, 0x55, 0x23, 0xFE, 0x09, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x79, 0x85, 0x4B, 0x0E, 0xD4, 0x35, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x27, 0x45, 0x81, 0xE0, 0x88, 0x52, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0x63, 0xA2, 0x4B, 0xBC, 0x5D, 0xB1, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x8C, 0x83, 0xD9, 0x3E, 0xD3, 0x42, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x03, 0x3A, 0x31, 0xBA, 0xE9, 0x3A, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0x10, 0xCD, 0x2D, 0x00, 0xFE, 0x32, 0xA7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x6E, 0x1F, 0xDA, 0xF8, 0x6F, 0x4D, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x79, 0x7D, 0x09, 0xE5, 0xD3, 0x03, 0x21 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0xC3, 0xBE, 0xDF, 0x07, 0x65, 0x49, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x57, 0x33, 0xEF, 0xAE, 0x4F, 0x04, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0xE9, 0x9B, 0xFE, 0xBF, 0xE6, 0x85, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0xBA, 0xAA, 0x06, 0xC4, 0xC6, 0xB8, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0x83, 0x01, 0xA9, 0xF6, 0x51, 0xE7, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xA6, 0x15, 0x8E, 0xAB, 0x1F, 0x10, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x08, 0x27, 0x1A, 0xA1, 0x21, 0xAD, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x09, 0x90, 0x6E, 0x50, 0x90, 0x9A, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x9A, 0xFE, 0xD7, 0xA1, 0xF5, 0xA2, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x7D, 0xE3, 0xDC, 0x21, 0xFB, 0xA4, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xBF, 0x07, 0xFF, 0x45, 0xDF, 0x51, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x5C, 0x34, 0x02, 0x62, 0x9B, 0x08, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xCE, 0x9A, 0x6A, 0xEC, 0x75, 0xF6, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x59, 0xF4, 0x78, 0x3C, 0x60, 0xB1, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x37, 0x84, 0x6A, 0xDC, 0xF2, 0x9A, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x9A, 0x9A, 0x15, 0x36, 0xE0, 0x2B, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x38, 0x9C, 0x50, 0x3D, 0x1E, 0x37, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x79, 0xF0, 0x92, 0xF2, 0x8B, 0x18, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xE0, 0x82, 0x1E, 0x80, 0x82, 0x4B, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xBB, 0x59, 0x6B, 0x8A, 0x77, 0x41, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0xF9, 0xD4, 0xB8, 0x4A, 0x82, 0xCF, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x8C, 0xC8, 0x9B, 0x72, 0x9E, 0xF7, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0xCE, 0xE9, 0x77, 0x0A, 0x19, 0x59, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0xA1, 0x41, 0x6A, 0x72, 0x4B, 0xB4, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x35, 0x43, 0xE2, 0x8C, 0xBE, 0x0D, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0xEB, 0xAD, 0xF3, 0xA9, 0xA6, 0x68, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x2F, 0xE2, 0x48, 0x0C, 0xDB, 0x1F, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0x1E, 0x60, 0x9B, 0x2A, 0xD2, 0xC1, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x64, 0xB5, 0xD2, 0xF6, 0xF6, 0x6E, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x3D, 0x30, 0x78, 0x10, 0x18, 0x41, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x1D, 0x1C, 0xE0, 0x6D, 0x83, 0xD1, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x03, 0x0B, 0xF5, 0x2F, 0x6C, 0x04, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x3E, 0xD5, 0xFC, 0x31, 0x5B, 0x3A, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x82, 0x2F, 0xFB, 0xFE, 0xF8, 0x76, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0x26, 0xDA, 0x9C, 0x36, 0xF5, 0x93, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4C, 0xE7, 0x6E, 0xD2, 0x7D, 0x81, 0x09, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x03, 0xF9, 0x58, 0x48, 0x24, 0xA2, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x79, 0x0C, 0x8E, 0x6B, 0x95, 0xF3, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x10, 0x5C, 0x87, 0x03, 0x39, 0xCF, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xF0, 0xF7, 0xC1, 0x07, 0xA4, 0xF4, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0xE8, 0x02, 0x89, 0x65, 0xC4, 0x72, 0x36 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x88, 0xEA, 0x96, 0x67, 0x0B, 0x5D, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x75, 0x60, 0xA8, 0xBD, 0x74, 0xDF, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0xE5, 0x71, 0x50, 0x67, 0xD0, 0xD2, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0xFC, 0xE5, 0xC7, 0x77, 0xB0, 0x7F, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x86, 0x69, 0xCD, 0x0D, 0x9A, 0xBD, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x17, 0xBC, 0xBB, 0x59, 0x85, 0x7D, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xA8, 0x76, 0xAC, 0x80, 0xA9, 0x72, 0xE0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x78, 0xC1, 0xE2, 0x4D, 0xAF, 0xF9, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x97, 0x8E, 0x74, 0xC4, 0x4B, 0xB2, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xD8, 0xF6, 0xF3, 0xAF, 0x2F, 0x52, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x57, 0xF4, 0xCE, 0xEE, 0x43, 0xED, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x46, 0x38, 0xDE, 0x20, 0xFD, 0x59, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x18, 0xE8, 0x58, 0xB9, 0x76, 0x2C, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x54, 0xE4, 0xFE, 0xC7, 0xBC, 0x31, 0x37 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xF8, 0x89, 0xEE, 0x70, 0xB5, 0xB0, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x22, 0x26, 0x9A, 0x53, 0xB9, 0x38, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xA7, 0x19, 0x8C, 0x74, 0x7E, 0x88, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0xDA, 0x0A, 0xE8, 0xDA, 0xA5, 0xBE, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0x5C, 0xF7, 0xB1, 0x0C, 0x72, 0xFB, 0x09 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x78, 0xE2, 0x23, 0xE7, 0x46, 0xB7, 0xE0, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x36, 0xBC, 0xBD, 0x48, 0x11, 0x8E, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0xBB, 0xA1, 0xF7, 0x0B, 0x9E, 0xBF, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x28, 0xE1, 0xA2, 0x8F, 0xFC, 0xFC, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0xFE, 0x19, 0x0A, 0xE5, 0xE7, 0x69, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0xCD, 0x12, 0xF5, 0xBE, 0xD3, 0x04, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xA8, 0x0D, 0x81, 0x59, 0xC4, 0x79, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0xF3, 0x4B, 0x92, 0x65, 0xC3, 0x31, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0xB5, 0x4F, 0x4D, 0x91, 0xD4, 0xE2, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x09, 0x41, 0x79, 0x1D, 0x4D, 0x0D, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x31, 0x18, 0xBA, 0xA0, 0xF2, 0x6E, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x5B, 0x4D, 0x4F, 0xAF, 0xC9, 0x8C, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0x99, 0x9C, 0x06, 0x68, 0xDE, 0xD8, 0x29 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x04, 0xE1, 0xB5, 0x9D, 0x00, 0xBC, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x95, 0x92, 0x8D, 0x72, 0xD3, 0x37, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x4B, 0x27, 0xA2, 0xE8, 0xA4, 0x26, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x45, 0x9C, 0xA9, 0xCB, 0x9F, 0xBA, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x7E, 0x1B, 0x64, 0xF4, 0xE8, 0xA5, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x20, 0xA9, 0xCA, 0xF3, 0x89, 0xE5, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0xED, 0xFC, 0xAB, 0xD9, 0x0A, 0xB9, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x6F, 0x46, 0x7C, 0xCD, 0x78, 0xFF, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0xAB, 0x71, 0x5A, 0x94, 0xAB, 0x20, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x2E, 0xEE, 0x87, 0x57, 0x1F, 0xAD, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x4C, 0x3D, 0xFB, 0x7E, 0xA1, 0x8B, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0xCF, 0x07, 0x86, 0xBA, 0x53, 0x37, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x26, 0xB2, 0xB9, 0xE2, 0x91, 0xE3, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0xC9, 0x54, 0x84, 0x08, 0x3D, 0x0B, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xA8, 0x77, 0x2F, 0x64, 0x45, 0x99, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x96, 0x16, 0x1F, 0xDB, 0x96, 0x28, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x2B, 0x8D, 0xFF, 0xA2, 0x4F, 0x55, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0xE6, 0x48, 0xBD, 0x99, 0x3D, 0x12, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x84, 0x59, 0xDA, 0xB9, 0xB6, 0x66, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x78, 0x41, 0x92, 0xDF, 0xF4, 0x3F, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x86, 0x6F, 0x4F, 0xBF, 0x67, 0xDF, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x2B, 0x1E, 0x5F, 0x00, 0xEA, 0xF6, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xB9, 0x6A, 0x89, 0xD8, 0xC0, 0xD7, 0xA7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x9A, 0x32, 0x23, 0xA0, 0x02, 0x91, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x7F, 0x6A, 0x15, 0x64, 0x6A, 0x8B, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x57, 0x82, 0x58, 0xA9, 0x56, 0xB5, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x50, 0x92, 0x60, 0xCC, 0x81, 0x24, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0x3D, 0xAD, 0xDA, 0xD9, 0x51, 0x3E, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0xFE, 0x8F, 0xB0, 0x0B, 0xDE, 0x2E, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0xD2, 0xBE, 0xEF, 0xAC, 0x76, 0x71, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0xE8, 0x72, 0x0B, 0xAC, 0xFE, 0xCA, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0xC7, 0xFC, 0xE3, 0x3C, 0x7C, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x04, 0xA7, 0xB9, 0x9B, 0x93, 0xC0, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x48, 0x4B, 0x8E, 0x32, 0xC5, 0xF0, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x42, 0x07, 0xC1, 0xF2, 0xF1, 0x72, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x37, 0x54, 0x9C, 0x88, 0xD2, 0x62, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x19, 0x8A, 0x89, 0x58, 0xA2, 0x0F, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0xCC, 0x4C, 0x97, 0x30, 0x66, 0x34, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x6A, 0x1E, 0x1F, 0xDB, 0xC9, 0x5E, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x4D, 0x49, 0xFF, 0x9B, 0x9C, 0xAC, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0xE4, 0x4B, 0xF2, 0xD4, 0x1A, 0xD2, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xDA, 0xE8, 0x61, 0x9F, 0xC8, 0x49, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xCB, 0xF2, 0x2D, 0x85, 0xF6, 0x8D, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xC5, 0xCD, 0x2C, 0x79, 0xC6, 0x0E, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x1D, 0x55, 0x0F, 0xF8, 0x22, 0x9F, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x56, 0xBA, 0xE7, 0x57, 0x32, 0xEC, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x9A, 0xC6, 0x4C, 0x09, 0xC4, 0x52, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x1E, 0x6F, 0xF4, 0x7D, 0x27, 0xDD, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x11, 0x16, 0xEC, 0x79, 0x83, 0xAD, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x4E, 0x92, 0x1F, 0x19, 0x7D, 0x65, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0xFF, 0x78, 0x15, 0x45, 0x63, 0x32, 0xE4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x91, 0xD0, 0x78, 0x58, 0xDA, 0x50, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0xDE, 0x40, 0xF6, 0x41, 0xB4, 0x3B, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x8D, 0xE0, 0xE1, 0xA9, 0xF0, 0x35, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xD4, 0xBA, 0x7B, 0xCC, 0x1B, 0x3A, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x5A, 0x2E, 0x74, 0x47, 0x14, 0xC3, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0xF0, 0x8B, 0x06, 0x15, 0x8E, 0x0E, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0xD2, 0xEB, 0x97, 0x50, 0x7D, 0x31, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x93, 0x4C, 0xDB, 0x97, 0x79, 0x44, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0xA2, 0xA0, 0x0B, 0xC8, 0x3A, 0x8A, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0x50, 0x92, 0x9E, 0x24, 0x1F, 0xCB, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x16, 0xC9, 0xC5, 0x3D, 0x5A, 0xAF, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0xE3, 0x97, 0xE4, 0xA8, 0x50, 0xF6, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x57, 0x97, 0x42, 0x78, 0x92, 0x49, 0x0D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0xEB, 0x62, 0x24, 0xFB, 0x8F, 0x32, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x0C, 0x36, 0x6E, 0x8F, 0xE8, 0xE8, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0xD3, 0x7C, 0xC7, 0x8D, 0x3F, 0x5C, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x64, 0x6A, 0x73, 0x10, 0x79, 0xB8, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xF9, 0xEF, 0xA5, 0x20, 0x4A, 0x5C, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xF3, 0xF4, 0x49, 0x5B, 0x73, 0xAA, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0xF2, 0xEA, 0x0F, 0x00, 0xAD, 0x53, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0xB8, 0x66, 0xED, 0xC4, 0x2B, 0x4C, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x2F, 0xC1, 0x9A, 0x37, 0xD2, 0x7F, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0xA7, 0x81, 0x38, 0x64, 0xC9, 0x37, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x3B, 0x6C, 0x9F, 0x5B, 0xD9, 0x8B, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x14, 0xD9, 0x08, 0xD8, 0xD2, 0x7E, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x71, 0xE6, 0x3D, 0xD1, 0xB0, 0xE7, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x81, 0x23, 0xEC, 0x2D, 0x42, 0x45, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0x5B, 0x44, 0x6B, 0x89, 0x03, 0x67, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x27, 0xAE, 0x80, 0x5A, 0x33, 0xBE, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0xB6, 0x64, 0x1A, 0xDF, 0xD3, 0x85, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0x8C, 0x22, 0xBA, 0xD0, 0xBD, 0xCC, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x3C, 0x01, 0x3A, 0xFF, 0x9D, 0xC7, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0xC7, 0x64, 0xB4, 0x59, 0x4E, 0x9F, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x34, 0x0A, 0x41, 0x94, 0xA8, 0xF2, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xD4, 0xE4, 0xF0, 0x97, 0x45, 0x6D, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0x1F, 0x4D, 0x6D, 0xFE, 0xA0, 0xC4, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x28, 0x5C, 0x40, 0xBB, 0x65, 0xD4, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0xA8, 0x87, 0x35, 0x20, 0x3A, 0x89, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xFD, 0x4F, 0xAB, 0x2D, 0xD1, 0xD0, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xE8, 0x00, 0xFC, 0x69, 0x52, 0xF8, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x9A, 0x99, 0xE1, 0xDC, 0x9C, 0x3F, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0x08, 0x98, 0xD9, 0xCA, 0x73, 0xD5, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x2C, 0xE0, 0xA7, 0x3E, 0x91, 0xD7, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x04, 0xB0, 0x54, 0x09, 0xF4, 0x72, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xEE, 0x28, 0xCC, 0xE8, 0x50, 0x78, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x91, 0x03, 0x76, 0xDB, 0x68, 0x24, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0xE0, 0x56, 0xB2, 0x5D, 0x12, 0xD3, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x42, 0x59, 0x8B, 0xDF, 0x67, 0xB5, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0xCC, 0xE5, 0x31, 0x53, 0x7A, 0x46, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_16_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x8D, 0x59, 0xB5, 0x1B, 0x0F, 0xF4, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x2F, 0xD1, 0x2C, 0xE0, 0xD8, 0x04, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0xD7, 0xBA, 0xB0, 0xA3, 0x7E, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x08, 0x51, 0x56, 0xA6, 0x76, 0x67, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0x17, 0x63, 0xFE, 0x56, 0xD0, 0xD9, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0xF6, 0xC3, 0x14, 0x47, 0xC5, 0xA7, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x4C, 0x80, 0xF6, 0xA2, 0x57, 0xA7, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xB3, 0x7B, 0xF8, 0x2F, 0xE1, 0x3E, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_16_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0xF4, 0xF9, 0x6B, 0x7B, 0x90, 0xDF, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x82, 0xEF, 0x62, 0xA1, 0x4C, 0x53, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x99, 0x76, 0x01, 0xBA, 0x8D, 0x0F, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xF4, 0x58, 0x73, 0x56, 0xFE, 0xDD, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xCE, 0xF9, 0xE8, 0xA1, 0x34, 0xC3, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x5F, 0xDC, 0x6A, 0x3D, 0xD8, 0x7F, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0xF4, 0x51, 0xB8, 0xB8, 0xC1, 0xD7, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x7D, 0x58, 0xD1, 0xD4, 0x1B, 0x4D, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_17_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x95, 0xDF, 0x00, 0xD8, 0x21, 0xDE, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x47, 0x3C, 0xC3, 0xB2, 0x01, 0x53, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x17, 0x43, 0x23, 0xBD, 0xCA, 0x71, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0xBA, 0x0F, 0x4F, 0xDC, 0x41, 0x54, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x39, 0x26, 0x70, 0x53, 0x32, 0x18, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x46, 0x07, 0x97, 0x3A, 0x57, 0xE0, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x92, 0x4F, 0xCE, 0xDF, 0x25, 0x80, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x6F, 0x9A, 0x03, 0x05, 0x4B, 0xD1, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_17_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0x01, 0x72, 0x30, 0x90, 0x17, 0x51, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xFB, 0x41, 0x65, 0x5C, 0xB4, 0x2D, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xCD, 0xCD, 0xAA, 0x41, 0xCC, 0xBB, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0xCE, 0x08, 0x0A, 0x63, 0xE9, 0xA2, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xA8, 0x21, 0x7F, 0x7A, 0x5B, 0x9B, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x6B, 0x89, 0x44, 0x0A, 0x7F, 0x85, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0xDE, 0x7C, 0x19, 0x5C, 0x65, 0x26, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0xAC, 0x62, 0x29, 0x4A, 0xF1, 0xD0, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_18_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x00, 0x40, 0x87, 0xEB, 0xA9, 0x58, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0x51, 0x0B, 0xFF, 0x56, 0x35, 0x51, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0xAC, 0x08, 0x94, 0x71, 0xDA, 0xEC, 0x99 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x4D, 0xC5, 0x7B, 0x31, 0x8B, 0x8D, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x05, 0xF1, 0x3E, 0x9E, 0x8F, 0x17, 0x8F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x9C, 0x4B, 0x62, 0x94, 0xAD, 0x49, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xC9, 0xC6, 0x8F, 0xFD, 0x33, 0x44, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x96, 0x17, 0x7F, 0x42, 0xBE, 0xF7, 0x0D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_18_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0x29, 0x39, 0x13, 0x08, 0x8D, 0x91, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0x79, 0xF9, 0x2F, 0xA9, 0x0A, 0xCF, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x87, 0x7A, 0xA3, 0x19, 0xAB, 0x55, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x0B, 0x01, 0xC5, 0x56, 0x19, 0x9D, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0xDE, 0x82, 0x3B, 0xEA, 0xD3, 0x0B, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x6B, 0xC7, 0xF3, 0x0F, 0x82, 0x87, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x2E, 0x23, 0xF2, 0x39, 0x9D, 0x49, 0x70 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x31, 0xDE, 0xAF, 0x7A, 0xEE, 0xB0, 0xDA, 0x70 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_19_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x4E, 0x2A, 0x50, 0xFD, 0x8E, 0xC0, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0x0F, 0x7C, 0x76, 0x63, 0xD8, 0x89, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x2D, 0xB9, 0x4E, 0xF4, 0xEE, 0x85, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x95, 0x5C, 0x96, 0x5D, 0xAA, 0x59, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0xDB, 0xD2, 0x68, 0x8E, 0x5A, 0x94, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x02, 0xBF, 0x77, 0x9F, 0xB9, 0x4C, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0xDC, 0xC0, 0xCF, 0x81, 0x1E, 0xC4, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0xCC, 0x37, 0x86, 0xDC, 0xE2, 0x64, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_19_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x30, 0xB1, 0x59, 0x20, 0x9D, 0x98, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x0C, 0x9D, 0xF8, 0x20, 0xDC, 0x90, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0xA0, 0xF4, 0xE7, 0x3E, 0x9C, 0x9E, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x25, 0xA2, 0xB0, 0x54, 0xCD, 0x2E, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xD9, 0x42, 0xB0, 0x80, 0xB0, 0xA3, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0xFE, 0x9D, 0x8D, 0x40, 0xFF, 0x27, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x9D, 0xA6, 0x88, 0x3A, 0x8B, 0x6F, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x39, 0xEE, 0x1F, 0x3F, 0xB1, 0x4F, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_20_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xD7, 0x9E, 0xFF, 0xD2, 0x35, 0x67, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x4F, 0x15, 0x5D, 0xE3, 0xE8, 0x53, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0xF7, 0x24, 0x98, 0xA2, 0xCB, 0x11, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x2E, 0x25, 0xE1, 0x94, 0xC5, 0xA3, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x82, 0x6E, 0xBA, 0xE7, 0x43, 0x25, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0x65, 0xB4, 0x49, 0x73, 0x18, 0x35, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0x5B, 0xBC, 0x62, 0x86, 0x4C, 0xC1, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0xF2, 0x95, 0xA2, 0xBB, 0xA2, 0x35, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_20_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x59, 0x62, 0xB0, 0x4B, 0x1E, 0xB4, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x55, 0xCE, 0xB0, 0x69, 0xBA, 0x63, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0x69, 0x86, 0xDB, 0x34, 0x7D, 0x68, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x06, 0xCA, 0x55, 0x44, 0x36, 0x2B, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0xD4, 0xC4, 0x3D, 0xCD, 0x9E, 0x69, 0xA4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x44, 0xE4, 0xBF, 0x31, 0xE6, 0x40, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x4F, 0xFA, 0x75, 0xE3, 0xFB, 0x97, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xC0, 0xBD, 0x1C, 0x48, 0xB0, 0x26, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_21_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x7B, 0x32, 0xFA, 0xF2, 0x6D, 0x84, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x21, 0x03, 0x1D, 0x0D, 0x22, 0x55, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0xF9, 0x42, 0x03, 0x9C, 0xC2, 0xCB, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0xA1, 0x96, 0xD9, 0x9D, 0x11, 0x6F, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x40, 0x57, 0xEB, 0x40, 0x2D, 0xC0, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x96, 0xBB, 0x4F, 0x2F, 0x23, 0xA8, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x29, 0x85, 0x21, 0xA5, 0x50, 0x62, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x7D, 0x92, 0xCF, 0x87, 0x0C, 0x22, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_21_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x0E, 0xA5, 0x32, 0x5B, 0xDF, 0x9C, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x96, 0x37, 0x2C, 0x88, 0x35, 0x30, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0xB4, 0x69, 0xFF, 0xEB, 0xC6, 0x94, 0x08 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x55, 0x60, 0xAD, 0xAA, 0x58, 0x14, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0xFF, 0xF2, 0xB2, 0xD5, 0xA7, 0xD9, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0xAE, 0x54, 0xD2, 0x60, 0x31, 0xF3, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x92, 0x83, 0xE3, 0xF1, 0x42, 0x83, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0xD2, 0xC8, 0xB7, 0x76, 0x45, 0x7F, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_22_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x11, 0xA4, 0xFB, 0x7A, 0x01, 0xBC, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x27, 0x73, 0x8D, 0x02, 0x91, 0x27, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x62, 0xF6, 0xDD, 0x6B, 0xFA, 0x5B, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0xCA, 0xA2, 0x44, 0x2C, 0xF0, 0x28, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0xF1, 0x7A, 0xA2, 0x42, 0x4C, 0x50, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0x83, 0x3E, 0x50, 0xAB, 0x9C, 0xF7, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0xED, 0x78, 0xCB, 0x76, 0x69, 0xDA, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x01, 0x1E, 0x43, 0x27, 0x47, 0x6E, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_22_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x4F, 0x54, 0xB9, 0x3E, 0xBD, 0xD5, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x40, 0x69, 0x7F, 0x74, 0x9D, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x06, 0x6F, 0x67, 0x68, 0x2B, 0x4D, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x65, 0x41, 0xFC, 0x7C, 0x1E, 0xE8, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x79, 0x37, 0xAF, 0xFD, 0xD2, 0xDA, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0xA8, 0x69, 0x56, 0x62, 0xA4, 0xE4, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x71, 0x73, 0x21, 0x8A, 0x17, 0x81, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0x55, 0x8F, 0x7B, 0xB8, 0xAF, 0xF7, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_23_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0xD1, 0xBD, 0xBE, 0x8C, 0xBC, 0x60, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0xA6, 0x57, 0x8C, 0xAE, 0x5C, 0x19, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0x43, 0xE4, 0xD9, 0xD8, 0x7B, 0xE7, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0xB9, 0xE4, 0x85, 0x7C, 0x2E, 0xFC, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x2E, 0x01, 0x2A, 0x6D, 0x56, 0xBE, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x0C, 0x25, 0x9B, 0xAE, 0x86, 0x37, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x22, 0xB3, 0xCB, 0x99, 0x66, 0xB7, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0xF7, 0x90, 0xF0, 0x1B, 0x09, 0x27, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_23_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x16, 0x08, 0xEF, 0x39, 0x64, 0x49, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xA0, 0xE3, 0x97, 0xA9, 0x07, 0x54, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xFF, 0xE2, 0x00, 0x07, 0x21, 0x88, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xFD, 0x59, 0x53, 0x05, 0x6C, 0x42, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0xF7, 0x39, 0x5C, 0x82, 0x36, 0xE8, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2E, 0x83, 0xA8, 0xE2, 0xA8, 0x43, 0x07, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xAF, 0x2B, 0x79, 0xED, 0xD8, 0x39, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x20, 0x91, 0x7A, 0xC4, 0x07, 0xEF, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_24_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x10, 0x2F, 0xAA, 0x0C, 0x94, 0x0E, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x81, 0x87, 0x41, 0x23, 0xEB, 0x55, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x53, 0xCC, 0x79, 0xB6, 0xEB, 0x6C, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x77, 0x73, 0x9D, 0xFC, 0x64, 0x6F, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x40, 0xE3, 0x6D, 0x1C, 0x16, 0x71, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0xF4, 0x1B, 0xFF, 0x1C, 0x2F, 0xA5, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x0E, 0x0B, 0x11, 0xF4, 0x8D, 0x93, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0xC5, 0x64, 0x6F, 0x24, 0x19, 0xF2, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_24_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0xB3, 0xAF, 0xA5, 0x0E, 0x4F, 0x5E, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0x77, 0xCA, 0xF2, 0x6D, 0xC5, 0xF6, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0x18, 0x8E, 0x33, 0x68, 0x6C, 0xE8, 0xE0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x8B, 0x80, 0x90, 0x19, 0x7F, 0x90, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x80, 0x6B, 0x68, 0xE2, 0x7D, 0xD4, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xC1, 0x67, 0xB3, 0x72, 0xCB, 0xBF, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0xD5, 0xD3, 0x1D, 0x14, 0x58, 0x0A, 0x80 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0x7A, 0x65, 0x98, 0xB3, 0x07, 0x4B, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_25_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x87, 0x0F, 0x5F, 0xCF, 0xA2, 0x01, 0x08 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0xC9, 0xC8, 0x6E, 0x35, 0x87, 0xA5, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x3E, 0x91, 0xA0, 0xAB, 0x24, 0x1E, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xBC, 0x02, 0x35, 0x70, 0xC1, 0x5F, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x59, 0xA0, 0x50, 0x04, 0x80, 0x52, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x56, 0x6E, 0x42, 0x8F, 0x8C, 0x91, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xA2, 0xCB, 0xA5, 0xDE, 0x14, 0x24, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0xCB, 0x74, 0x28, 0xE6, 0xA7, 0xE7, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_25_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0x73, 0xA8, 0x8F, 0x9E, 0x0E, 0x63, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x1B, 0x77, 0xC7, 0xC1, 0x38, 0xF9, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x3C, 0xCF, 0xA8, 0x7A, 0xD7, 0xF3, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x5F, 0x9A, 0xC9, 0xAD, 0xE9, 0x1A, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0x2B, 0x5E, 0xD5, 0x81, 0x95, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x88, 0x75, 0x29, 0x1F, 0xC7, 0xC7, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xA9, 0x5A, 0x4D, 0x63, 0x95, 0xF9, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0xCD, 0x04, 0x8F, 0xCD, 0x91, 0xDE, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_26_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0xD4, 0xFD, 0x25, 0x11, 0x99, 0x6E, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x83, 0x01, 0x3D, 0xFB, 0x56, 0xA5, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x3A, 0xDC, 0x74, 0xC2, 0xD7, 0xCF, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0xBD, 0xF1, 0xDD, 0xA3, 0x07, 0x03, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0xBE, 0xE9, 0x2E, 0x58, 0x84, 0x66, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x20, 0x78, 0x37, 0x79, 0x0B, 0xA6, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0xF2, 0xAC, 0x65, 0xC8, 0xC9, 0x2F, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x93, 0xE5, 0x0D, 0x0C, 0xC6, 0xB8, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_26_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0xAD, 0x5C, 0x19, 0x12, 0x61, 0x0E, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0x4F, 0x0B, 0x1F, 0x49, 0x7E, 0xCD, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x2E, 0x30, 0x61, 0xDB, 0x08, 0x68, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x78, 0xAF, 0xB3, 0x08, 0xC1, 0x69, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x5F, 0x5D, 0xC1, 0x57, 0x6F, 0xD8, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0xD3, 0x6A, 0xF7, 0xFD, 0x86, 0xE5, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x63, 0xBD, 0x70, 0x7B, 0x47, 0xE8, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0x62, 0xC8, 0x7E, 0x9D, 0x11, 0x2B, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_27_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0x84, 0xFD, 0xD5, 0x9A, 0x56, 0x7F, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0xBB, 0xA4, 0x6F, 0x12, 0x6E, 0x4D, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x08, 0xA1, 0x82, 0x9C, 0x62, 0x74, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x22, 0x05, 0x1D, 0x15, 0x35, 0x79 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x88, 0xCF, 0x5C, 0x05, 0x78, 0xFB, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x6B, 0x2F, 0x79, 0x09, 0x73, 0x67, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xA0, 0x80, 0xD8, 0xE8, 0xEC, 0xFB, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xE7, 0x0B, 0xB7, 0x81, 0x48, 0x7B, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_27_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x53, 0xA9, 0xED, 0x61, 0x92, 0xD7, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x49, 0xD9, 0x5D, 0x9B, 0x4E, 0x89, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x12, 0xEB, 0x9A, 0xC9, 0xCB, 0xC1, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0xDC, 0x95, 0x16, 0xFE, 0x29, 0x70, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x33, 0xB1, 0xD6, 0x78, 0xB9, 0xE2, 0x36 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xCE, 0x88, 0xC3, 0xFD, 0x7A, 0x6B, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x1E, 0x50, 0x1E, 0xAF, 0xB1, 0x25, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0xE7, 0xD7, 0xD5, 0xBD, 0x7A, 0x12, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x31, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_28_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0xAA, 0xA2, 0x80, 0x5D, 0x8F, 0xCD, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0x39, 0x79, 0x64, 0xA1, 0x67, 0x3C, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xC7, 0x49, 0xFF, 0x7F, 0xAC, 0xAB, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x54, 0x3E, 0x83, 0xF0, 0x3D, 0xBC, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x92, 0x4A, 0x38, 0x42, 0x8A, 0xAB, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x0B, 0x4F, 0xEE, 0x9E, 0x92, 0xA5, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0xDD, 0x19, 0x96, 0xF2, 0xF0, 0x6B, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xFC, 0xDD, 0xB2, 0x8A, 0xE5, 0x4C, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_28_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x06, 0x49, 0xAC, 0x99, 0x7E, 0xF8, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0xC8, 0x01, 0x51, 0xEA, 0xF6, 0x52, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x89, 0x66, 0x2B, 0x1F, 0x9B, 0x2A, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x0F, 0x95, 0x07, 0x2B, 0x6C, 0x6E, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0xC3, 0xB4, 0xBB, 0x91, 0x1F, 0xA3, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x6E, 0x54, 0x28, 0x7B, 0x9C, 0x79, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0x45, 0xFF, 0xA6, 0xDA, 0xA2, 0x83, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0xDE, 0x8F, 0x17, 0x37, 0x82, 0xCB, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_29_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x94, 0x3F, 0x26, 0xC9, 0x1D, 0xD9, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x97, 0x28, 0x20, 0xCD, 0xC1, 0xF3, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0xC9, 0xB5, 0x60, 0x9B, 0x1E, 0xDC, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0xB9, 0x5B, 0x7D, 0xA0, 0xB2, 0x8C, 0xF0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0xD1, 0x42, 0xE6, 0x39, 0x33, 0x6D, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xC0, 0xFC, 0xD2, 0x14, 0x5D, 0x3E, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x78, 0x4A, 0x3E, 0x40, 0x16, 0x93, 0x15, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x24, 0xC1, 0x27, 0x27, 0xE5, 0x4B, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_29_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x50, 0xD8, 0xBC, 0xC1, 0x46, 0x22, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x0E, 0x60, 0xA1, 0xB3, 0x50, 0xD4, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0xB1, 0x26, 0xB6, 0x6D, 0x47, 0x5A, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0xAC, 0x11, 0x35, 0x3E, 0xB9, 0xF4, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x97, 0xFA, 0xBB, 0x6B, 0x39, 0x13, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x34, 0x12, 0x75, 0x8E, 0x9B, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x9E, 0xCD, 0x29, 0xB6, 0xEF, 0x8D, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0xAC, 0xE9, 0x25, 0x27, 0xBB, 0x78, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_30_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x7A, 0xA8, 0xD3, 0xE3, 0x66, 0xE5, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x4C, 0xC4, 0x2C, 0x76, 0x81, 0x50, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0x71, 0x08, 0xB8, 0x52, 0x7C, 0xAF, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x59, 0x24, 0xDD, 0xFB, 0x2F, 0xD0, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xCD, 0x56, 0xE9, 0xAC, 0x91, 0xE6, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x64, 0x20, 0xC6, 0x9F, 0xE4, 0xEF, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x2C, 0x8F, 0x8C, 0x97, 0xF6, 0x22, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xF4, 0x88, 0xAA, 0xA8, 0xD7, 0xA5, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_30_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x6C, 0xAE, 0x83, 0xB1, 0x55, 0x55, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x67, 0x84, 0x47, 0x7C, 0x83, 0x5C, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x10, 0x4D, 0xDD, 0x30, 0x60, 0xB0, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xA7, 0x36, 0x76, 0x24, 0x32, 0x9F, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x42, 0x81, 0xFB, 0xA4, 0x2E, 0x13, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x94, 0x91, 0xFF, 0x99, 0xA0, 0x09, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x83, 0xA1, 0x76, 0xAF, 0x37, 0x5C, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xA8, 0x04, 0x86, 0xC4, 0xA9, 0x79, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_31_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x8C, 0xC2, 0x34, 0xFB, 0x83, 0x28, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x03, 0x7D, 0x5E, 0x9E, 0x0E, 0xB0, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA2, 0x02, 0x46, 0x7F, 0xB9, 0xAC, 0xBB, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0xED, 0x48, 0xC2, 0x96, 0x4D, 0x56, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xC5, 0xD1, 0xE6, 0x1C, 0x7E, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x2E, 0x18, 0x71, 0x2D, 0x7B, 0xD7, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x46, 0x9D, 0xDE, 0xAA, 0x78, 0x8E, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0xD7, 0x69, 0x2E, 0xE1, 0xD9, 0x48, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp521r1_T_31_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xFF, 0x9E, 0x09, 0x22, 0x22, 0xE6, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x14, 0x28, 0x13, 0x1B, 0x62, 0x12, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x7F, 0x67, 0x03, 0xB0, 0xC0, 0xF3, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0xC3, 0x0F, 0xFB, 0x25, 0x48, 0x3E, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x6E, 0x53, 0x98, 0x36, 0xB3, 0xD3, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x81, 0x54, 0x22, 0xA4, 0xCC, 0xC1, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xBA, 0xFC, 0xA9, 0xDF, 0x68, 0x86, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x92, 0x0E, 0xC3, 0xF2, 0x58, 0xE8, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp521r1_T[32] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp521r1_T_0_X, secp521r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_1_X, secp521r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_2_X, secp521r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_3_X, secp521r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_4_X, secp521r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_5_X, secp521r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_6_X, secp521r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_7_X, secp521r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_8_X, secp521r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_9_X, secp521r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_10_X, secp521r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_11_X, secp521r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_12_X, secp521r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_13_X, secp521r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_14_X, secp521r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_15_X, secp521r1_T_15_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_16_X, secp521r1_T_16_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_17_X, secp521r1_T_17_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_18_X, secp521r1_T_18_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_19_X, secp521r1_T_19_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_20_X, secp521r1_T_20_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_21_X, secp521r1_T_21_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_22_X, secp521r1_T_22_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_23_X, secp521r1_T_23_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_24_X, secp521r1_T_24_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_25_X, secp521r1_T_25_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_26_X, secp521r1_T_26_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_27_X, secp521r1_T_27_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_28_X, secp521r1_T_28_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_29_X, secp521r1_T_29_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_30_X, secp521r1_T_30_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp521r1_T_31_X, secp521r1_T_31_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp521r1_T NULL
|
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp192k1_p[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0xEE, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp192k1_a[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp192k1_b[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x03, 0x00 ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp192k1_gx[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp192k1_gy[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp192k1_n[] = {
|
2014-01-11 15:58:47 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xDE, 0x74, 0x6A, 0x46, 0x69, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xFC, 0xF2, 0x26, 0xFE, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
|
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0xE0, 0xEA, 0xB1, 0xD1, 0xA5, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xF4, 0xB7, 0x80, 0x02, 0x7D, 0xB0, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0xE9, 0x57, 0xC0, 0x0E, 0xF1, 0x4F, 0xDB ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x2F, 0x5E, 0xD9, 0x88, 0xAA, 0x82, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x86, 0xBE, 0x15, 0xD0, 0x63, 0x41, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x28, 0x56, 0x9C, 0x6D, 0x2F, 0x2F, 0x9B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x77, 0x3D, 0x0D, 0x85, 0x48, 0xA8, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x07, 0xDF, 0x1D, 0xB3, 0xB3, 0x01, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x86, 0xF6, 0xAF, 0x19, 0x2A, 0x88, 0x2E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x90, 0xB6, 0x2F, 0x48, 0x36, 0x4C, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x11, 0x14, 0xA6, 0xCB, 0xBA, 0x15, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0xB0, 0xF2, 0xD4, 0xC9, 0xDA, 0xBA, 0xD7 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0xC1, 0x9C, 0xE6, 0xBB, 0xFB, 0xCF, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x19, 0xAC, 0x5A, 0xC9, 0x8A, 0x1C, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0xF6, 0x76, 0x86, 0x89, 0x27, 0x8D, 0x28 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0xE0, 0x6F, 0x34, 0xBA, 0x5E, 0xD3, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0xDC, 0xA6, 0x87, 0xC9, 0x9D, 0xC0, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x11, 0x7E, 0xD6, 0xF7, 0x33, 0xFC, 0xE4 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x37, 0x3E, 0xC0, 0x7F, 0x62, 0xE7, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x3B, 0x69, 0x9D, 0x44, 0xBC, 0x82, 0x99 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x84, 0xB3, 0x5F, 0x2B, 0xA5, 0x9E, 0x2C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x95, 0xEB, 0x4C, 0x04, 0xB4, 0xF4, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0xAD, 0x4B, 0xD5, 0x9A, 0xEB, 0xC4, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xB1, 0xC5, 0x59, 0xE3, 0xD5, 0x16, 0x2A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0x2A, 0xCC, 0xAC, 0xD0, 0xEE, 0x50, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x83, 0xE0, 0x5B, 0x14, 0x44, 0x52, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x15, 0x2D, 0x78, 0xF6, 0x51, 0x32, 0xCF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x36, 0x9B, 0xDD, 0xF8, 0xDD, 0xEF, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0xB1, 0x6A, 0x2B, 0xAF, 0xEB, 0x2B, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x87, 0x7A, 0x66, 0x5D, 0x5B, 0xDF, 0x8F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x45, 0xE5, 0x81, 0x9B, 0xEB, 0x37, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x29, 0xE2, 0x20, 0x64, 0x23, 0x6B, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0x1D, 0x41, 0xE1, 0x9B, 0x61, 0x7B, 0xD9 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x57, 0xA3, 0x0A, 0x13, 0xE4, 0x59, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0x6E, 0x4A, 0x48, 0x84, 0x90, 0xAC, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0xB8, 0xF5, 0xF3, 0xDE, 0xA0, 0xA1, 0x1D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x32, 0x81, 0xA9, 0x91, 0x5A, 0x4E, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0xA8, 0x90, 0xBE, 0x0F, 0xEC, 0xC0, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x30, 0xD7, 0x08, 0xAE, 0xC4, 0x3A, 0xA5 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x55, 0xE3, 0x76, 0xB3, 0x64, 0x74, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x75, 0xD4, 0xDB, 0x98, 0xD7, 0x39, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0xEB, 0x8A, 0xAB, 0x16, 0xD9, 0xD4, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xBE, 0xF9, 0xC7, 0xC7, 0xBA, 0xF3, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x85, 0x59, 0xF3, 0x60, 0x41, 0x02, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x1C, 0x4A, 0xA4, 0xC7, 0xED, 0x66, 0xBC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x2E, 0x46, 0x52, 0x18, 0x87, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x35, 0x5A, 0x75, 0xAC, 0x4D, 0x75, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0x2F, 0xAC, 0xFC, 0xBC, 0xE6, 0x93, 0x5E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x4D, 0xC9, 0x18, 0xE9, 0x00, 0xEB, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x69, 0x72, 0x07, 0x5A, 0x59, 0xA8, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x65, 0x83, 0x20, 0x10, 0xF9, 0x69, 0x82 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0x56, 0x7F, 0x9F, 0xBF, 0x46, 0x0C, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0xCF, 0xF0, 0xDC, 0xDF, 0x2D, 0xE6, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0xF0, 0x72, 0x3A, 0x7A, 0x03, 0xE5, 0x22 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0xAA, 0x57, 0x13, 0x37, 0xA7, 0x2C, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0xAC, 0xA2, 0x23, 0xF9, 0x84, 0x60, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0xEB, 0x51, 0x70, 0x64, 0x78, 0xCA, 0x05 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0xCC, 0x30, 0x62, 0x93, 0x46, 0x13, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x26, 0xCC, 0x6C, 0x3D, 0x5C, 0xDA, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0xAA, 0xB8, 0x03, 0xA4, 0x1A, 0x00, 0x96 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x9D, 0xE6, 0xCC, 0x4E, 0x2E, 0xC2, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0xC3, 0x8A, 0xAE, 0x6F, 0x40, 0x05, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x8F, 0x4A, 0x4D, 0x35, 0xD3, 0x50, 0x9D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0xFD, 0x98, 0xAB, 0xC7, 0x03, 0xB4, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x40, 0xD2, 0x9F, 0xCA, 0xD0, 0x53, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x84, 0x00, 0x6F, 0xC8, 0xAD, 0xED, 0x8D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xD3, 0x57, 0xD7, 0xC3, 0x07, 0xBD, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0xBA, 0x47, 0x1D, 0x3D, 0xEF, 0x98, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xC0, 0x6C, 0x7F, 0x12, 0xEE, 0x9F, 0x67 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x02, 0xDA, 0x79, 0xAA, 0xC9, 0x27, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x79, 0xC7, 0x71, 0x84, 0xCB, 0xE5, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x37, 0x06, 0xBA, 0xB5, 0xD5, 0x18, 0x4C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x65, 0x72, 0x6C, 0xF2, 0x63, 0x27, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0xBC, 0x71, 0xDF, 0x75, 0xF8, 0x98, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x70, 0x9B, 0xDC, 0xE7, 0x18, 0x71, 0xFF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x5B, 0x9F, 0x00, 0x5A, 0xB6, 0x80, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xE0, 0xBB, 0xFC, 0x5E, 0x78, 0x9C, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x60, 0x03, 0x68, 0x83, 0x3D, 0x2E, 0x4C, 0xDD ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0x49, 0x23, 0xA8, 0xCB, 0x3B, 0x1A, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0x3D, 0xA7, 0x46, 0xCF, 0x75, 0xB6, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0xFD, 0x30, 0x01, 0xB6, 0xEF, 0xF9, 0xE8 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0xFA, 0xDA, 0xB8, 0x29, 0x42, 0xC9, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0xD7, 0xA0, 0xE6, 0x6B, 0x86, 0x61, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0xE9, 0xD3, 0x37, 0xD8, 0xE7, 0x35, 0xA9 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xC8, 0x8E, 0xB1, 0xCB, 0xB1, 0xB5, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xD7, 0x46, 0x7D, 0xAF, 0xE2, 0xDC, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x46, 0xE7, 0xD8, 0x76, 0x31, 0x90, 0x76 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0xD3, 0xF4, 0x74, 0xE1, 0x67, 0xD8, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x70, 0x3C, 0xC8, 0xAF, 0x5F, 0xF4, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x4E, 0xED, 0x5C, 0x43, 0xB3, 0x16, 0x35 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xAE, 0xD1, 0xDD, 0x31, 0x14, 0xD3, 0xF0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x14, 0x06, 0x13, 0x12, 0x1C, 0x81, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0xF9, 0x0C, 0x91, 0xF7, 0x67, 0x59, 0x63 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp192k1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x91, 0xE2, 0xF4, 0x9D, 0xEB, 0x88, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x82, 0x30, 0x9C, 0xAE, 0x18, 0x4D, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x79, 0xCF, 0x17, 0xA5, 0x1E, 0xE8, 0xC8 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp192k1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp192k1_T_0_X, secp192k1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_1_X, secp192k1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_2_X, secp192k1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_3_X, secp192k1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_4_X, secp192k1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_5_X, secp192k1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_6_X, secp192k1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_7_X, secp192k1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_8_X, secp192k1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_9_X, secp192k1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_10_X, secp192k1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_11_X, secp192k1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_12_X, secp192k1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_13_X, secp192k1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_14_X, secp192k1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp192k1_T_15_X, secp192k1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp192k1_T NULL
|
|
|
|
#endif
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
|
2014-01-11 15:58:47 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp224k1_p[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xE5, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_4( 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224k1_a[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224k1_b[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_2( 0x05, 0x00 ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224k1_gx[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_4( 0x33, 0x5B, 0x45, 0xA1 ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224k1_gy[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_4( 0xED, 0x9F, 0x08, 0x7E ),
|
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint secp224k1_n[] = {
|
2014-01-11 15:22:07 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0xB1, 0x9F, 0x76, 0x71, 0xA9, 0xF0, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x61, 0xEC, 0xD2, 0xE8, 0xDC, 0x01, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x00, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
|
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xA4, 0xB7, 0xB6, 0x0E, 0x65, 0x7E, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0x75, 0x70, 0xE4, 0xE9, 0x67, 0xA4, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x28, 0xFC, 0x30, 0xDF, 0x99, 0xF0, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x5B, 0x45, 0xA1, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x61, 0x6D, 0x55, 0xDB, 0x4B, 0xCA, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xBD, 0xB0, 0xC0, 0xF7, 0x19, 0xE3, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xFB, 0xCA, 0x82, 0x42, 0x34, 0xBA, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x9F, 0x08, 0x7E, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x6C, 0x22, 0x22, 0x40, 0x89, 0xAE, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x92, 0xE1, 0x87, 0x56, 0x35, 0xAF, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0xAF, 0x08, 0x35, 0x27, 0xEA, 0x04, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x53, 0xFD, 0xCF, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0xD0, 0x9F, 0x8D, 0xF3, 0x63, 0x54, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0xDB, 0x0F, 0x61, 0x54, 0x26, 0xD1, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x21, 0xF7, 0x1B, 0xB5, 0x1D, 0xF6, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x05, 0xDA, 0x8F, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x26, 0x73, 0xBC, 0xE4, 0x29, 0x62, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x95, 0x17, 0x8B, 0xC3, 0x9B, 0xAC, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0xDB, 0x77, 0xDF, 0xDD, 0x13, 0x04, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0xFC, 0x22, 0x93, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x65, 0xF1, 0x5A, 0x37, 0xEF, 0x79, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x01, 0x37, 0xAC, 0x9A, 0x5B, 0x51, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x75, 0x13, 0xA9, 0x4A, 0xAD, 0xFE, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x82, 0x6F, 0x66, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0x5E, 0xF0, 0x40, 0xC3, 0xA6, 0xE2, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x9A, 0x6F, 0xCF, 0x11, 0x26, 0x66, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0x73, 0xA8, 0xCF, 0x2B, 0x12, 0x36, 0x37 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xB3, 0x0A, 0x58, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x79, 0x00, 0x55, 0x04, 0x34, 0x90, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0x54, 0x1C, 0xC2, 0x45, 0x0C, 0x1B, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x19, 0xAB, 0xA8, 0xFC, 0x73, 0xDC, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0xFB, 0x93, 0xCE, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x75, 0xD0, 0x66, 0x95, 0x86, 0xCA, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xEA, 0x29, 0x16, 0x6A, 0x38, 0xDF, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xA2, 0x36, 0x2F, 0xDC, 0xBB, 0x5E, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x89, 0x59, 0x49, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0xA3, 0x99, 0x9D, 0xB8, 0x77, 0x9D, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0x93, 0x43, 0x47, 0xC6, 0x5C, 0xF9, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x00, 0x79, 0x42, 0x64, 0xB8, 0x25, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x54, 0xB4, 0x33, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x0C, 0x42, 0x90, 0x83, 0x0B, 0x31, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x2E, 0xAE, 0xC8, 0xC7, 0x5F, 0xD2, 0x70 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0xBC, 0xAD, 0x41, 0xE7, 0x32, 0x3A, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x97, 0x52, 0x83, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x13, 0x7A, 0xBD, 0xAE, 0x94, 0x60, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x9B, 0x95, 0xB4, 0x6E, 0x68, 0xB2, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x49, 0xBE, 0x51, 0xFE, 0x66, 0x15, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x37, 0xE4, 0xFE, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0x9B, 0xEE, 0x64, 0xC9, 0x1B, 0xBD, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x5F, 0x34, 0xA9, 0x0B, 0xB7, 0x25, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0x13, 0xB1, 0x38, 0xFB, 0x9D, 0x78, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0xE7, 0x1B, 0xFA, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xB3, 0xB7, 0x44, 0x92, 0x6B, 0x00, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x82, 0x44, 0x3E, 0x18, 0x1A, 0x58, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0xF8, 0xC0, 0xE4, 0xEE, 0xC1, 0xBF, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x32, 0x27, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x9A, 0x42, 0x62, 0x8B, 0x26, 0x54, 0x21 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x85, 0x74, 0xA0, 0x79, 0xA8, 0xEE, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x36, 0x60, 0xB3, 0x28, 0x4D, 0x55, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x27, 0x82, 0x29, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0xFC, 0x73, 0x77, 0xAF, 0x5C, 0xAC, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0xED, 0xE5, 0xF6, 0x1D, 0xA8, 0x67, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0xDE, 0x33, 0x1C, 0xF1, 0x80, 0x73, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xE2, 0xDE, 0x3C, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x3E, 0x6B, 0xFE, 0xF0, 0x04, 0x28, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0xB2, 0x14, 0x9D, 0x18, 0x11, 0x7D, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xC4, 0xD6, 0x2E, 0x6E, 0x57, 0x4D, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0x55, 0x1B, 0xDE, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xF7, 0x17, 0xBC, 0x45, 0xAB, 0x16, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xB0, 0xEF, 0x61, 0xE3, 0x20, 0x7C, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x85, 0x41, 0x4D, 0xF1, 0x7E, 0x4D, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xC2, 0x9B, 0x5E, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x2E, 0x49, 0x3D, 0x3E, 0x4B, 0xD3, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x2B, 0x9D, 0xD5, 0x27, 0xFA, 0xCA, 0xE0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0xB3, 0x6A, 0xE0, 0x79, 0x14, 0x28, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x1E, 0xDC, 0xF5, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x44, 0x56, 0xCD, 0xFC, 0x9F, 0x09, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x8C, 0x59, 0xA4, 0x64, 0x2A, 0x3A, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0xA0, 0xB5, 0x86, 0x4E, 0x69, 0xDA, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x8B, 0x11, 0x38, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x17, 0x16, 0x12, 0x17, 0xDC, 0x00, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0x76, 0x24, 0x6C, 0x97, 0x2C, 0xB5, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x71, 0xE3, 0xB0, 0xBB, 0x4E, 0x50, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0x48, 0x26, 0xD5, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x5F, 0x28, 0xF6, 0x01, 0x5A, 0x60, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x95, 0xFE, 0xD0, 0xAD, 0x15, 0xD4, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x5B, 0x7A, 0xFD, 0x80, 0xF7, 0x9F, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0xBC, 0x1B, 0xDF, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0xE6, 0xDF, 0x14, 0x29, 0xF4, 0xD4, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x12, 0xDD, 0xEC, 0x5B, 0x8A, 0x59, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x92, 0x3E, 0x35, 0x08, 0xE9, 0xCF, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0x35, 0x29, 0x97, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xDB, 0xD6, 0x6A, 0xC5, 0x43, 0xA4, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x33, 0x50, 0x61, 0x70, 0xA1, 0xE9, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x15, 0x6E, 0x5F, 0x01, 0x0C, 0x8C, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0xA1, 0x9A, 0x9D, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0xC6, 0xF7, 0xE2, 0x4A, 0xCD, 0x9B, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x4D, 0x5A, 0xB8, 0xE2, 0x6D, 0xA6, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x3F, 0xB6, 0x17, 0xE3, 0x2C, 0x6F, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xA4, 0x59, 0x51, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x4F, 0x7C, 0x49, 0xCD, 0x6E, 0xEB, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0xC9, 0x1F, 0xB7, 0x4D, 0x98, 0xC7, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4C, 0xFD, 0x98, 0x20, 0x95, 0xBB, 0x20, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0xF2, 0x73, 0x92, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0xEF, 0xFB, 0x30, 0xFA, 0x12, 0x1A, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0x4C, 0x24, 0xB4, 0x5B, 0xC9, 0x4C, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0xDD, 0x5E, 0x84, 0x95, 0x4D, 0x26, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0xFA, 0xF9, 0x3A, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0xA3, 0x2E, 0x7A, 0xDC, 0xA7, 0x53, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x9F, 0x81, 0x84, 0xB2, 0x0D, 0xFE, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x89, 0x1B, 0x77, 0x0C, 0x89, 0x71, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xFF, 0x7F, 0xB2, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0xE9, 0x2C, 0x79, 0xA6, 0x3C, 0xAD, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xE0, 0x23, 0x02, 0x86, 0x0F, 0x77, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x93, 0x6D, 0xE9, 0xF9, 0x3C, 0xBE, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0xE7, 0x24, 0x92, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x3C, 0x5B, 0x4B, 0x1B, 0x25, 0x37, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xE8, 0x38, 0x1B, 0xA1, 0x5A, 0x2E, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0x19, 0xFD, 0xF4, 0x78, 0x01, 0x6B, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0x69, 0x37, 0x4F, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0xE2, 0xBF, 0xD3, 0xEC, 0x95, 0x9C, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x7B, 0xFC, 0xD5, 0xD3, 0x25, 0x5E, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0x55, 0x09, 0xA2, 0x58, 0x6A, 0xC9, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0xCC, 0x3B, 0xD9, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp224k1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0x08, 0x65, 0x5E, 0xCB, 0xAB, 0x48, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0x79, 0x8B, 0xC0, 0x11, 0xC0, 0x69, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xE8, 0x8C, 0x4C, 0xC5, 0x28, 0xE4, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x1F, 0x34, 0x5C, 0x00, 0x00, 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp224k1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp224k1_T_0_X, secp224k1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_1_X, secp224k1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_2_X, secp224k1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_3_X, secp224k1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_4_X, secp224k1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_5_X, secp224k1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_6_X, secp224k1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_7_X, secp224k1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_8_X, secp224k1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_9_X, secp224k1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_10_X, secp224k1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_11_X, secp224k1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_12_X, secp224k1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_13_X, secp224k1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_14_X, secp224k1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp224k1_T_15_X, secp224k1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp224k1_T NULL
|
|
|
|
#endif
|
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
|
|
|
|
|
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint secp256k1_p[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xFC, 0xFF, 0xFF, 0xFE, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_a[] = {
|
|
|
|
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_b[] = {
|
|
|
|
BYTES_TO_T_UINT_2( 0x07, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_gx[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_gy[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_n[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x41, 0x36, 0xD0, 0x8C, 0x5E, 0xD2, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0xA0, 0x48, 0xAF, 0xE6, 0xDC, 0xAE, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF ),
|
|
|
|
};
|
|
|
|
|
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x17, 0xF8, 0x16, 0x5B, 0x81, 0xF2, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x28, 0xCE, 0x2D, 0xDB, 0xFC, 0x9B, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x0B, 0x87, 0xCE, 0x95, 0x62, 0xA0, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xBB, 0xDC, 0xF9, 0x7E, 0x66, 0xBE, 0x79 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0xD4, 0x10, 0xFB, 0x8F, 0xD0, 0x47, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x54, 0x85, 0xA6, 0x48, 0xB4, 0x17, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x08, 0x11, 0x0E, 0xFC, 0xFB, 0xA4, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0xC4, 0xA3, 0x26, 0x77, 0xDA, 0x3A, 0x48 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0xEE, 0xD7, 0x1E, 0x67, 0x86, 0x32, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0x73, 0xB1, 0xA9, 0xD5, 0xCC, 0x27, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x0E, 0x11, 0x01, 0x71, 0xFE, 0x92, 0x73 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x28, 0x63, 0x6D, 0x72, 0x09, 0xA6, 0xC0 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0x69, 0xDC, 0x3E, 0x2C, 0x75, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0xB7, 0x3F, 0x30, 0x26, 0x3C, 0xDF, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xBE, 0xB9, 0x5D, 0x0E, 0xE8, 0x5E, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0xC3, 0x05, 0xD6, 0xB7, 0xD5, 0x24, 0xFC ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0xCF, 0x7B, 0xDC, 0xCD, 0xC3, 0x39, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0xDA, 0xB9, 0xE5, 0x64, 0xA7, 0x47, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0x46, 0xA8, 0x61, 0xF6, 0x23, 0xEB, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xC1, 0xFF, 0xE4, 0x55, 0xD5, 0xC2, 0xBF ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xBE, 0xB9, 0x59, 0x24, 0x13, 0x4A, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x45, 0x12, 0xDE, 0xBA, 0x4F, 0xEF, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x08, 0xBF, 0xC1, 0x66, 0xAA, 0x0A, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0xFE, 0x30, 0x55, 0x31, 0x86, 0xA7, 0xB4 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0xBF, 0x18, 0x81, 0x67, 0x27, 0x42, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x05, 0x83, 0xA4, 0xDD, 0x57, 0xD3, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0x63, 0xAB, 0xE4, 0x90, 0x70, 0xD0, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x5D, 0xFD, 0xA0, 0xEF, 0xCF, 0x1C, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x80, 0xE4, 0xF6, 0x09, 0xBC, 0x57, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x9F, 0x6E, 0x88, 0x54, 0x6E, 0x51, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x5F, 0x85, 0xFB, 0x84, 0x3E, 0x4A, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x19, 0xF5, 0x55, 0xC9, 0x07, 0xD8, 0xCE ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0xB4, 0xC3, 0xD9, 0x5C, 0xA0, 0xD4, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x30, 0xAF, 0x59, 0x9B, 0xF8, 0x04, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0xA6, 0xFD, 0x66, 0x7B, 0xC3, 0x39, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE0, 0xBF, 0xF0, 0xC2, 0xE9, 0x71, 0xA4, 0x9E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0x2D, 0xB9, 0x88, 0x28, 0xF1, 0xBE, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0xF3, 0x1A, 0x0E, 0xB9, 0x01, 0x66, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0xA7, 0xA4, 0xF4, 0x05, 0xD0, 0xAA, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x39, 0x1E, 0x47, 0xE5, 0x68, 0xC8, 0xC0 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0xB9, 0xFC, 0xE0, 0x33, 0x8A, 0x7D, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x93, 0xA5, 0x53, 0x55, 0x16, 0xB4, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x5F, 0xEA, 0x9B, 0x29, 0x52, 0x71, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0xF0, 0x24, 0xB8, 0x7D, 0xB7, 0xA0, 0x9B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x00, 0x27, 0xB2, 0xDF, 0x73, 0xA2, 0xE0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x2E, 0x4D, 0x7C, 0xDE, 0x7A, 0x23, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x65, 0x60, 0xC7, 0x97, 0x1E, 0xA4, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x13, 0x5B, 0x77, 0x59, 0xCB, 0x36, 0xE1 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xBC, 0x9F, 0x9E, 0x2D, 0x53, 0x2A, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x5F, 0x64, 0x9F, 0x1A, 0x19, 0xE6, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x7B, 0x39, 0xD2, 0xDB, 0x85, 0x84, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0xC7, 0x0D, 0x58, 0x6E, 0x3F, 0x52, 0x15 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x68, 0x19, 0x0B, 0x68, 0xC9, 0x1E, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x4E, 0x21, 0x49, 0x3D, 0x55, 0xCC, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xF9, 0x25, 0x45, 0x54, 0x45, 0xB1, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xF7, 0xCD, 0x80, 0xA4, 0x04, 0x05 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x1E, 0x88, 0xC4, 0xAA, 0x18, 0x7E, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0xAC, 0xD9, 0xB2, 0xA1, 0xC0, 0x71, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0xA2, 0xF1, 0x15, 0xA6, 0x5F, 0x6C, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x5B, 0x05, 0xBC, 0xB7, 0xC6, 0x4E, 0x72 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x80, 0xF8, 0x5C, 0x20, 0x2A, 0xE1, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x48, 0x2E, 0x68, 0x82, 0x7F, 0xEB, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA2, 0x3B, 0x25, 0xDB, 0x32, 0x4D, 0x88, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0x6E, 0xA6, 0xB6, 0x6D, 0x62, 0x78, 0x22 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x4D, 0x3E, 0x86, 0x58, 0xC3, 0xEB, 0xBA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x89, 0x33, 0x18, 0x21, 0x1D, 0x9B, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x9D, 0xFF, 0xC3, 0x79, 0xC1, 0x88, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0xD4, 0x48, 0x53, 0xE8, 0xAD, 0x21, 0x16 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x7B, 0xDE, 0xCB, 0xD8, 0x39, 0x17, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0xF3, 0x03, 0xF2, 0x5C, 0xBC, 0xC8, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0xAE, 0x4C, 0xB0, 0x16, 0xA4, 0x93, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x8B, 0x6B, 0xDC, 0xD7, 0x9A, 0x3E, 0x7E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x2D, 0x7A, 0xD2, 0x59, 0x05, 0xA2, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x56, 0x09, 0x32, 0xF1, 0xE8, 0xE3, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0xCA, 0xE5, 0x2E, 0xF0, 0xFB, 0x18, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x85, 0xA9, 0x23, 0x15, 0x31, 0x1F, 0x0E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0xE5, 0xB1, 0x86, 0xB9, 0x6E, 0x8D, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x77, 0xFC, 0xC9, 0xA3, 0x3F, 0x89, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x6A, 0xDC, 0x25, 0xB0, 0xC7, 0x41, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x11, 0x6B, 0xA6, 0x11, 0x62, 0xD4, 0x2D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x7D, 0x34, 0xB3, 0x20, 0x7F, 0x37, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0xD4, 0x45, 0xE8, 0xC2, 0xE9, 0xC5, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x32, 0x3B, 0x25, 0x7E, 0x79, 0xAF, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0xE4, 0x54, 0x71, 0xBE, 0x35, 0x4E, 0xD0 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x94, 0xDD, 0x8F, 0xB5, 0xC2, 0xDD, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x49, 0xE9, 0x1C, 0x2F, 0x08, 0x49, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0xB6, 0x03, 0x88, 0x6F, 0xB8, 0x15, 0x67 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0xD3, 0x1C, 0xF3, 0xA5, 0xEB, 0x79, 0x01 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0xF9, 0x43, 0x88, 0x89, 0x0D, 0x06, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x2D, 0xF5, 0x98, 0x32, 0xF6, 0xB1, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0x73, 0x8F, 0x2B, 0x50, 0x27, 0x0A, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0xE3, 0xBD, 0x16, 0x05, 0xC8, 0x93, 0x12 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0x6A, 0xF7, 0xE3, 0x3D, 0xDE, 0x5F, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0xA3, 0x9C, 0x22, 0x3C, 0x33, 0x36, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0x24, 0x4C, 0x69, 0x45, 0x78, 0x14, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xF8, 0xD4, 0xBF, 0xB8, 0xC0, 0xA1, 0x25 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x88, 0xE1, 0x91, 0x03, 0xEB, 0xB3, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x11, 0xA1, 0xEF, 0x14, 0x0D, 0xC4, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0xD4, 0x0D, 0x1D, 0x96, 0x33, 0x5C, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x45, 0x2A, 0x1A, 0xE6, 0x57, 0x04, 0x9B ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0xB5, 0xA7, 0x80, 0xE9, 0x93, 0x97, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0xB9, 0x7C, 0xA0, 0xC9, 0x57, 0x26, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0xEF, 0x56, 0xDA, 0x66, 0xF6, 0x1B, 0x9A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x89, 0x6B, 0x91, 0xE0, 0xA9, 0x65, 0x2B ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x98, 0x96, 0x9B, 0x06, 0x7D, 0x5E, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0xFA, 0xC1, 0x5F, 0x19, 0x37, 0x94, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0xBE, 0x6B, 0x1A, 0x05, 0xE4, 0xBF, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0xCD, 0x5D, 0x35, 0xB4, 0x51, 0xF7, 0x64 ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0xEF, 0x96, 0xDB, 0xF2, 0x61, 0x63, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x04, 0x88, 0xC9, 0x9F, 0x1B, 0x94, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x30, 0x79, 0x7E, 0x24, 0xE7, 0x5F, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0xB8, 0x90, 0xB7, 0x94, 0x25, 0xBB, 0x0F ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x79, 0xEA, 0xAD, 0xC0, 0x6D, 0x18, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0xA4, 0x58, 0x2A, 0x8D, 0x95, 0xB3, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xC4, 0xC2, 0x12, 0x0D, 0x79, 0xE2, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x6F, 0xBE, 0x97, 0x4D, 0xA4, 0x20, 0x07 ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x31, 0x71, 0xC6, 0xA6, 0x91, 0xEB, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x9B, 0xA8, 0x4A, 0xE7, 0x77, 0xE1, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0x06, 0xD3, 0x3D, 0x94, 0x30, 0xEF, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0xDF, 0xCA, 0xFA, 0xF5, 0x28, 0xF8, 0xC9 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint secp256k1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0xE1, 0x32, 0xFD, 0x3E, 0x81, 0xF8, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0xF2, 0x4B, 0x1D, 0x19, 0xC9, 0x0F, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xB1, 0x8A, 0x22, 0x8B, 0x05, 0x6B, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0x21, 0xEF, 0x30, 0xEC, 0x09, 0x2A, 0x89 ),
|
2014-01-10 18:17:18 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
static const mbedtls_mpi_uint secp256k1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x84, 0x4A, 0x46, 0x07, 0x6C, 0x3C, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x18, 0x3A, 0xF4, 0xCC, 0xF5, 0xB2, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0x8F, 0xCD, 0x0A, 0x9C, 0xF4, 0xBD, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x89, 0x7F, 0x8A, 0xB1, 0x52, 0x3A, 0xAB ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point secp256k1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(secp256k1_T_0_X, secp256k1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_1_X, secp256k1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_2_X, secp256k1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_3_X, secp256k1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_4_X, secp256k1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_5_X, secp256k1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_6_X, secp256k1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_7_X, secp256k1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_8_X, secp256k1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_9_X, secp256k1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_10_X, secp256k1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_11_X, secp256k1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_12_X, secp256k1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_13_X, secp256k1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_14_X, secp256k1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(secp256k1_T_15_X, secp256k1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define secp256k1_T NULL
|
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
|
2014-01-10 18:17:18 +01:00
|
|
|
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x53, 0x6E, 0x1F, 0x1D, 0x48, 0x13, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x20, 0x26, 0xD5, 0x23, 0xF6, 0x3B, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_a[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0xB5, 0x30, 0xF3, 0x44, 0x4B, 0x4A, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x5C, 0xDC, 0x26, 0xC1, 0x55, 0x80, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0xFF, 0x7A, 0x41, 0x30, 0x75, 0xF6, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x30, 0x2C, 0xFC, 0x75, 0x09, 0x5A, 0x7D ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x07, 0x8C, 0xFF, 0x18, 0xDC, 0xCC, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xE1, 0xF7, 0x5C, 0x29, 0x16, 0x84, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x7C, 0xD7, 0xBB, 0xD9, 0xB5, 0x30, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0x4B, 0x4A, 0xE9, 0x6C, 0x5C, 0xDC, 0x26 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x56, 0x48, 0x97, 0x82, 0x0E, 0x1E, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0xA6, 0x61, 0xB5, 0xA3, 0x7A, 0x39, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x8D, 0x83, 0x9D, 0x90, 0x0A, 0x66, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xA9, 0xEE, 0xA1, 0xDB, 0x57, 0xFB, 0xA9 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
|
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0x32, 0xCE, 0x9A, 0xBD, 0x53, 0x44, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x23, 0xBD, 0xE3, 0xE1, 0x27, 0xDE, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xB7, 0x81, 0xFC, 0x2F, 0x48, 0x4B, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x57, 0x7E, 0xCB, 0xB9, 0xAE, 0xD2, 0x8B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x69, 0x04, 0x2F, 0xC7, 0x54, 0x1D, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x8E, 0xED, 0x2D, 0x13, 0x45, 0x77, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x1D, 0x61, 0x14, 0x1A, 0x46, 0xF8, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xC4, 0xDA, 0xC3, 0x35, 0xF8, 0x7E, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0xA2, 0xED, 0x52, 0xC9, 0x8C, 0xE3, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0xC9, 0xC4, 0x87, 0x3F, 0x93, 0x7A, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x12, 0x53, 0x61, 0x3E, 0x76, 0x08, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0x8C, 0x74, 0xF4, 0x08, 0xC3, 0x76, 0x80 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0xDD, 0x09, 0xA6, 0xED, 0xEE, 0xC4, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xD9, 0xBE, 0x4B, 0xA5, 0xB7, 0x2B, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x20, 0x12, 0xCA, 0x0A, 0x38, 0x24, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x72, 0x71, 0x90, 0x7A, 0x2E, 0xB7, 0x23 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x66, 0xA1, 0x93, 0x10, 0x2A, 0x51, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0x10, 0x11, 0x12, 0xBC, 0xB0, 0xB6, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x58, 0xD7, 0x0A, 0x84, 0x05, 0xA3, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x8E, 0x95, 0x61, 0xD3, 0x0B, 0xDF, 0x36 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x92, 0x12, 0x0F, 0x5E, 0x87, 0x70, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0xE9, 0x9B, 0xEB, 0x3A, 0xFB, 0xCF, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0x92, 0xB9, 0xF7, 0x45, 0xD3, 0x06, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x28, 0x65, 0xE1, 0xC5, 0x6C, 0x57, 0x18 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x0E, 0x77, 0x01, 0x81, 0x9E, 0x38, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0xF0, 0xD5, 0xA5, 0x91, 0x2B, 0xDF, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xEE, 0xB6, 0x25, 0xD6, 0x98, 0xDE, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0xA1, 0x55, 0x63, 0x39, 0xEB, 0xB5, 0x47 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0xD6, 0xB8, 0xE3, 0x13, 0xED, 0x7F, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0xE8, 0xAE, 0x36, 0xB8, 0xCD, 0x19, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x82, 0x83, 0x7A, 0x7B, 0x46, 0x56, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x60, 0x46, 0x15, 0x5A, 0xAC, 0x99, 0x30 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x61, 0x50, 0xC6, 0xFF, 0x10, 0x7D, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x51, 0xDF, 0xA9, 0x7D, 0x78, 0x26, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0x15, 0x9A, 0xF7, 0x01, 0xC1, 0xBB, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x0F, 0xE6, 0x2A, 0xBD, 0x4A, 0x9E, 0x87 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xF8, 0xD1, 0x77, 0xD2, 0x49, 0xB3, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0x86, 0xFB, 0x9E, 0x1F, 0x5A, 0x60, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0xC4, 0x8D, 0xCD, 0x86, 0x61, 0x2F, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xF6, 0xB9, 0xAC, 0x37, 0x9D, 0xE9, 0x28 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x77, 0xAA, 0x97, 0x9C, 0x0B, 0x04, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0xA6, 0x60, 0x81, 0xCE, 0x25, 0x13, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x00, 0xF3, 0xBB, 0x82, 0x99, 0x95, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x5A, 0xCE, 0x90, 0x71, 0x38, 0x2F, 0x10 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x1A, 0xC0, 0x84, 0x27, 0xD6, 0x9D, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x37, 0x52, 0x16, 0x13, 0x0E, 0xCE, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xBF, 0x5A, 0xDB, 0xDB, 0x6E, 0x1E, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0xB7, 0x5E, 0xF9, 0x86, 0xDD, 0x8A, 0x5C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xAB, 0x5C, 0x8D, 0x1D, 0xF2, 0x2D, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0xC5, 0xF8, 0xF7, 0x1D, 0x96, 0x0B, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x4C, 0xA7, 0x45, 0x20, 0x6A, 0x1E, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x5D, 0xEF, 0xDE, 0xEE, 0x39, 0x44, 0x19 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0x2F, 0x6D, 0x52, 0xC9, 0x58, 0x60, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0xC9, 0x62, 0xCB, 0x38, 0x3C, 0x55, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xA5, 0x09, 0x10, 0x88, 0xDB, 0xE3, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0xE0, 0x3C, 0xCE, 0x06, 0x0B, 0x4B, 0x5D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0x1D, 0xB4, 0x10, 0x76, 0x8F, 0xBA, 0x09 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x70, 0x5A, 0x07, 0xF5, 0x1A, 0x74, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0xE9, 0x94, 0xA8, 0xC0, 0xD5, 0x4A, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x6D, 0xD4, 0xE8, 0x9B, 0xE9, 0x6D, 0x0E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x00, 0x32, 0x41, 0x57, 0x84, 0x89, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0xC7, 0x14, 0xEC, 0xE9, 0x27, 0xFF, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x67, 0x9E, 0xFB, 0xB6, 0xB8, 0x96, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0x4A, 0xE3, 0x97, 0x4B, 0x58, 0xDE, 0x30 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0x1E, 0x5C, 0xF5, 0x7F, 0xD5, 0xD4, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x08, 0x7A, 0xF1, 0xBD, 0x89, 0xC7, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0xF9, 0x11, 0x1B, 0xF5, 0x3C, 0x6D, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x50, 0xE5, 0x69, 0x1D, 0x59, 0xFC, 0x0C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x2F, 0xF8, 0x3F, 0xEC, 0x55, 0x99, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0xA7, 0x29, 0x90, 0x43, 0x81, 0x31, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x18, 0x44, 0x50, 0x5D, 0x76, 0xCB, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0xC5, 0x5B, 0x9A, 0x03, 0xE6, 0x17, 0x39 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x89, 0xFC, 0x55, 0x94, 0x91, 0x6A, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x46, 0x35, 0xF2, 0x3A, 0x42, 0x08, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0xD2, 0x76, 0x49, 0x42, 0x87, 0xD3, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xEA, 0xA0, 0x52, 0xF1, 0x6A, 0x30, 0x57 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0xB2, 0x57, 0xA3, 0x8A, 0x4D, 0x1B, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0xA3, 0x99, 0x94, 0xB5, 0x3D, 0x64, 0x09 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0xC3, 0xD7, 0x53, 0xF6, 0x49, 0x1C, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x23, 0x41, 0x4D, 0xFB, 0x7A, 0x5C, 0x53 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0xB8, 0x15, 0x65, 0x5C, 0x85, 0x94, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x37, 0xC7, 0xF8, 0x7E, 0xAE, 0x6C, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0xD8, 0x11, 0x54, 0x98, 0x44, 0xE3, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x4D, 0xA6, 0x4B, 0x28, 0xF2, 0x57, 0x9E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xD0, 0xEB, 0x1E, 0xAA, 0x30, 0xD3, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x9B, 0x4D, 0xA7, 0x73, 0x6E, 0xB6, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x47, 0xF6, 0xED, 0x37, 0xEF, 0x71, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0xB5, 0x49, 0x61, 0x5E, 0x45, 0xF6, 0x4A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x0E, 0xB3, 0x84, 0x3A, 0x63, 0x72, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x53, 0x5C, 0xA7, 0xC6, 0x2E, 0xAB, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x0F, 0x8F, 0x87, 0x50, 0x28, 0xB4, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x98, 0x4A, 0x98, 0x31, 0x86, 0xCA, 0x51 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xC9, 0xE2, 0xFD, 0x5D, 0x1F, 0xE8, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x90, 0x91, 0xC4, 0x84, 0xF0, 0xBA, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x5A, 0xB3, 0x4E, 0xFB, 0xE0, 0x57, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x0B, 0x90, 0xA6, 0xFD, 0x9D, 0x8E, 0x02 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x41, 0x8F, 0x31, 0xFA, 0x5A, 0xF6, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xE9, 0xE3, 0xF6, 0xE0, 0x4A, 0xE7, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0x4E, 0xCD, 0xA2, 0x22, 0x14, 0xD4, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0xED, 0x21, 0xB7, 0x0F, 0x53, 0x10, 0x17 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x06, 0x24, 0x2C, 0x4E, 0xD1, 0x1E, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0x3F, 0xC1, 0x9F, 0xAB, 0xF0, 0x37, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x03, 0x5E, 0x12, 0xCE, 0x83, 0x1B, 0x2A, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x65, 0xCF, 0xE8, 0x5C, 0xA5, 0xA2, 0x70 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x86, 0x76, 0x3A, 0x94, 0xF6, 0x1D, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0xDA, 0xC9, 0xA6, 0x29, 0x93, 0x15, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x61, 0x6A, 0x7D, 0xC7, 0xA9, 0xF3, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x03, 0x71, 0xA2, 0x15, 0xCE, 0x50, 0x72 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0xD0, 0xA8, 0x1E, 0x91, 0xC4, 0x4F, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0x4B, 0x7E, 0xD7, 0x71, 0x58, 0x7E, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x45, 0xAF, 0x2A, 0x18, 0x93, 0x95, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x8F, 0xC7, 0xFA, 0x4C, 0x7A, 0x86, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0xAF, 0x68, 0x3A, 0x23, 0xC1, 0x2E, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0x50, 0x11, 0x67, 0x39, 0xB9, 0xAF, 0x48 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x86, 0xAA, 0x1E, 0x88, 0x21, 0x29, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x28, 0xA4, 0x9D, 0x89, 0xA9, 0x9A, 0x10 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0xBA, 0x04, 0x67, 0xB7, 0x01, 0x40, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xE9, 0x09, 0xA3, 0xCA, 0xA6, 0x37, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x97, 0xA8, 0xB6, 0x3C, 0xEE, 0x90, 0x3D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0xED, 0xC4, 0xF7, 0xC3, 0x95, 0xEC, 0x85 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x84, 0xBD, 0xEB, 0xD5, 0x64, 0xBB, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x9B, 0xE2, 0x28, 0x50, 0xC2, 0x72, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0xF2, 0x74, 0xD1, 0x26, 0xBF, 0x32, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0xCB, 0xAF, 0x72, 0xDB, 0x6D, 0x30, 0x98 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP256r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x50, 0x85, 0xF4, 0x2B, 0x48, 0xC1, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x28, 0xBB, 0x11, 0xBA, 0x5B, 0x22, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xA1, 0xE5, 0x5C, 0xC9, 0x1D, 0x44, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0xE8, 0xE6, 0x6F, 0xBB, 0xC1, 0x81, 0x7F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point brainpoolP256r1_T[16] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(brainpoolP256r1_T_0_X, brainpoolP256r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_1_X, brainpoolP256r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_2_X, brainpoolP256r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_3_X, brainpoolP256r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_4_X, brainpoolP256r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_5_X, brainpoolP256r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_6_X, brainpoolP256r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_7_X, brainpoolP256r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_8_X, brainpoolP256r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_9_X, brainpoolP256r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_10_X, brainpoolP256r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_11_X, brainpoolP256r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_12_X, brainpoolP256r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_13_X, brainpoolP256r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_14_X, brainpoolP256r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP256r1_T_15_X, brainpoolP256r1_T_15_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define brainpoolP256r1_T NULL
|
|
|
|
#endif
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for brainpoolP384r1 (RFC 5639 3.6)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0xEC, 0x07, 0x31, 0x13, 0x00, 0x47, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x1A, 0x1D, 0x90, 0x29, 0xA7, 0xD3, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0x11, 0xB7, 0x7F, 0x19, 0xDA, 0xB1, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_a[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0xD4, 0x3A, 0x50, 0x4A, 0x81, 0xA5, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xF9, 0x91, 0xBA, 0xEF, 0x65, 0x91, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x27, 0xB2, 0x4F, 0x8E, 0xA2, 0xBE, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0xAF, 0x05, 0xCE, 0x0A, 0x08, 0x72, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0x15, 0x8C, 0x3D, 0xC6, 0x82, 0xC3, 0x7B ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x4C, 0x50, 0xFA, 0x96, 0x86, 0xB7, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0xC9, 0xDB, 0x95, 0x02, 0x39, 0xB4, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x62, 0xEB, 0x3E, 0xA5, 0x0E, 0x88, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA6, 0xD2, 0xDC, 0x07, 0xE1, 0x7D, 0xB7, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x44, 0xF0, 0x16, 0x54, 0xB5, 0x39, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x28, 0xCE, 0x22, 0xDD, 0xC7, 0xA8, 0x04 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x65, 0x04, 0xE9, 0x02, 0x32, 0x88, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xC3, 0x7F, 0x6B, 0xAF, 0xB6, 0x3A, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x25, 0x04, 0xAC, 0x6C, 0x6E, 0x16, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x56, 0x54, 0xED, 0x09, 0x71, 0x2F, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x41, 0xE6, 0x50, 0x7E, 0x6F, 0x5D, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x6D, 0x38, 0xA3, 0x82, 0x1E, 0xB9, 0x8C ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2021-04-08 08:32:06 +02:00
|
|
|
|
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xD4, 0x47, 0xE2, 0xB2, 0x87, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x46, 0xD6, 0x36, 0x34, 0xE0, 0x26, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x10, 0xBD, 0x0C, 0xFE, 0xCA, 0x7F, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x4F, 0xF1, 0x7E, 0xE7, 0xA3, 0x47, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x3F, 0xC1, 0xB7, 0x81, 0x3A, 0xA6, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x45, 0xCF, 0x68, 0xF0, 0x64, 0x1C, 0x1D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x53, 0x3C, 0x26, 0x41, 0x03, 0x82, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x91, 0x77, 0x21, 0x46, 0x46, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x29, 0x91, 0xF9, 0x4F, 0x05, 0x9C, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x58, 0xEC, 0xFE, 0x29, 0x0B, 0xB7, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0xD5, 0xCF, 0x95, 0x8E, 0xEB, 0xB1, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0xC2, 0xF9, 0x20, 0x75, 0x1D, 0xBE, 0x8A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0xD8, 0x8A, 0x54, 0x41, 0xD6, 0x6B, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0x3B, 0xF1, 0x22, 0xFD, 0x2D, 0x4B, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x55, 0xE3, 0x33, 0xF0, 0x73, 0x52, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x3F, 0x30, 0x26, 0xCA, 0x7F, 0x52, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD3, 0x6E, 0x17, 0x9B, 0xD5, 0x2A, 0x4A, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xDA, 0x6B, 0xE5, 0x03, 0x07, 0x1D, 0x2E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0x7A, 0xAF, 0x98, 0xE3, 0xA4, 0xF6, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x7D, 0xFE, 0x51, 0x40, 0x3B, 0x47, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x88, 0xEC, 0xC4, 0xE2, 0x8F, 0xCB, 0xA4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0xE2, 0x88, 0x2D, 0x4E, 0x50, 0xEB, 0x9A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x54, 0x94, 0x5E, 0xF4, 0x7F, 0x3A, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x07, 0x1C, 0xE1, 0xBD, 0x0F, 0xF8, 0x63 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x92, 0x28, 0x2E, 0x32, 0x04, 0xB1, 0x4D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0x82, 0x44, 0x43, 0x76, 0x0D, 0x55, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0xE3, 0xFF, 0x89, 0x46, 0xDE, 0x4E, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0x22, 0xBB, 0x67, 0x1A, 0x81, 0xEE, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x54, 0xE2, 0x7A, 0xAE, 0xDA, 0x2C, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x9A, 0x90, 0xAA, 0x6E, 0x8B, 0xCC, 0x5F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x40, 0xAC, 0xED, 0x7D, 0x37, 0x87, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0xF8, 0xB1, 0x80, 0x4C, 0x8C, 0x04, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x98, 0x2C, 0xAD, 0x30, 0x69, 0x35, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x2E, 0x00, 0x2F, 0x44, 0x8C, 0xF0, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x58, 0x07, 0xD7, 0xCD, 0x60, 0xA1, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0xFB, 0x7B, 0x03, 0x05, 0x5E, 0x79, 0x73 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x17, 0xCE, 0x38, 0x4B, 0x5E, 0x5B, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x60, 0x0E, 0x0A, 0x61, 0x9D, 0x7C, 0x62, 0x08 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0xF0, 0x98, 0x71, 0x7F, 0x17, 0x26, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0xD3, 0xFA, 0x3C, 0xF0, 0x70, 0x07, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x47, 0x5C, 0x09, 0x43, 0xB7, 0x65, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xA7, 0x3E, 0xFA, 0xF3, 0xEC, 0x22 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x78, 0x22, 0x2B, 0x58, 0x71, 0xFA, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x30, 0xCE, 0x6A, 0xB3, 0xB0, 0x4F, 0x83 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0x95, 0x20, 0xA9, 0x23, 0xC2, 0x65, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0xCF, 0x03, 0x5B, 0x8A, 0x80, 0x44, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xF8, 0x91, 0xF7, 0xD5, 0xED, 0xEA, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x5B, 0x16, 0x10, 0x25, 0xAC, 0x2A, 0x17 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0xEC, 0xDC, 0xC4, 0x7B, 0x8C, 0x6B, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0xBB, 0x1C, 0xD3, 0x5A, 0xEE, 0xD9, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x5D, 0x30, 0x5E, 0xF7, 0xB2, 0x41, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0xCE, 0x0F, 0x1A, 0xC6, 0x41, 0x64, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x18, 0xE1, 0xE3, 0x82, 0x15, 0x66, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0xE2, 0x24, 0x04, 0x72, 0x39, 0xA0, 0x7C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0x51, 0xA2, 0x58, 0x88, 0x62, 0xE1, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0xD2, 0x65, 0x14, 0xE9, 0x4C, 0x82, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0xE1, 0xAC, 0x87, 0xAE, 0x31, 0x1A, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0x4F, 0x96, 0x1E, 0x85, 0x7A, 0xC3, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x86, 0xBB, 0xF0, 0xC0, 0x9D, 0x08, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0x53, 0x03, 0x09, 0x80, 0x91, 0xEF, 0x68 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0xD7, 0xAF, 0x6F, 0x69, 0x7B, 0x88, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0x13, 0xE4, 0x30, 0xA2, 0x47, 0xB5, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xD2, 0xC0, 0xDD, 0x8A, 0x1C, 0x3C, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x8C, 0xB3, 0x4C, 0xBA, 0x8B, 0x6D, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0xC7, 0xA1, 0xA8, 0x6E, 0x3C, 0x4F, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x4A, 0x97, 0xC8, 0x03, 0x6F, 0x01, 0x82 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x18, 0x12, 0xA9, 0x39, 0xD5, 0x22, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0xA7, 0xC0, 0xBD, 0x9D, 0x8D, 0x78, 0x38 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0xB3, 0xD0, 0x7F, 0xDF, 0xD0, 0x30, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x25, 0x73, 0x96, 0xEC, 0xA8, 0x1D, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0xD1, 0x65, 0x66, 0xDC, 0xD9, 0xCF, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0xED, 0x7B, 0x37, 0xAD, 0xE2, 0xBE, 0x2D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x79, 0x42, 0x6A, 0x07, 0x66, 0xB1, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x53, 0x62, 0x65, 0x92, 0x09, 0x4C, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0xAF, 0xC3, 0x03, 0xF6, 0xF4, 0x2D, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0xCA, 0x41, 0xD9, 0xA2, 0x69, 0x9B, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0xB2, 0xA6, 0x8D, 0xE1, 0xAA, 0x61, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xBA, 0x4D, 0x12, 0xB6, 0xBE, 0xF3, 0x7E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x92, 0x22, 0x07, 0xCE, 0xC9, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0xA1, 0x7C, 0x91, 0xDB, 0x32, 0xF7, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x49, 0x4B, 0x6D, 0xFB, 0xD9, 0x70, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0xFB, 0x4E, 0x4C, 0x5E, 0x66, 0x81, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0xB3, 0xE1, 0x00, 0xB7, 0xD9, 0xCC, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x36, 0x8B, 0xC4, 0x39, 0x20, 0xFD, 0x30 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x1F, 0x60, 0x03, 0xBB, 0xD7, 0x60, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x3C, 0x62, 0xDD, 0x71, 0x95, 0xE9, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x5B, 0x7A, 0x5F, 0x68, 0x81, 0xC5, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xAF, 0xB5, 0xB9, 0x98, 0x42, 0x28, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0x29, 0x8E, 0x11, 0x49, 0xB4, 0xD7, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x3E, 0xD2, 0x30, 0xA1, 0xBA, 0xCA, 0x03 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x37, 0x64, 0x44, 0x2F, 0x03, 0xE5, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x42, 0xBC, 0xFF, 0xA2, 0x1A, 0x5F, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0x04, 0xAB, 0x04, 0xE0, 0x24, 0xAD, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0x45, 0x17, 0x67, 0x1F, 0x3E, 0x53, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x0F, 0xB3, 0x1B, 0x57, 0x54, 0xC2, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xD3, 0xF8, 0xC4, 0x1B, 0x9B, 0xFA, 0x30 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x90, 0xFD, 0xFB, 0xCA, 0x49, 0x38, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0xCF, 0xC6, 0xDD, 0xF0, 0xFF, 0x8C, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0x69, 0x9D, 0xBD, 0x5F, 0x33, 0xE9, 0xB4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x19, 0x82, 0x3D, 0xAC, 0x1C, 0x40, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0xC7, 0x02, 0x46, 0x14, 0x77, 0x00, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x05, 0xF2, 0x77, 0x3A, 0x66, 0x5C, 0x39 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xE6, 0x17, 0xDE, 0xB2, 0xA1, 0xE5, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0x71, 0xEC, 0x9D, 0xD8, 0xF5, 0xD4, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0xC6, 0x42, 0x5E, 0xE7, 0x18, 0xBA, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x21, 0x68, 0x5A, 0x26, 0xFB, 0xD7, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x00, 0x5C, 0xBA, 0x8A, 0x34, 0xEC, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0x9C, 0x3C, 0xAF, 0x53, 0xE8, 0x65, 0x35 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xEF, 0x28, 0xDC, 0x67, 0x05, 0xC8, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x78, 0xC3, 0x85, 0x49, 0xA0, 0xBC, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x3E, 0x2D, 0xA0, 0xCF, 0xD4, 0x7A, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0x93, 0xFE, 0x60, 0xB3, 0x6E, 0x99, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x62, 0xAD, 0x04, 0xE7, 0x49, 0xAF, 0x5E, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x7A, 0xED, 0xA6, 0x9E, 0x18, 0x09, 0x31 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x05, 0x94, 0x44, 0xDC, 0xB8, 0x85, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0xB7, 0x37, 0xC2, 0x50, 0x75, 0x15, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0xC6, 0x0F, 0xB2, 0xA9, 0x91, 0x3E, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x81, 0xAD, 0x25, 0xA1, 0x26, 0x73, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xF1, 0xD1, 0x61, 0x7C, 0x76, 0x8F, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0xDB, 0x4A, 0xFF, 0x14, 0xA7, 0x48, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x73, 0xC6, 0xC2, 0xCC, 0xF1, 0x57, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0xED, 0x73, 0x27, 0x70, 0x82, 0xB6, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0xBA, 0xAC, 0x3A, 0xCF, 0xF4, 0xEA, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xD6, 0xB1, 0x8F, 0x0E, 0x08, 0x2C, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xE3, 0x8F, 0x2F, 0x0E, 0xA1, 0xF3, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0xF5, 0x7C, 0x9B, 0x29, 0x0A, 0xF6, 0x28 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0xEE, 0x17, 0x47, 0x34, 0x15, 0xA3, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xBE, 0x88, 0x48, 0xE7, 0xA2, 0xBB, 0xDE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0xAD, 0xDC, 0x65, 0x61, 0x37, 0x0F, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x67, 0xAD, 0xA2, 0x3A, 0x1C, 0x91, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x07, 0x0C, 0x3A, 0x41, 0x6E, 0x13, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0xBD, 0x7E, 0xED, 0xAA, 0x14, 0xDD, 0x61 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC3, 0xDC, 0x20, 0x01, 0x72, 0x11, 0x48, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xC4, 0x7B, 0xF8, 0x62, 0x3D, 0xF0, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0xC2, 0x3D, 0x2E, 0x52, 0xA3, 0x4A, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xE2, 0x53, 0x46, 0x5E, 0x21, 0xF8, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0xC7, 0x8F, 0xA9, 0x26, 0x42, 0x32, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xA6, 0xA0, 0x8D, 0x4B, 0x9A, 0x19, 0x03 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xAB, 0x6D, 0x1E, 0xFB, 0xEE, 0x60, 0x0C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x56, 0x3C, 0xC5, 0x5D, 0x10, 0x79, 0x1C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0xBC, 0x41, 0x9F, 0x71, 0xEF, 0x02, 0xF9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA2, 0x36, 0xC4, 0xD0, 0x88, 0x9B, 0x32, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0xD4, 0x5D, 0x17, 0x39, 0xE6, 0x22, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7B, 0x26, 0x01, 0xCE, 0xBE, 0x4A, 0x9C, 0x27 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x6D, 0x11, 0xCA, 0x6C, 0x5A, 0x93, 0x0C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x96, 0x26, 0xAF, 0x2F, 0xE4, 0x30, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0xC1, 0x4C, 0xC6, 0x30, 0x1F, 0x5C, 0x04 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x59, 0xB3, 0xE8, 0xFC, 0x35, 0xEB, 0x63, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x1D, 0xCA, 0xFC, 0x50, 0x36, 0x4B, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x0E, 0x23, 0x5B, 0xAF, 0xEB, 0x2D, 0x31 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0x88, 0xB6, 0xD7, 0x74, 0x4A, 0x23, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x66, 0xE2, 0xBB, 0x29, 0xA6, 0x4F, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0x6F, 0x7E, 0x68, 0x6E, 0xA0, 0x14, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0x73, 0xD4, 0xE8, 0xAB, 0x5B, 0xF6, 0x0D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0xE0, 0x3C, 0x24, 0x00, 0x95, 0xE9, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x0D, 0x4F, 0x81, 0xD0, 0xF2, 0x3F, 0x00 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0x1D, 0xCD, 0x78, 0x39, 0xC4, 0x6B, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x45, 0xC7, 0xB8, 0x2F, 0xAA, 0x5D, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0x8C, 0x6E, 0xA3, 0x24, 0xB2, 0xDB, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0x2D, 0xD9, 0xF1, 0xC7, 0x9B, 0x8A, 0xAF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0xE1, 0x2C, 0xB9, 0x40, 0x37, 0x91, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x2C, 0xB5, 0x23, 0x03, 0x2B, 0xAF, 0x2F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0x9D, 0x5A, 0x20, 0x10, 0xA9, 0x84, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x30, 0x89, 0x20, 0x13, 0xE9, 0xB2, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x6E, 0x52, 0xEB, 0x03, 0x18, 0x1F, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x9E, 0x1C, 0x35, 0x87, 0x92, 0x69, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0xC9, 0x88, 0xAF, 0xC6, 0x6C, 0x83, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0xD5, 0x7A, 0x54, 0x34, 0x99, 0xB6, 0x6F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0xAD, 0x45, 0x9B, 0x4B, 0x41, 0x4D, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0x5D, 0xAB, 0x7F, 0x35, 0x34, 0xE9, 0x29 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0xBE, 0x78, 0x34, 0x44, 0xF3, 0x4A, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xDE, 0xE3, 0xC4, 0xEE, 0x0B, 0xF9, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x86, 0x16, 0x48, 0x32, 0xB8, 0x74, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0xEE, 0x7C, 0xBA, 0xBD, 0x81, 0xE3, 0x55 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x6A, 0xFA, 0x84, 0xDA, 0xB8, 0xD5, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0x9F, 0x8A, 0xD5, 0x1B, 0x2E, 0x1A, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x0C, 0x61, 0xE2, 0xFF, 0x5B, 0xE6, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0x62, 0xC1, 0x87, 0x53, 0x1B, 0x92, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x90, 0x00, 0xD1, 0x6A, 0x0C, 0x0E, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0x2E, 0xB5, 0x3B, 0x44, 0xB5, 0xA0, 0x78 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x5D, 0x02, 0x58, 0xB5, 0xBE, 0x45, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xEF, 0x8E, 0x90, 0x4D, 0x2A, 0x32, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0x99, 0x75, 0x5C, 0x0A, 0x33, 0x8F, 0x36 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x6C, 0x95, 0xD4, 0x1F, 0xF3, 0xEB, 0xDA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0xE4, 0x4C, 0x91, 0x20, 0xF3, 0x25, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x95, 0xEB, 0x29, 0x6F, 0x20, 0x34, 0x81 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0x15, 0xE5, 0x13, 0x7E, 0x64, 0x8B, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0xBC, 0x0D, 0x18, 0x7E, 0x37, 0x9E, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x82, 0x20, 0xF7, 0x2D, 0x7A, 0x77, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x29, 0xA2, 0xDB, 0x7A, 0xE6, 0x6F, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0xC6, 0x50, 0x5C, 0xBC, 0xE6, 0x4F, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x9F, 0xD5, 0xE8, 0xC5, 0x3D, 0xB7, 0x30 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_16_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x03, 0x55, 0x10, 0xDB, 0xA6, 0x8B, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x17, 0xAE, 0x78, 0xC9, 0x1D, 0x43, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x35, 0x49, 0xD4, 0x47, 0x84, 0x8D, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x95, 0x2F, 0xEA, 0xBC, 0xB4, 0x18, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x48, 0xAE, 0x89, 0xF5, 0x65, 0x3D, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xF2, 0x2B, 0x20, 0xD1, 0x75, 0x50, 0x63 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_16_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0xE6, 0x5C, 0x2C, 0xE0, 0x7D, 0xDF, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x07, 0x3E, 0xCE, 0x9F, 0x18, 0xB6, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0xF8, 0xF0, 0xD5, 0xFA, 0x42, 0x1D, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x6C, 0x1D, 0x03, 0xC9, 0x0E, 0x2B, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x18, 0x52, 0xA5, 0xB4, 0x63, 0xE1, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x0A, 0xD9, 0xC4, 0xFD, 0x16, 0x60, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_17_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x7D, 0xDE, 0xDF, 0x4B, 0x4A, 0xB0, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x4E, 0x8C, 0x94, 0xC1, 0xE2, 0x85, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4F, 0xF0, 0xEA, 0xB5, 0x9B, 0x70, 0xEF, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x56, 0xC2, 0x39, 0x5D, 0xF3, 0x2C, 0xD9, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0x1C, 0x2E, 0xCC, 0x2F, 0x54, 0x87, 0x80 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB0, 0x72, 0xC7, 0xB5, 0x50, 0xA3, 0x84, 0x77 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_17_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xD1, 0xAF, 0xA9, 0xB4, 0x8B, 0x5D, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xF6, 0x52, 0x8A, 0xC3, 0x56, 0xA5, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0x52, 0xFF, 0xEA, 0x05, 0x42, 0x77, 0x83 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x08, 0x90, 0x72, 0x86, 0xC4, 0xC3, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0x15, 0xF8, 0xF1, 0x16, 0x67, 0xC6, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x87, 0xAC, 0x8F, 0x71, 0xEC, 0x83, 0x81 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_18_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0xE1, 0xE6, 0x2D, 0x0E, 0x11, 0xA1, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0xE2, 0xA8, 0x32, 0xE6, 0xE3, 0x83, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x56, 0xE5, 0xCD, 0xB7, 0x2B, 0x67, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0xED, 0xC9, 0x65, 0x6D, 0x87, 0xE1, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xFD, 0x9A, 0x53, 0x0E, 0xFA, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0x4C, 0x4A, 0xE2, 0x23, 0x84, 0xFA, 0x01 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_18_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0xFE, 0x49, 0x81, 0xD1, 0x3E, 0xF4, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x72, 0xE0, 0xEF, 0x0D, 0xB8, 0x3E, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x00, 0x0F, 0x5F, 0xCE, 0x60, 0x72, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xCC, 0xD8, 0x03, 0x07, 0x6E, 0x5A, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x3A, 0x35, 0x50, 0x4E, 0x1F, 0xCA, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0xEA, 0x88, 0x55, 0xBD, 0x6E, 0x05, 0x7F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_19_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0x6D, 0xF1, 0x97, 0xA6, 0x69, 0x39, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0x41, 0x99, 0xFF, 0x3B, 0xA1, 0x26, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x2F, 0x95, 0x80, 0x12, 0x4A, 0x1B, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xBF, 0x51, 0xAA, 0xAE, 0x2D, 0xDA, 0xCF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0x1C, 0xB3, 0x52, 0x36, 0x49, 0xD4, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xC1, 0x1F, 0x3A, 0xD3, 0x3E, 0x5C, 0x1A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_19_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x51, 0xF7, 0x2B, 0xC8, 0xA9, 0xA7, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0x4E, 0x7F, 0x98, 0x41, 0x66, 0xB0, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x1D, 0xC0, 0x42, 0xCD, 0xF8, 0xC3, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x41, 0x91, 0x7D, 0xCC, 0x8B, 0xCC, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xAE, 0x76, 0xED, 0x56, 0x18, 0xC5, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x6A, 0x06, 0xA3, 0x7F, 0x65, 0x10, 0x1F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_20_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0xEC, 0x3C, 0x05, 0x05, 0xCA, 0xF6, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x48, 0xCD, 0x02, 0x51, 0x12, 0x16, 0x3C, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0xEB, 0xB3, 0x43, 0x7B, 0xDD, 0xB2, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x59, 0x90, 0x41, 0xDB, 0xE4, 0xF5, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x0E, 0x18, 0x2A, 0x5A, 0x83, 0x7C, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x37, 0xA1, 0x0D, 0xF1, 0x2F, 0x63, 0x79 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_20_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xC0, 0xFA, 0x6F, 0x1F, 0x67, 0xCF, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x34, 0x45, 0xBB, 0xF4, 0xF9, 0x9B, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0x69, 0xFE, 0x67, 0x1D, 0x64, 0x8F, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x39, 0xBF, 0xD8, 0xB3, 0xC7, 0xAD, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0x93, 0xFF, 0xF3, 0x28, 0xFA, 0x39, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xF9, 0xC3, 0x85, 0x26, 0x7A, 0x88, 0x89 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_21_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0xD5, 0x79, 0xD8, 0x11, 0xDE, 0xEB, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x46, 0xA4, 0x6A, 0xDA, 0x74, 0x34, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0xBD, 0xD3, 0xF5, 0x14, 0xEE, 0xFE, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x4C, 0xA3, 0x71, 0x43, 0x65, 0xF8, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x6C, 0x35, 0xFA, 0x90, 0x25, 0xD8, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x34, 0x84, 0x96, 0xA1, 0x43, 0x03, 0x4D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_21_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x3B, 0x3B, 0x2F, 0xCA, 0x59, 0xF2, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCD, 0x48, 0x24, 0x74, 0xD8, 0x72, 0x90, 0xA3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x42, 0x74, 0x8C, 0x6F, 0x52, 0x19, 0x3D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x40, 0x9E, 0x41, 0x63, 0x68, 0x78, 0x4C, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0x94, 0xB6, 0x6B, 0x38, 0x52, 0xA8, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x30, 0x25, 0x93, 0xA1, 0x6F, 0x6E, 0x68 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_22_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x2F, 0x4B, 0x64, 0x79, 0x50, 0xFF, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0x36, 0xED, 0x57, 0x39, 0x3B, 0xE7, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x85, 0xEA, 0x35, 0xD6, 0xC0, 0xA0, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x89, 0x3A, 0xCC, 0x22, 0x1C, 0x46, 0x02 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x7A, 0xB0, 0xA1, 0x1B, 0x69, 0x62, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xB8, 0x8A, 0x6C, 0x18, 0x85, 0x0D, 0x88 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_22_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xB6, 0x50, 0xE9, 0x4E, 0x7F, 0xE8, 0x07 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x5B, 0x5C, 0xD1, 0x4B, 0x11, 0x9A, 0xD8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x25, 0x56, 0x74, 0x51, 0x9C, 0xEC, 0x9C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x7F, 0xB6, 0x8A, 0xCB, 0x3A, 0x10, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x60, 0x33, 0x07, 0x01, 0xE9, 0x49, 0x59, 0xE6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0xA5, 0x2E, 0xF2, 0xBA, 0x32, 0x63, 0x44 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_23_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x06, 0x0B, 0xA5, 0x44, 0x27, 0x7F, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x74, 0xAC, 0x0F, 0xCC, 0x4F, 0x13, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0xB1, 0xBF, 0x97, 0x49, 0xA5, 0x1C, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x64, 0x68, 0x7B, 0x0F, 0xCC, 0x77, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x39, 0xF9, 0x4E, 0x84, 0x9C, 0xF6, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xCF, 0x6D, 0xE2, 0xA1, 0x2D, 0xF9, 0x2B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_23_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0xC4, 0x90, 0x57, 0x31, 0x01, 0x05, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x1E, 0xBB, 0xBF, 0x98, 0xA4, 0x7C, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0xE3, 0xA0, 0xB2, 0xCD, 0x39, 0x9A, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x34, 0x60, 0x7A, 0x89, 0x98, 0xB5, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0x20, 0x3D, 0x3A, 0x04, 0x8F, 0x5A, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x26, 0xB6, 0x49, 0x09, 0x9C, 0x0F, 0x59 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_24_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x66, 0xD2, 0x38, 0x2A, 0x62, 0x81, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0xC8, 0x20, 0x5E, 0x28, 0xA3, 0x81, 0xA7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0x31, 0xA4, 0xF1, 0xEA, 0x7D, 0x87, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8F, 0x2C, 0x99, 0x09, 0x6F, 0x63, 0xEB, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x73, 0x76, 0xDA, 0x1A, 0x06, 0xBE, 0xDE, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x09, 0x2E, 0x75, 0x39, 0x30, 0x2D, 0x42 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_24_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x9B, 0xC1, 0x5A, 0x17, 0xC3, 0x8C, 0x31 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x58, 0x8D, 0x94, 0x4D, 0x3D, 0xAB, 0x60, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xFD, 0x1E, 0x0F, 0x43, 0xAE, 0x9D, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0xF2, 0xF3, 0x20, 0x1B, 0xAA, 0xB7, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0x5B, 0xA4, 0xF4, 0x90, 0x3B, 0xE3, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x78, 0x72, 0xBD, 0x65, 0x09, 0x0B, 0x01 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_25_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x37, 0x2A, 0x6C, 0x16, 0x4F, 0x64, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0xCE, 0xA3, 0x90, 0xB4, 0x9A, 0xBC, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x38, 0x55, 0x63, 0x1D, 0x3A, 0x6E, 0x18 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0xB4, 0xAA, 0x99, 0x22, 0x45, 0x89, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0x7C, 0x8C, 0xA6, 0x3D, 0xA7, 0x3E, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x06, 0x42, 0xDC, 0xA6, 0xE3, 0xC6, 0x12 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_25_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x8C, 0x3D, 0x5D, 0x47, 0x31, 0x7C, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x85, 0xEE, 0x46, 0x7E, 0x13, 0x04, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x3C, 0x8B, 0x43, 0x2E, 0x74, 0xF5, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x88, 0x8E, 0x07, 0x29, 0x08, 0x03, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0x9B, 0x89, 0xEB, 0x08, 0xE8, 0x43, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0x07, 0x67, 0xFD, 0xD9, 0x73, 0x6F, 0x18 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_26_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0xEB, 0x21, 0x8D, 0x98, 0x43, 0x74, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x88, 0xCC, 0x14, 0xD8, 0x08, 0xBB, 0xA6, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x98, 0xF2, 0x6A, 0x18, 0xC3, 0xDD, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0x38, 0x91, 0xA0, 0x03, 0xF2, 0x04, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0xAF, 0xE8, 0xFD, 0xFB, 0x13, 0x70, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x93, 0x87, 0x98, 0x4A, 0xE0, 0x00, 0x12 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_26_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x2E, 0x69, 0x9C, 0xA2, 0x2D, 0x03, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0xFE, 0xF3, 0xB9, 0xC1, 0x85, 0x2A, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xFD, 0x86, 0xB1, 0xCD, 0xBF, 0x41, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0xD8, 0x9A, 0x21, 0xF3, 0xFE, 0xCB, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x78, 0x04, 0x60, 0xB7, 0xA9, 0xA2, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x1E, 0x66, 0x2A, 0x54, 0x51, 0xBD, 0x8B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_27_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x16, 0x36, 0xEF, 0x61, 0x2D, 0xEE, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x5F, 0x88, 0xA0, 0x13, 0x12, 0xF7, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA9, 0xC6, 0xAD, 0x4A, 0x4A, 0x07, 0x01, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB8, 0x74, 0xB1, 0x4F, 0xEB, 0xBD, 0xD5, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xF9, 0x71, 0xA2, 0x06, 0x4F, 0xD7, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x8B, 0x4D, 0x48, 0xE0, 0x98, 0xFB, 0x6A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_27_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0xBA, 0x10, 0xA3, 0x0D, 0x52, 0xAC, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xD0, 0xE0, 0x36, 0xE6, 0x07, 0x3A, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x80, 0xF0, 0xAA, 0x49, 0x22, 0x4B, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xC7, 0xAB, 0x1C, 0x89, 0xCD, 0x24, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x82, 0x2A, 0xFC, 0xB3, 0x6D, 0x45, 0x96, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0xE4, 0xDB, 0x52, 0x3F, 0xC4, 0xB4, 0x19 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_28_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5B, 0xCC, 0xC8, 0x7F, 0xBB, 0x6B, 0x87, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x21, 0x3C, 0x69, 0x7D, 0x38, 0x57, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0x4C, 0x18, 0x3C, 0x53, 0xA5, 0x48, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xC3, 0x64, 0x45, 0xDB, 0xC4, 0x6D, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0xCC, 0xD1, 0xBB, 0x17, 0xB8, 0x34, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x69, 0x71, 0xFA, 0xA0, 0x28, 0x4A, 0x3D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_28_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0xE8, 0x9E, 0x39, 0xEA, 0x8D, 0x38, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x9C, 0xBB, 0xCD, 0x80, 0x1A, 0xEE, 0xB7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xA0, 0x45, 0xBF, 0xD9, 0x22, 0x11, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x7C, 0x5C, 0xD9, 0xC0, 0x9F, 0x69, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x8A, 0xA6, 0x79, 0x4E, 0x35, 0xB9, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCC, 0x8B, 0x9A, 0x3E, 0xA1, 0xB8, 0x28, 0x10 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_29_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x2F, 0xEF, 0xBB, 0xA9, 0x72, 0x7F, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x34, 0xB7, 0x12, 0xB9, 0xE7, 0xC3, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x1D, 0xD9, 0x42, 0x77, 0x0C, 0x71, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x01, 0x59, 0xA7, 0x56, 0x03, 0x91, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x91, 0x99, 0x33, 0x30, 0x3E, 0xEF, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0xC9, 0x5A, 0x9A, 0x54, 0x66, 0xF1, 0x70 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_29_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0x2C, 0xB7, 0x6E, 0x71, 0x7D, 0x35, 0x30 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x0D, 0xEF, 0xD1, 0x2D, 0x99, 0x63, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x31, 0xAF, 0x2D, 0xC9, 0xC6, 0xC2, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0xC0, 0xDF, 0x80, 0x54, 0xC4, 0xAC, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x6B, 0xA0, 0x84, 0x96, 0xF7, 0x31, 0xC8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0xE2, 0x7C, 0x7A, 0x41, 0x45, 0x75, 0x6A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_30_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0xEE, 0x58, 0x31, 0xE8, 0x68, 0xD6, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x2E, 0x48, 0xB7, 0x09, 0x9F, 0xD4, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xA9, 0x5C, 0xE7, 0x64, 0x43, 0x5D, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9E, 0x58, 0x9F, 0x50, 0xAB, 0x68, 0xFF, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0x88, 0x2D, 0xBA, 0x12, 0xBF, 0x8D, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0xDF, 0x6F, 0xB3, 0x75, 0xA4, 0x55, 0x73 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_30_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x17, 0x92, 0x39, 0xB7, 0x13, 0x37, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x43, 0x71, 0xA7, 0xCA, 0x17, 0x1B, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE7, 0xB9, 0xB0, 0x78, 0xEF, 0xA0, 0xDA, 0x83 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x84, 0xF2, 0x0F, 0x85, 0xA2, 0xB6, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x72, 0x65, 0x2E, 0x6E, 0x45, 0xB9, 0x4C, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0x6A, 0x8C, 0x2B, 0x77, 0x96, 0x36, 0x22 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_31_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x7A, 0x13, 0x4A, 0x97, 0x63, 0x02, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x1E, 0x06, 0x03, 0x8F, 0xB9, 0xEE, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0xEE, 0x8B, 0x89, 0xA9, 0x70, 0xDB, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x7B, 0x81, 0xC9, 0x70, 0x8D, 0x62, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0xDA, 0x46, 0xF8, 0xF9, 0x3A, 0xBE, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0x9C, 0x7A, 0x97, 0x62, 0xEB, 0xFA, 0x0F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP384r1_T_31_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0x03, 0x3D, 0x3C, 0x46, 0x27, 0x9E, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x08, 0x1C, 0xD5, 0x25, 0xAF, 0xE9, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0x69, 0xDC, 0x59, 0xF4, 0x8A, 0x7C, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x9A, 0x7A, 0x99, 0x21, 0x0C, 0x4E, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xCE, 0x85, 0x5F, 0xAC, 0xAA, 0x82, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x83, 0x57, 0x69, 0x90, 0x76, 0xF3, 0x53, 0x3F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point brainpoolP384r1_T[32] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(brainpoolP384r1_T_0_X, brainpoolP384r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_1_X, brainpoolP384r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_2_X, brainpoolP384r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_3_X, brainpoolP384r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_4_X, brainpoolP384r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_5_X, brainpoolP384r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_6_X, brainpoolP384r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_7_X, brainpoolP384r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_8_X, brainpoolP384r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_9_X, brainpoolP384r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_10_X, brainpoolP384r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_11_X, brainpoolP384r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_12_X, brainpoolP384r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_13_X, brainpoolP384r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_14_X, brainpoolP384r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_15_X, brainpoolP384r1_T_15_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_16_X, brainpoolP384r1_T_16_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_17_X, brainpoolP384r1_T_17_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_18_X, brainpoolP384r1_T_18_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_19_X, brainpoolP384r1_T_19_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_20_X, brainpoolP384r1_T_20_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_21_X, brainpoolP384r1_T_21_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_22_X, brainpoolP384r1_T_22_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_23_X, brainpoolP384r1_T_23_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_24_X, brainpoolP384r1_T_24_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_25_X, brainpoolP384r1_T_25_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_26_X, brainpoolP384r1_T_26_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_27_X, brainpoolP384r1_T_27_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_28_X, brainpoolP384r1_T_28_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_29_X, brainpoolP384r1_T_29_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_30_X, brainpoolP384r1_T_30_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP384r1_T_31_X, brainpoolP384r1_T_31_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define brainpoolP384r1_T NULL
|
|
|
|
#endif
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Domain parameters for brainpoolP512r1 (RFC 5639 3.7)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_p[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0x48, 0x3A, 0x58, 0x56, 0x60, 0xAA, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x85, 0xC6, 0x82, 0x2D, 0x2F, 0xFF, 0x81, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x80, 0xA3, 0xE6, 0x2A, 0xA1, 0xCD, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x68, 0xC6, 0x9B, 0x00, 0x9B, 0x4D, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_a[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x94, 0xFC, 0x77, 0x4D, 0xAC, 0xC1, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xC7, 0xF2, 0x2B, 0xA7, 0x17, 0x11, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0xC8, 0x9A, 0x8B, 0xC9, 0xF1, 0x2E, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x3A, 0x25, 0xA8, 0x5A, 0x5D, 0xED, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0x63, 0x98, 0xEA, 0xCA, 0x41, 0x34, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x16, 0xF9, 0x3D, 0x8D, 0xDD, 0xCB, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x4C, 0x23, 0xAC, 0x45, 0x71, 0x32, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0x3B, 0x60, 0x8B, 0x31, 0xA3, 0x30, 0x78 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_b[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0xF7, 0x16, 0x80, 0x63, 0xBD, 0x09, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0xE5, 0xBA, 0x5E, 0xB7, 0x50, 0x40, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0x3E, 0x08, 0xDC, 0xCA, 0x94, 0xFC, 0x77 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0xAC, 0xC1, 0xE7, 0xB9, 0xC7, 0xF2, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x17, 0x11, 0x7F, 0xB5, 0xC8, 0x9A, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0xF1, 0x2E, 0x0A, 0xA1, 0x3A, 0x25, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x5D, 0xED, 0x2D, 0xBC, 0x63, 0x98, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0x41, 0x34, 0xA8, 0x10, 0x16, 0xF9, 0x3D ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_gx[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_gy[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2015-04-08 12:49:31 +02:00
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_n[] = {
|
2013-12-11 12:03:23 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x69, 0x00, 0xA9, 0x9C, 0x82, 0x96, 0x87, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0xDA, 0x5D, 0x08, 0x81, 0xD3, 0xB1, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x47, 0x10, 0xAC, 0x7F, 0x19, 0x61, 0x86, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x26, 0xA9, 0x4C, 0x41, 0x5C, 0x3E, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x08, 0x33, 0x70, 0xCA, 0x9C, 0x63, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xD2, 0xC9, 0xB3, 0xB3, 0x8D, 0x30, 0xCB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xFC, 0xC9, 0x33, 0xAE, 0xE6, 0xD4, 0x3F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0xC4, 0xE9, 0xDB, 0xB8, 0x9D, 0xDD, 0xAA ),
|
2013-12-06 12:16:10 +01:00
|
|
|
};
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2021-04-08 08:32:06 +02:00
|
|
|
#if MBEDTLS_ECP_FIXED_POINT_OPTIM == 1
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_0_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0xF8, 0xB9, 0xBC, 0x09, 0x22, 0x35, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x5E, 0x6A, 0x40, 0x47, 0x50, 0x6D, 0x7C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0x7D, 0xB9, 0x93, 0x7B, 0x68, 0xD1, 0x50 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xD4, 0xD0, 0xE2, 0x78, 0x1F, 0x3B, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x09, 0xD0, 0xF4, 0xEE, 0x62, 0x3B, 0xB4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC1, 0x16, 0xD9, 0xB5, 0x70, 0x9F, 0xED, 0x85 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x6A, 0x4C, 0x9C, 0x2E, 0x32, 0x21, 0x5A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0xD9, 0x2E, 0xD8, 0xBD, 0xE4, 0xAE, 0x81 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_0_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x08, 0xD8, 0x3A, 0x0F, 0x1E, 0xCD, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x06, 0x54, 0xF0, 0xA8, 0x2F, 0x2B, 0xCA, 0xD1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0x63, 0x27, 0x8A, 0xD8, 0x4B, 0xCA, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x48, 0x5F, 0x4A, 0x49, 0xDE, 0xDC, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0x81, 0x1F, 0x88, 0x5B, 0xC5, 0x00, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x7B, 0xA5, 0x24, 0x00, 0xF7, 0x09, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0x22, 0x78, 0xCF, 0xA9, 0xBF, 0xEA, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0x32, 0x63, 0x56, 0x5D, 0x38, 0xDE, 0x7D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_1_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xE9, 0x6B, 0x8C, 0x6F, 0x9D, 0x88, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x4F, 0x86, 0x96, 0xA7, 0x56, 0xD1, 0x37 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0xAB, 0xFA, 0xEE, 0xA7, 0xF5, 0x0E, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x40, 0xEF, 0x9E, 0x6D, 0xD6, 0x32, 0x33 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0xED, 0x56, 0x14, 0x57, 0x1A, 0x8D, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0xED, 0x4D, 0x3A, 0xFA, 0x71, 0x75, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xC5, 0x76, 0x1C, 0x14, 0xBE, 0xB5, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x5A, 0xCB, 0xE7, 0x36, 0x1D, 0x52, 0x1C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_1_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x8D, 0x7A, 0xEB, 0xA3, 0x8B, 0xD5, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0xA3, 0x41, 0xF8, 0xAC, 0x9E, 0xAB, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x12, 0xE3, 0x65, 0x0D, 0x1C, 0xFE, 0x09, 0x2B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0xCA, 0x13, 0x3F, 0xC5, 0xF9, 0x7E, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0x5D, 0x63, 0x28, 0xA6, 0x89, 0xD3, 0x91 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x95, 0x3F, 0x7A, 0x82, 0xD4, 0x77, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xBB, 0x92, 0x32, 0x00, 0xF4, 0x66, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x58, 0x31, 0xD1, 0x17, 0x9F, 0x2A, 0x22 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_2_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0x36, 0xA9, 0xCD, 0x80, 0xA5, 0x2D, 0x78 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x91, 0x44, 0xAB, 0xCE, 0x71, 0xFF, 0x0C, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0x24, 0x58, 0x35, 0x5A, 0x21, 0x32, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1B, 0xA6, 0x28, 0xF8, 0x7A, 0x97, 0xAE, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0xE7, 0x08, 0xFA, 0x47, 0xC9, 0x55, 0x09 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xAC, 0x2E, 0x84, 0xA4, 0xF5, 0x52, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x58, 0x05, 0x9D, 0xA7, 0xC8, 0x71, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x92, 0xB4, 0x92, 0xC1, 0x92, 0xEC, 0x6B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_2_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4A, 0x48, 0x2D, 0x79, 0x5E, 0x58, 0xE5, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x85, 0x26, 0xEC, 0xE9, 0x6E, 0xD4, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x68, 0x26, 0x87, 0x38, 0xA2, 0xD2, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0x17, 0x60, 0xCE, 0x75, 0xF8, 0xA5, 0x6F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0x51, 0xDB, 0xA9, 0xAE, 0x87, 0xF1, 0x15 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x49, 0x92, 0x3B, 0x19, 0x96, 0xF5, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0xD5, 0x52, 0x52, 0x8C, 0xCE, 0xFD, 0xFA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x18, 0x0A, 0xE6, 0xF6, 0xAE, 0x08, 0x41 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_3_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x2B, 0xD8, 0x54, 0xCE, 0xB0, 0x57, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0xB0, 0xF8, 0x9E, 0x03, 0x03, 0x3C, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x0E, 0x29, 0x29, 0x00, 0xF3, 0x70, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0x33, 0x99, 0x0E, 0x00, 0x5D, 0xFE, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0x2D, 0xF2, 0x59, 0x32, 0xCF, 0x03, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0xC9, 0x72, 0xAE, 0x0C, 0xEF, 0xD1, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x5A, 0x27, 0xBF, 0x2F, 0x45, 0xF9, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD4, 0xBE, 0xE5, 0x2C, 0xFF, 0x5B, 0x1E, 0x88 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_3_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0xAC, 0xBB, 0xD8, 0x83, 0xC2, 0x46, 0xF6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0xDC, 0xCE, 0x15, 0xB4, 0xEF, 0xCF, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0xDB, 0x5E, 0x94, 0x31, 0x0B, 0xB2, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0xB9, 0xE3, 0xE3, 0x11, 0x71, 0x41, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0xE3, 0x01, 0xB7, 0x7D, 0xBC, 0x65, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x07, 0x65, 0x87, 0xA7, 0xE8, 0x48, 0xE3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0x48, 0x8F, 0xD4, 0x30, 0x8E, 0xB4, 0x6C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0xE0, 0x73, 0xBE, 0x1E, 0xBF, 0x56, 0x36 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_4_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xFE, 0x0E, 0x5E, 0x87, 0xC5, 0xAB, 0x0E, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0xF9, 0x5F, 0x80, 0x24, 0x4C, 0x2A, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDE, 0x15, 0x21, 0x54, 0x92, 0x84, 0x8D, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA8, 0x8A, 0x47, 0x74, 0xDC, 0x42, 0xB1, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0xF7, 0x30, 0xFD, 0xC1, 0x9B, 0x0C, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x6C, 0xCC, 0xDF, 0xC5, 0xE3, 0xA9, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x67, 0x59, 0x10, 0x5C, 0x51, 0x54, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x37, 0xFB, 0x6E, 0xB0, 0x78, 0x63, 0x8E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_4_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0xEF, 0xC4, 0x39, 0x20, 0xF1, 0x46, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0x62, 0xAE, 0xFF, 0x10, 0xE4, 0xE2, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x5C, 0xF5, 0x2E, 0x22, 0x89, 0xE5, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0x0C, 0x29, 0xA8, 0x62, 0xAE, 0xDB, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0x9E, 0x0F, 0xCA, 0x87, 0x2A, 0x6F, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCE, 0xDC, 0x9B, 0x9F, 0x65, 0xD4, 0xAD, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0xC3, 0x08, 0x0F, 0xCF, 0x67, 0xE9, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x5C, 0xD7, 0xFF, 0x41, 0x9C, 0xCB, 0x26 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_5_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x25, 0x05, 0x12, 0xAD, 0x73, 0x63, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0x99, 0x07, 0x86, 0x57, 0xE7, 0x94, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x00, 0x4B, 0xA5, 0xBF, 0x18, 0xA9, 0xEF, 0x6A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0x4C, 0xC4, 0x09, 0xF2, 0x2F, 0x0C, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0x3A, 0x04, 0xEA, 0x89, 0x6C, 0x91, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x6C, 0x3A, 0xE7, 0xA3, 0xEC, 0x24, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xA1, 0x26, 0x21, 0x04, 0xE3, 0xB9, 0x40 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0x71, 0x4B, 0x7B, 0xC2, 0x89, 0xCD, 0xA2 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_5_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB7, 0xB9, 0xA8, 0x9D, 0xFD, 0x00, 0x3A, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x41, 0x6C, 0xBB, 0x5A, 0xCA, 0x1F, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0xD7, 0xE2, 0x6C, 0x6B, 0xA7, 0x48, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x19, 0xAD, 0xA7, 0xC1, 0x7E, 0x4F, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0xF7, 0x19, 0x3C, 0x06, 0x74, 0x2C, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x23, 0x4F, 0x0C, 0x09, 0xB0, 0x80, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4E, 0x74, 0x34, 0x08, 0x44, 0x7E, 0xA3, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xCC, 0x8D, 0x12, 0x6E, 0xE1, 0x3D, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_6_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x18, 0xB1, 0x71, 0x02, 0x93, 0xC2, 0xA4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x89, 0x40, 0xE2, 0x1F, 0xE7, 0x5E, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x8E, 0xAE, 0x89, 0x01, 0xD4, 0x0C, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAE, 0xDA, 0x58, 0x70, 0x24, 0xF2, 0xE4, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0xC7, 0x1D, 0xD6, 0x4A, 0x6F, 0x66, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x1D, 0x7E, 0x4A, 0x2C, 0xCA, 0xEC, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA1, 0x06, 0x7F, 0xA8, 0x99, 0xE4, 0xD3, 0x4E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x1D, 0x5A, 0xDF, 0x5E, 0x58, 0x36, 0x49 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_6_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0xB9, 0x32, 0x69, 0x1F, 0x72, 0x2A, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0x73, 0xE2, 0x03, 0x39, 0x35, 0xAA, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x5E, 0x5D, 0x48, 0xEF, 0xAE, 0x30, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x7F, 0x60, 0x19, 0xAF, 0xEC, 0x9D, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCA, 0xD9, 0x19, 0xE4, 0x1B, 0x56, 0x15, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xD7, 0x33, 0x59, 0x1F, 0x43, 0x59, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0xCE, 0xEE, 0xCA, 0xA4, 0x7F, 0x63, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBD, 0x40, 0xC0, 0xF6, 0x19, 0x89, 0x43, 0x20 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_7_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x92, 0xEA, 0x07, 0x65, 0x79, 0x86, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0xB7, 0x13, 0x75, 0xD3, 0xC5, 0x0A, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x9E, 0xFA, 0xE1, 0x1F, 0x0C, 0xF9, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x8C, 0xED, 0x5C, 0x21, 0xE9, 0x09, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0x4D, 0xD8, 0x18, 0xC4, 0xF6, 0x36, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0xC9, 0xAC, 0x5C, 0xFA, 0x69, 0xA4, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0x8C, 0x94, 0x1C, 0x7B, 0x71, 0x36, 0x58 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0xBD, 0x46, 0xCE, 0xB7, 0x1D, 0x9C, 0x5E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_7_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xD6, 0x96, 0x4B, 0xA6, 0x47, 0xEB, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0xF1, 0x5F, 0x15, 0xDE, 0x99, 0x6F, 0x66 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xBD, 0xE5, 0x04, 0xB8, 0xE6, 0xC0, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x49, 0xD3, 0xF0, 0x04, 0x00, 0xE4, 0x05, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xF3, 0x06, 0xA3, 0x1A, 0xFF, 0xEA, 0x73 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x32, 0xAA, 0x99, 0x33, 0x09, 0xB6, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0xEF, 0xFC, 0x61, 0x10, 0x42, 0x31, 0x94 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0xF1, 0xF4, 0x33, 0xCF, 0x28, 0x90, 0x9C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_8_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xDE, 0xF9, 0x88, 0x87, 0x7B, 0xEB, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0xB8, 0xDA, 0xFA, 0xDA, 0x3D, 0xA6, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0xF0, 0x62, 0x82, 0x53, 0x32, 0x55, 0x03 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xA5, 0x32, 0x4A, 0x19, 0x11, 0x9C, 0x10 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xB3, 0x27, 0xE9, 0x75, 0x90, 0x05, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x1C, 0x90, 0x48, 0x77, 0x01, 0x85, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0xD6, 0x9B, 0x84, 0xA8, 0xD7, 0xC5, 0x28 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x7A, 0xCB, 0xB3, 0x11, 0x46, 0xD7, 0x99 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_8_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0x23, 0xBF, 0x75, 0x75, 0xA1, 0x95, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4B, 0x66, 0x5D, 0x34, 0x13, 0xA9, 0x03, 0xBE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x80, 0x9D, 0x5F, 0xD2, 0x44, 0xE1, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x5D, 0xBD, 0xA8, 0xBF, 0xB4, 0x25, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x99, 0x1F, 0x53, 0xF1, 0x57, 0xDB, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x7C, 0xE5, 0xC5, 0x51, 0x0B, 0x4C, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6B, 0xB0, 0x1A, 0x9C, 0x16, 0xB0, 0x32, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0xE3, 0xCF, 0xDD, 0x48, 0xB4, 0x7B, 0x33 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_9_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0xDD, 0x9E, 0x3C, 0x98, 0x0E, 0x77, 0x65 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0xAB, 0x01, 0xD3, 0x87, 0x74, 0x25, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0xA3, 0xE3, 0x76, 0x43, 0x87, 0x12, 0xBD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x54, 0xB1, 0x3B, 0x60, 0x66, 0xEB, 0x98, 0x54 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x78, 0xC8, 0xD7, 0x4E, 0x75, 0xCA, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xDF, 0x71, 0x19, 0xE7, 0x07, 0x36, 0xB5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0xC9, 0xA8, 0x5F, 0x91, 0xBF, 0x47, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x96, 0x58, 0x96, 0x18, 0xB6, 0xFA, 0x01 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_9_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x2D, 0xA9, 0x9B, 0x86, 0xDB, 0x0C, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x0B, 0x2D, 0x56, 0x4A, 0xD3, 0x93, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x15, 0xE2, 0x65, 0x12, 0x86, 0x0E, 0xB2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x41, 0x4D, 0xC1, 0xCB, 0xE4, 0xC3, 0xD7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x53, 0x10, 0xCA, 0xA3, 0xAC, 0x83, 0x26 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x01, 0x22, 0x96, 0x10, 0xAD, 0x69, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x42, 0x46, 0x4E, 0xD8, 0xEA, 0xD6, 0x9D, 0xF3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x2F, 0x7F, 0x62, 0x62, 0x80, 0xD0, 0x14 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_10_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0xDA, 0x00, 0x63, 0x09, 0xBD, 0x6A, 0x83 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0F, 0xD4, 0x6E, 0x48, 0x05, 0xB7, 0xF7, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0x4D, 0xD7, 0x00, 0x4A, 0x15, 0x27, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x15, 0xAA, 0x37, 0x27, 0x34, 0x18, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x20, 0x2C, 0x84, 0x1B, 0x88, 0xBA, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x09, 0xD6, 0x04, 0xA2, 0x60, 0x84, 0x72 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0x04, 0x94, 0x08, 0xD4, 0xED, 0x47, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0xF3, 0xE4, 0x3E, 0xB9, 0x5B, 0x35, 0x42 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_10_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5F, 0xD8, 0xB6, 0x80, 0xD6, 0xF1, 0x30, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x14, 0xA6, 0x85, 0xEE, 0xA7, 0xD8, 0x61 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x49, 0x2A, 0x1E, 0x7C, 0xE9, 0x2D, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3A, 0x87, 0x56, 0x91, 0x03, 0x77, 0x4D, 0x55 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0x52, 0xD4, 0xAA, 0xF7, 0xFA, 0xB0, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x5D, 0x11, 0x39, 0xB1, 0xE7, 0x76, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x13, 0xBC, 0x37, 0x5D, 0x74, 0xCD, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x48, 0x14, 0x23, 0x30, 0xF8, 0x46, 0x37 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_11_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x27, 0xB0, 0xD9, 0xB2, 0x74, 0xB4, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEA, 0xA6, 0xB9, 0x6F, 0x9F, 0x64, 0x36, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2E, 0x2B, 0x78, 0x40, 0x05, 0x2B, 0x7B, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x68, 0x3A, 0xB6, 0x4A, 0xE2, 0xDB, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1E, 0x33, 0xD7, 0x34, 0x8B, 0x25, 0x45, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0xCE, 0xA8, 0xC9, 0x01, 0xFB, 0x0E, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0xF9, 0x51, 0x4C, 0x12, 0x9F, 0x60, 0xE4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0x85, 0xBD, 0x30, 0x37, 0x84, 0x39, 0x44 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_11_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x26, 0x33, 0xAF, 0x2E, 0xB8, 0x2E, 0xCC, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0xB1, 0x73, 0x59, 0x4E, 0x0C, 0x09, 0x4A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0x24, 0x89, 0x81, 0x12, 0xFF, 0xBB, 0x6E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x71, 0x37, 0x1A, 0x66, 0xEE, 0xED, 0xB6, 0x9B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0xBD, 0x04, 0x20, 0x5D, 0xFB, 0xBF, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0xF8, 0x34, 0xA3, 0xFF, 0x45, 0xDE, 0x92 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x18, 0x73, 0xF1, 0x32, 0x25, 0x58, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0xC1, 0x14, 0xE3, 0x9E, 0x40, 0x0F, 0x12 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_12_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x07, 0x9D, 0x9C, 0x00, 0xF7, 0x56, 0x19 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0xBA, 0x87, 0xF9, 0x15, 0x0C, 0x66, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0x1F, 0xC1, 0x28, 0xB0, 0x47, 0x0D, 0xF5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0xCA, 0x27, 0xEE, 0x4B, 0x23, 0x2B, 0x89 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7E, 0xB5, 0x68, 0xC8, 0x17, 0x5D, 0xC3, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0x02, 0x08, 0xEE, 0x20, 0x9D, 0xEA, 0x64 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x14, 0x50, 0xD4, 0x7D, 0x5F, 0xCF, 0xA0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0xFA, 0xF8, 0xA7, 0xC6, 0xDC, 0x14, 0x8C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_12_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x76, 0xBD, 0x0A, 0x1A, 0x18, 0x98, 0xDC, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x63, 0x63, 0x02, 0xB7, 0xD5, 0x5B, 0x5A, 0xC6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0xB1, 0xD7, 0x4B, 0x15, 0x39, 0x61, 0x5D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0x32, 0xE1, 0x9E, 0x70, 0x1B, 0xCE, 0x51 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x64, 0xD8, 0x18, 0x83, 0x52, 0x9B, 0x6D, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x55, 0x56, 0x19, 0x34, 0xA4, 0xEA, 0xFC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0xA9, 0x55, 0x80, 0xE3, 0x15, 0x36, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0x06, 0xC8, 0x1D, 0x17, 0x0D, 0xAD, 0x16 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_13_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0xD6, 0xF0, 0xCC, 0xF3, 0x63, 0x53, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x5A, 0xDC, 0x46, 0xBD, 0x0D, 0xAD, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0x2F, 0x11, 0x60, 0x15, 0x51, 0x4A, 0xEA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0xE3, 0x93, 0x38, 0xD5, 0x83, 0xAA, 0x0D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x90, 0xA6, 0xCC, 0xB1, 0xFD, 0xBB, 0x1A, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3B, 0x54, 0xC8, 0x54, 0x6F, 0x79, 0x1A, 0x59 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x4A, 0xDA, 0x28, 0x92, 0x97, 0x9D, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD6, 0x4B, 0xDB, 0xC7, 0x52, 0xC5, 0x66, 0x34 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_13_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x7E, 0x92, 0x53, 0x30, 0x93, 0xFD, 0xFF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x16, 0x6A, 0xB1, 0x91, 0x0A, 0xB4, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6D, 0x9D, 0x40, 0x3F, 0xE3, 0xF1, 0x01, 0x46 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x0E, 0xD8, 0xED, 0x11, 0x8E, 0x4C, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x86, 0x4A, 0x1B, 0x88, 0xDF, 0x8D, 0x29, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x23, 0x21, 0x11, 0xAB, 0x77, 0x81, 0x62 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0B, 0xAF, 0x11, 0xFA, 0xBA, 0x40, 0x63, 0xE7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0x6F, 0x8D, 0x80, 0xDF, 0x67, 0xF5, 0x44 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_14_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0x8B, 0xB7, 0x08, 0xF4, 0xD7, 0x2D, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0x2B, 0x30, 0x02, 0x45, 0x71, 0x08, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x97, 0x3A, 0xCA, 0x50, 0xF6, 0xC2, 0x19, 0x8C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xB9, 0x9B, 0x3E, 0x73, 0x95, 0x1D, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x60, 0x59, 0x48, 0xCB, 0xD8, 0xD6, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0xB9, 0x6C, 0x89, 0xAB, 0x99, 0xA8, 0xF8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0xA1, 0x8B, 0x4E, 0x06, 0x19, 0xEC, 0x99 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x95, 0x04, 0xCF, 0xD5, 0x94, 0xB3, 0x02 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_14_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x29, 0x35, 0x93, 0x7C, 0xB3, 0xB8, 0x9E, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC4, 0x45, 0x5C, 0x7E, 0xBF, 0x75, 0x81, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0xE8, 0x24, 0xDF, 0xEC, 0x2F, 0x7D, 0xB9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF2, 0x8B, 0xD5, 0x6A, 0x9B, 0xA0, 0xE0, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0xE3, 0x27, 0x82, 0xDE, 0xDD, 0xCA, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x57, 0x56, 0x46, 0x05, 0x06, 0x01, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x74, 0x35, 0xA7, 0x47, 0xE2, 0x6B, 0x2C, 0x4F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x9D, 0x4C, 0xEC, 0x1F, 0x11, 0x75, 0x2B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_15_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0xAA, 0x41, 0xC1, 0xE9, 0x0E, 0xE9, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0xCF, 0x9C, 0x4B, 0xE8, 0xED, 0x0A, 0x49 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0x73, 0xCA, 0x0C, 0x46, 0x0A, 0x9C, 0xE4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xE1, 0x9E, 0xBC, 0xFE, 0x44, 0x63, 0x6D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x31, 0x43, 0x71, 0xEE, 0xF8, 0xC1, 0x8C, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6A, 0x4B, 0xF0, 0x69, 0x25, 0xBD, 0x71, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFD, 0x9A, 0xFE, 0x82, 0xE7, 0xC1, 0xC1, 0xEE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFC, 0x5A, 0x6E, 0x5E, 0x97, 0x6A, 0x35, 0x8D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_15_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA2, 0x18, 0x6C, 0x7E, 0xB8, 0x9E, 0x57, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x35, 0xB9, 0xC1, 0xD0, 0xFE, 0x78, 0xFB, 0x32 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x08, 0xAE, 0x46, 0x34, 0xEA, 0x7A, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x1C, 0x56, 0xA9, 0x18, 0x37, 0xD4, 0x9E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x28, 0x63, 0xE9, 0x0A, 0xB6, 0x38, 0x3C, 0xC1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3E, 0x4F, 0xA4, 0x6E, 0x85, 0x31, 0x23, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0D, 0xAD, 0xC4, 0xC3, 0xB1, 0x4B, 0x1C, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x56, 0x4A, 0x38, 0xB3, 0x6B, 0x6F, 0x2C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_16_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x67, 0xC7, 0x19, 0xDE, 0x21, 0xED, 0x89, 0xD0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2F, 0xBE, 0xA6, 0xAE, 0xEB, 0x9D, 0xA7, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x0E, 0x13, 0x1E, 0x86, 0x57, 0xC3, 0x3B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x4B, 0x30, 0x46, 0x52, 0xC1, 0xEC, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6E, 0xD5, 0x44, 0x31, 0x96, 0x3B, 0x26, 0x27 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x68, 0xA8, 0x67, 0x78, 0x39, 0xE8, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0x78, 0xB7, 0xDD, 0xF2, 0x58, 0xB6, 0x3D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x81, 0x3C, 0xB3, 0x26, 0xC4, 0x2C, 0x8C, 0xA5 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_16_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB9, 0x24, 0xE5, 0x73, 0xEE, 0x9A, 0x02, 0xA9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0x6A, 0x65, 0x60, 0xF3, 0x62, 0xE3, 0xE9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFB, 0x07, 0x84, 0xE6, 0x3B, 0x46, 0x65, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0x8F, 0x0C, 0xB0, 0xE1, 0x04, 0x82, 0x9D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEB, 0x13, 0xBF, 0x3D, 0xA0, 0x48, 0xA2, 0x74 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0x26, 0x76, 0x74, 0xAB, 0x0B, 0x29, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x30, 0x6E, 0x5F, 0x03, 0x34, 0x7C, 0x38, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0x72, 0xF9, 0x3B, 0x3C, 0xA4, 0xBC, 0x7C ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_17_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x5C, 0xCE, 0x18, 0x80, 0xB8, 0x24, 0x45, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x09, 0x03, 0xB8, 0x06, 0x64, 0xF7, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF1, 0x26, 0xB1, 0x10, 0x6D, 0x71, 0x12, 0x2E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x12, 0xC6, 0x6E, 0x1E, 0x6A, 0xC3, 0x80 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE5, 0xD3, 0x0A, 0xDE, 0xD8, 0x6B, 0x04, 0x5C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x87, 0x5B, 0xAE, 0xDB, 0x3C, 0xC0, 0xC5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8E, 0xF5, 0xF9, 0xC1, 0x9A, 0x89, 0xBB, 0x7E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xED, 0x69, 0x72, 0x8B, 0xAE, 0x32, 0x13, 0x11 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_17_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x16, 0x07, 0x50, 0xFA, 0x4C, 0xCF, 0xE8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x50, 0x21, 0xE9, 0xDE, 0xEC, 0x7E, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x2F, 0xE8, 0x83, 0x30, 0x0B, 0x65, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x0B, 0x99, 0xAC, 0xC9, 0xBA, 0x6C, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x59, 0x5A, 0x0D, 0x7B, 0x9E, 0x08, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x34, 0x91, 0xB2, 0xDC, 0x90, 0xCE, 0x67, 0xED ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x93, 0x60, 0x0C, 0xD7, 0x1F, 0x2F, 0x17 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x19, 0x7F, 0x9D, 0x40, 0xF8, 0x78, 0x7A, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_18_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x13, 0x22, 0x95, 0xE8, 0xEF, 0x31, 0x57, 0x35 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0x88, 0x53, 0xFE, 0xAF, 0x7C, 0x47, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xCE, 0xCC, 0x79, 0xE8, 0x9F, 0x8C, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDB, 0x16, 0xDD, 0x77, 0x6E, 0x8A, 0x73, 0x97 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x07, 0x97, 0x21, 0x3B, 0xF8, 0x5F, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC6, 0xB5, 0xD2, 0x81, 0x84, 0xF0, 0xE7, 0x9F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCB, 0x8F, 0x75, 0x09, 0x6A, 0x0E, 0x53, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x4F, 0x70, 0x97, 0xC7, 0xAC, 0x7D, 0x3F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_18_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF9, 0x3C, 0x6A, 0xB4, 0x10, 0xA9, 0xC8, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0xC5, 0xD6, 0x69, 0x16, 0xB8, 0xAC, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x44, 0xDC, 0xEB, 0x48, 0x54, 0x5D, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6F, 0x48, 0x9B, 0xD7, 0x72, 0x69, 0xA4, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x0D, 0x36, 0x9A, 0x66, 0x0B, 0xEC, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0xC6, 0xD4, 0xB6, 0x60, 0xE5, 0xC3, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBA, 0x29, 0x42, 0xE0, 0x9D, 0xFD, 0x7C, 0x3E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x10, 0xBA, 0x55, 0xBC, 0x3B, 0x38, 0x5D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_19_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x25, 0x66, 0xFA, 0x05, 0x73, 0x03, 0x1B, 0x69 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x11, 0xA4, 0x66, 0x12, 0x96, 0x7B, 0x02, 0x4C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x44, 0xB5, 0xDE, 0x6D, 0x98, 0xD1, 0xD5, 0xA8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE2, 0xF5, 0x44, 0xB8, 0x8E, 0xF6, 0x8C, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x15, 0x2B, 0x72, 0xBC, 0x49, 0xE5, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x6C, 0x44, 0xD7, 0xDF, 0x8F, 0xEB, 0x8D, 0x80 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x64, 0x88, 0xAA, 0xB7, 0xE4, 0x70, 0x1D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9C, 0x14, 0xBB, 0xE9, 0x9B, 0xB9, 0x65, 0x5D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_19_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x66, 0x8E, 0x88, 0xF5, 0xF1, 0xC1, 0x89, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x16, 0x30, 0x53, 0xE6, 0xFB, 0x2D, 0x82, 0xB4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0xE4, 0xFF, 0xBA, 0x31, 0x79, 0xAB, 0xC2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x45, 0x09, 0xF7, 0xB7, 0x09, 0x78, 0x4C, 0x90 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xAE, 0xC2, 0x44, 0xDC, 0x17, 0x78, 0x47 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0xD4, 0x17, 0x43, 0x19, 0x74, 0x9E, 0x23 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x64, 0x3B, 0x73, 0xA2, 0x99, 0x27, 0x76 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x74, 0x36, 0x5F, 0xD3, 0x14, 0xB1, 0x31 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_20_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAC, 0x07, 0xAB, 0xFD, 0x9B, 0x03, 0xC5, 0xD5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0xBE, 0xB0, 0x1D, 0xF2, 0x0C, 0x73, 0x73 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xE7, 0x7B, 0x87, 0xD3, 0x34, 0xFD, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9A, 0x25, 0x3D, 0xC7, 0x36, 0x83, 0x53, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0x7C, 0xCF, 0x63, 0x55, 0x12, 0x11, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC0, 0x34, 0x4D, 0x27, 0x92, 0xAC, 0x18, 0x16 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x42, 0x61, 0x9D, 0x2E, 0xFF, 0x13, 0x16 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF4, 0xDE, 0x92, 0x65, 0x57, 0x0D, 0xBC, 0x0A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_20_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xEF, 0x7B, 0x6E, 0xC6, 0x2A, 0x21, 0x74, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0xA7, 0x53, 0x4D, 0x29, 0x36, 0xEF, 0xE5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE1, 0xD6, 0x41, 0xC7, 0x99, 0xAD, 0x50, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x99, 0xAC, 0x41, 0x9F, 0xFB, 0x4C, 0x86, 0xF1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0xBB, 0xE6, 0x25, 0x28, 0xAA, 0xEB, 0x1E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x92, 0x04, 0xA2, 0xC3, 0xAA, 0x08, 0x8A, 0xCC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x2B, 0x5B, 0xE2, 0x8D, 0x76, 0xEA, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB3, 0x33, 0xD2, 0x21, 0x4D, 0x62, 0xE3, 0x8E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_21_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0x06, 0x8B, 0x2B, 0xC2, 0xC4, 0xB1, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFA, 0xF5, 0xA1, 0xC0, 0x03, 0x6A, 0x29, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF5, 0xA9, 0xEF, 0x55, 0xB6, 0x1A, 0x9F, 0x6B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9B, 0x54, 0x32, 0xBE, 0x06, 0x43, 0xB5, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF7, 0xD6, 0xD9, 0x20, 0x89, 0xBE, 0xD4, 0x1B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0x26, 0x95, 0x10, 0xCE, 0xB4, 0x88, 0x79 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0xA6, 0x27, 0xAC, 0x32, 0xBA, 0xBD, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0xA6, 0xAE, 0x9C, 0x7B, 0xBE, 0xA1, 0x63 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_21_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8B, 0xCD, 0x4D, 0x3D, 0xDF, 0x96, 0xBB, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0xA7, 0x11, 0x06, 0xCC, 0x0E, 0x31, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x20, 0xE4, 0xF4, 0xAD, 0x7B, 0x5F, 0xF1, 0xEF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE4, 0x54, 0xBE, 0xF4, 0x8A, 0x03, 0x47, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0x53, 0x00, 0x7F, 0xB0, 0x8A, 0x68, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x16, 0xB1, 0x73, 0x6F, 0x5B, 0x0E, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x32, 0xE3, 0x43, 0x64, 0x75, 0xFB, 0xFB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x18, 0x55, 0x8A, 0x4E, 0x6E, 0x35, 0x54 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_22_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x80, 0x97, 0x15, 0x1E, 0xCB, 0xF2, 0x9C, 0xA5 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0xD1, 0xBB, 0xF3, 0x70, 0xAD, 0x13, 0xAD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0x96, 0xA4, 0xC5, 0x5E, 0xDA, 0xD5, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x81, 0xE9, 0x65, 0x66, 0x76, 0x47, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x35, 0x87, 0x06, 0x73, 0xCF, 0x34, 0xD2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x81, 0x15, 0x42, 0xA2, 0x79, 0x5B, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x08, 0xA2, 0x7D, 0x09, 0x14, 0x64, 0xC6, 0xAE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0x6D, 0xC4, 0xED, 0xF1, 0xD6, 0xE9, 0x24 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_22_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xB4, 0xD5, 0xBB, 0x25, 0xA3, 0xDD, 0xA3, 0x88 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0xF2, 0x68, 0x67, 0x39, 0x8F, 0x73, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x76, 0x28, 0x89, 0xAD, 0x32, 0xE0, 0xDF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0x90, 0xCC, 0x57, 0x58, 0xAA, 0xC9, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0xD7, 0x43, 0xD2, 0xCE, 0x5E, 0xA0, 0x08 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x33, 0xB0, 0xB8, 0xA4, 0x9E, 0x96, 0x26, 0x86 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x94, 0x61, 0x1D, 0xF3, 0x65, 0x5E, 0x60, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC7, 0x1E, 0x65, 0xED, 0xCF, 0x07, 0x60, 0x20 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_23_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x30, 0x17, 0x8A, 0x91, 0x88, 0x0A, 0xA4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x05, 0x7D, 0x18, 0xA4, 0xAC, 0x59, 0xFC, 0x5F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x31, 0x8B, 0x25, 0x65, 0x39, 0x9A, 0xDC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x15, 0x16, 0x4B, 0x68, 0xBA, 0x59, 0x13, 0x2F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8D, 0xFD, 0xD3, 0xC5, 0x56, 0xC9, 0x8C, 0x5E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBC, 0xC6, 0x9F, 0xF4, 0xE6, 0xF7, 0xB4, 0x01 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2D, 0x7C, 0x03, 0x00, 0x26, 0x9F, 0xD8, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x1D, 0x6E, 0x00, 0xB9, 0x00, 0x6E, 0x93 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_23_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x63, 0xDA, 0x03, 0x2B, 0xD5, 0x0B, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x46, 0xFC, 0xE2, 0xC8, 0x47, 0xF0, 0xAE, 0xF2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x51, 0x4C, 0xF7, 0x50, 0x0C, 0x48, 0x06, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDF, 0x2B, 0x32, 0x98, 0x0E, 0x7E, 0x61, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x02, 0x27, 0xFE, 0x75, 0x86, 0xDF, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2B, 0x30, 0xB1, 0x22, 0x32, 0x1B, 0xFE, 0x24 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC2, 0x27, 0xF7, 0x78, 0x6F, 0xD7, 0xFD, 0xE4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA0, 0x78, 0xCC, 0xEA, 0xC0, 0x50, 0x24, 0x44 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_24_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x2B, 0x4F, 0x7F, 0x58, 0xE6, 0xC2, 0x70 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x43, 0xD5, 0xA7, 0x35, 0x3C, 0x80, 0xB8 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1A, 0x6D, 0x4B, 0x12, 0x00, 0x7B, 0xE6, 0xA6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x15, 0xBD, 0xD0, 0x9B, 0xCA, 0xAA, 0x81 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xCF, 0xCE, 0x9C, 0xE3, 0x8B, 0x60, 0x7A, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0xDA, 0x4B, 0x03, 0xA7, 0x8D, 0x43, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0xAF, 0x00, 0x2B, 0x32, 0xF0, 0x22, 0x68 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDC, 0xD9, 0x99, 0x99, 0xBE, 0x43, 0x99, 0x3E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_24_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x1F, 0x71, 0x41, 0xF4, 0xB5, 0xFD, 0xDD, 0x36 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9D, 0xE2, 0x20, 0x4C, 0xD1, 0x2E, 0x1F, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x96, 0x43, 0x48, 0x76, 0x8A, 0x49, 0xAC, 0x87 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0C, 0x1A, 0x55, 0xA8, 0xA3, 0xD4, 0x57, 0x75 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0xA6, 0x84, 0x39, 0xC9, 0x13, 0xBB, 0x60 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD9, 0xFA, 0xA9, 0x70, 0xDE, 0x83, 0xDD, 0xC9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEC, 0xC9, 0xD9, 0x3E, 0x44, 0x91, 0x68, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB6, 0x9F, 0x85, 0x6D, 0xF7, 0x54, 0x36, 0x82 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_25_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x68, 0x6B, 0xA6, 0xA3, 0xE5, 0xD4, 0x46, 0xDB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0x3E, 0xDC, 0x84, 0x7C, 0x7B, 0x24, 0x34 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x14, 0xED, 0x7F, 0x86, 0x07, 0x6C, 0x57, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x95, 0x06, 0xFE, 0x52, 0x12, 0x79, 0x69, 0x56 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x84, 0xD1, 0x44, 0x5F, 0x21, 0x3A, 0xC3, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5E, 0xD9, 0x4A, 0xC0, 0x75, 0xAB, 0x17, 0xAC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xFF, 0x81, 0x94, 0xB6, 0x80, 0x6B, 0x6F, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xBE, 0x8E, 0xA5, 0xAA, 0xBC, 0x1E, 0x3E ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_25_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x89, 0xC7, 0x85, 0xA6, 0x59, 0x9B, 0xB1, 0x52 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0xCE, 0x40, 0xD1, 0xFB, 0xDF, 0x94, 0xF7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x18, 0xB8, 0x5E, 0xBF, 0x45, 0xA8, 0x2D, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x98, 0x9C, 0x06, 0x1B, 0xA9, 0x57, 0xB9, 0x79 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x53, 0xE9, 0xCE, 0xA2, 0xD3, 0x74, 0xA1, 0x3C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAA, 0x5F, 0x34, 0x78, 0xDB, 0xAE, 0x3A, 0x14 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7D, 0x32, 0x84, 0x3E, 0x68, 0x6A, 0x43, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0xBC, 0x39, 0x36, 0xA4, 0xC5, 0xBB, 0x11 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_26_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x8C, 0x07, 0xA2, 0xB5, 0xC9, 0x0F, 0x4D, 0x0F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0x1D, 0x67, 0xE6, 0xF1, 0x46, 0xEB, 0x71 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD7, 0x41, 0x23, 0x95, 0xE7, 0xE0, 0x10, 0xDD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x69, 0xFE, 0x68, 0x8C, 0xC6, 0x5F, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE3, 0xB9, 0x2B, 0x3D, 0xD2, 0x4F, 0xD8, 0x1A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA3, 0x09, 0xF5, 0x5F, 0xCF, 0xF6, 0x91, 0x57 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x65, 0x15, 0x42, 0x6B, 0x6D, 0xB5, 0xF3, 0xB6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBF, 0x56, 0x9D, 0xC5, 0xFF, 0xCA, 0x13, 0x9B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_26_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x4D, 0x38, 0xE6, 0x23, 0x63, 0x48, 0x3C, 0xCA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD2, 0x68, 0x3C, 0xD1, 0x3B, 0xE9, 0x3B, 0x82 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB5, 0x08, 0x54, 0x49, 0xD1, 0x46, 0x45, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x70, 0x52, 0x6E, 0x79, 0xC4, 0x5E, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0xDF, 0xE8, 0x5A, 0x32, 0x81, 0xDA, 0xD3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3C, 0x2D, 0x94, 0x5B, 0xB5, 0x35, 0x9F, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2A, 0x12, 0x8D, 0xC3, 0x36, 0x36, 0xB2, 0x2A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x39, 0x2F, 0x22, 0x38, 0x5B, 0x18, 0x4C, 0x35 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_27_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0xC1, 0x22, 0x0E, 0xF0, 0x73, 0x11, 0x05 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB2, 0xAE, 0xA4, 0x56, 0x18, 0x61, 0x66, 0x12 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x79, 0xFB, 0x72, 0x08, 0x84, 0x38, 0x51, 0xB0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDA, 0x86, 0xA8, 0xB9, 0x31, 0x99, 0x29, 0xC3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x8A, 0xFB, 0xC3, 0x42, 0xB3, 0xC7, 0x6F, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD8, 0xF8, 0xE1, 0x09, 0xBE, 0x75, 0xB0, 0x22 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5A, 0x7D, 0xFF, 0xF4, 0x99, 0xFC, 0x13, 0xAB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE6, 0x1B, 0x84, 0x81, 0x42, 0x22, 0xC6, 0x3D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_27_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x21, 0xE0, 0x37, 0xA4, 0xA0, 0x2F, 0x38, 0x7F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x3D, 0xB7, 0x40, 0x2F, 0x39, 0x3C, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7A, 0x3B, 0x8A, 0x51, 0xAE, 0x40, 0x49, 0x7A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x36, 0x20, 0x9F, 0xDD, 0xA9, 0xD0, 0x77, 0xC7 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x78, 0x1D, 0x64, 0xDA, 0xA0, 0x53, 0xC7, 0x7D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x37, 0x7B, 0x66, 0x55, 0x94, 0xD1, 0x51, 0x44 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0E, 0xA9, 0xB5, 0x5B, 0x38, 0x35, 0x40, 0xC0 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC8, 0xC9, 0x0F, 0xF0, 0x73, 0x79, 0x43, 0x61 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_28_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x47, 0x45, 0x69, 0x80, 0x72, 0x72, 0x42 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x11, 0x99, 0x59, 0xDB, 0x48, 0x80, 0x39 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x75, 0x6E, 0x3D, 0xFC, 0x37, 0x15, 0xF4, 0xBF ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x17, 0xBB, 0x5B, 0xA6, 0x35, 0x8D, 0x28, 0x20 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0x1A, 0x3B, 0x2C, 0x8F, 0xD3, 0xAA, 0x2D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x55, 0x1C, 0x1A, 0xF8, 0x02, 0xD9, 0x7B, 0x41 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAF, 0x69, 0xAC, 0xF8, 0x54, 0x31, 0x14, 0xA1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x8A, 0xE6, 0xDE, 0x58, 0xB9, 0xC4, 0x7A ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_28_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x57, 0x83, 0x52, 0xFE, 0xF9, 0x7B, 0xE9, 0x1F ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0xA2, 0x55, 0x46, 0x15, 0x49, 0xC1, 0x3A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0xBC, 0x5C, 0x91, 0xBD, 0xB9, 0x9C, 0xF4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBB, 0xFD, 0xB1, 0x4E, 0x5F, 0x74, 0xEE, 0x53 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xB1, 0x8B, 0xD8, 0x8B, 0x17, 0x73, 0x1B, 0x96 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x22, 0x92, 0xD7, 0x67, 0x06, 0xAD, 0x25, 0xCD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x01, 0x0F, 0x80, 0x24, 0xE2, 0x27, 0x5F, 0x8B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x61, 0x1C, 0xCE, 0xD0, 0x67, 0xCA, 0xD4, 0x0B ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_29_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x87, 0xF1, 0xDD, 0x33, 0x66, 0xF9, 0x05, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1D, 0xE5, 0x6B, 0x79, 0xBD, 0x48, 0x42, 0xAA ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD1, 0x14, 0x52, 0xE3, 0x53, 0xB4, 0x50, 0xD4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x32, 0x84, 0x6C, 0xCF, 0xDA, 0xB2, 0x20, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0xD6, 0x1A, 0xE5, 0xE2, 0x29, 0x70, 0xCE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x61, 0xFE, 0xBB, 0x21, 0x82, 0xD1, 0xFE ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x2C, 0xF0, 0x9C, 0x8B, 0x1A, 0x42, 0x30, 0x06 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0xD6, 0x49, 0x81, 0x92, 0xF1, 0xD0, 0x90 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_29_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x91, 0x93, 0x6A, 0xA6, 0x22, 0xE9, 0xD6 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x09, 0xDC, 0xC3, 0x69, 0x11, 0x95, 0x7D, 0xEC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x1C, 0xA3, 0x9D, 0x87, 0x5E, 0x64, 0x41, 0xA2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xBE, 0x87, 0x5A, 0x15, 0xBD, 0x6E, 0x3C, 0x8D ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD0, 0x8D, 0x50, 0xCC, 0xCF, 0xB7, 0x8F, 0x0B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x38, 0x65, 0xCD, 0x31, 0x30, 0xF1, 0x68, 0x13 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x10, 0x5C, 0x66, 0x67, 0x92, 0x30, 0x57, 0x95 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x23, 0x9B, 0x01, 0x3D, 0x20, 0x8B, 0xD1, 0x0D ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_30_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xAB, 0xC0, 0xE6, 0x4F, 0xDE, 0x62, 0xAB, 0xB3 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA4, 0x48, 0xB3, 0x1C, 0x0F, 0x16, 0x93, 0x45 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x77, 0x63, 0xBD, 0x1F, 0x16, 0x50, 0x56, 0x98 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x5D, 0x06, 0xBC, 0xE9, 0x27, 0x1C, 0x9A, 0x7B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF8, 0xFE, 0x21, 0xC5, 0x39, 0x55, 0xE1, 0xFD ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF6, 0xA8, 0xD0, 0x96, 0x0E, 0xB5, 0xB2, 0x84 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3D, 0xE7, 0x4B, 0xF3, 0x11, 0x0C, 0xC9, 0x5B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x43, 0x3A, 0xC4, 0x87, 0x71, 0xEE, 0xFA, 0x18 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_30_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xA7, 0x77, 0xEE, 0x81, 0x5E, 0x96, 0xEA, 0x4B ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xEE, 0xDF, 0xA9, 0xF4, 0x4F, 0x7C, 0xB2, 0x43 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x9F, 0xD4, 0xDF, 0x35, 0x63, 0x47, 0x25, 0x8A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xA5, 0x3D, 0xFF, 0xA4, 0x02, 0xC3, 0x95, 0x11 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xD5, 0x10, 0x78, 0xD1, 0x2B, 0xB7, 0xBE, 0x0E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x0A, 0xE9, 0x57, 0xF9, 0xE0, 0xD8, 0xFC, 0xBC ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF3, 0xC4, 0x01, 0xD6, 0xB4, 0xE7, 0x78, 0xE2 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x02, 0x6C, 0xB9, 0x13, 0xA4, 0xE8, 0x6D, 0x6F ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_31_X[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0xE8, 0xB0, 0xC9, 0xCD, 0xBF, 0xA2, 0x1E, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xDD, 0x4F, 0x86, 0x22, 0x9B, 0xEA, 0xE8, 0xBB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x50, 0x46, 0xDF, 0x43, 0xB9, 0x82, 0x2D, 0x0A ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x07, 0x32, 0xF1, 0x4E, 0x95, 0x41, 0xAE, 0x8E ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x52, 0x93, 0x26, 0xFC, 0xD3, 0x90, 0xDC, 0xEB ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x04, 0x05, 0x45, 0xCA, 0xF9, 0x5A, 0x89, 0x93 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xC5, 0x82, 0x63, 0x4E, 0x55, 0x1D, 0x3A, 0x08 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x7C, 0x69, 0x52, 0x49, 0xE9, 0xED, 0x57, 0x34 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_mpi_uint brainpoolP512r1_T_31_Y[] = {
|
|
|
|
BYTES_TO_T_UINT_8( 0x70, 0x64, 0xE9, 0xAC, 0x4C, 0x4A, 0xEA, 0x25 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xE9, 0xE9, 0x0B, 0x99, 0xE7, 0xF9, 0xA9, 0x2C ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x24, 0x0C, 0xC1, 0xF4, 0x8D, 0x07, 0xB6, 0xB1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xAD, 0x68, 0xFA, 0x35, 0xE4, 0x9E, 0xAE, 0xD9 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0xF0, 0x2D, 0x1A, 0x13, 0x8E, 0x02, 0xE2, 0x63 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x27, 0x38, 0x28, 0x86, 0x46, 0x7B, 0x3A, 0xE1 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x3F, 0x4C, 0x64, 0x59, 0x0A, 0xF9, 0x02, 0xC4 ),
|
|
|
|
BYTES_TO_T_UINT_8( 0x41, 0x4F, 0x23, 0xA2, 0xC3, 0xD5, 0xEF, 0x42 ),
|
|
|
|
};
|
|
|
|
static const mbedtls_ecp_point brainpoolP512r1_T[32] = {
|
|
|
|
ECP_POINT_INIT_XY_Z1(brainpoolP512r1_T_0_X, brainpoolP512r1_T_0_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_1_X, brainpoolP512r1_T_1_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_2_X, brainpoolP512r1_T_2_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_3_X, brainpoolP512r1_T_3_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_4_X, brainpoolP512r1_T_4_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_5_X, brainpoolP512r1_T_5_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_6_X, brainpoolP512r1_T_6_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_7_X, brainpoolP512r1_T_7_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_8_X, brainpoolP512r1_T_8_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_9_X, brainpoolP512r1_T_9_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_10_X, brainpoolP512r1_T_10_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_11_X, brainpoolP512r1_T_11_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_12_X, brainpoolP512r1_T_12_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_13_X, brainpoolP512r1_T_13_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_14_X, brainpoolP512r1_T_14_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_15_X, brainpoolP512r1_T_15_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_16_X, brainpoolP512r1_T_16_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_17_X, brainpoolP512r1_T_17_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_18_X, brainpoolP512r1_T_18_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_19_X, brainpoolP512r1_T_19_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_20_X, brainpoolP512r1_T_20_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_21_X, brainpoolP512r1_T_21_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_22_X, brainpoolP512r1_T_22_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_23_X, brainpoolP512r1_T_23_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_24_X, brainpoolP512r1_T_24_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_25_X, brainpoolP512r1_T_25_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_26_X, brainpoolP512r1_T_26_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_27_X, brainpoolP512r1_T_27_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_28_X, brainpoolP512r1_T_28_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_29_X, brainpoolP512r1_T_29_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_30_X, brainpoolP512r1_T_30_Y),
|
|
|
|
ECP_POINT_INIT_XY_Z0(brainpoolP512r1_T_31_X, brainpoolP512r1_T_31_Y),
|
|
|
|
};
|
|
|
|
#else
|
|
|
|
#define brainpoolP512r1_T NULL
|
2018-09-12 14:44:03 +02:00
|
|
|
#endif
|
2021-04-08 08:32:06 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
|
2018-09-12 14:44:03 +02:00
|
|
|
|
|
|
|
#if defined(ECP_LOAD_GROUP)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
2013-12-06 12:16:10 +01:00
|
|
|
* Create an MPI from embedded constants
|
2015-04-08 12:49:31 +02:00
|
|
|
* (assumes len is an exact multiple of sizeof mbedtls_mpi_uint)
|
2013-12-02 15:49:09 +01:00
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static inline void ecp_mpi_load( mbedtls_mpi *X, const mbedtls_mpi_uint *p, size_t len )
|
2013-12-06 12:16:10 +01:00
|
|
|
{
|
|
|
|
X->s = 1;
|
2015-04-08 12:49:31 +02:00
|
|
|
X->n = len / sizeof( mbedtls_mpi_uint );
|
|
|
|
X->p = (mbedtls_mpi_uint *) p;
|
2013-12-06 12:16:10 +01:00
|
|
|
}
|
|
|
|
|
2013-12-06 12:41:30 +01:00
|
|
|
/*
|
|
|
|
* Set an MPI to static value 1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static inline void ecp_mpi_set1( mbedtls_mpi *X )
|
2013-12-06 12:41:30 +01:00
|
|
|
{
|
|
|
|
X->s = 1;
|
|
|
|
X->n = 1;
|
2021-04-08 08:32:06 +02:00
|
|
|
X->p = mpi_one;
|
2013-12-06 12:41:30 +01:00
|
|
|
}
|
|
|
|
|
2013-12-06 12:16:10 +01:00
|
|
|
/*
|
|
|
|
* Make group available from embedded constants
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_group_load( mbedtls_ecp_group *grp,
|
|
|
|
const mbedtls_mpi_uint *p, size_t plen,
|
|
|
|
const mbedtls_mpi_uint *a, size_t alen,
|
|
|
|
const mbedtls_mpi_uint *b, size_t blen,
|
|
|
|
const mbedtls_mpi_uint *gx, size_t gxlen,
|
|
|
|
const mbedtls_mpi_uint *gy, size_t gylen,
|
2021-04-08 08:32:06 +02:00
|
|
|
const mbedtls_mpi_uint *n, size_t nlen,
|
|
|
|
const mbedtls_ecp_point *T)
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
2013-12-06 12:16:10 +01:00
|
|
|
ecp_mpi_load( &grp->P, p, plen );
|
2013-12-02 16:30:43 +01:00
|
|
|
if( a != NULL )
|
2013-12-06 12:16:10 +01:00
|
|
|
ecp_mpi_load( &grp->A, a, alen );
|
|
|
|
ecp_mpi_load( &grp->B, b, blen );
|
|
|
|
ecp_mpi_load( &grp->N, n, nlen );
|
2013-12-02 16:30:43 +01:00
|
|
|
|
2013-12-06 12:16:10 +01:00
|
|
|
ecp_mpi_load( &grp->G.X, gx, gxlen );
|
|
|
|
ecp_mpi_load( &grp->G.Y, gy, gylen );
|
2013-12-06 12:41:30 +01:00
|
|
|
ecp_mpi_set1( &grp->G.Z );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-06-18 16:47:17 +02:00
|
|
|
grp->pbits = mbedtls_mpi_bitlen( &grp->P );
|
|
|
|
grp->nbits = mbedtls_mpi_bitlen( &grp->N );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2013-12-06 12:51:50 +01:00
|
|
|
grp->h = 1;
|
|
|
|
|
2021-04-08 08:32:06 +02:00
|
|
|
grp->T = (mbedtls_ecp_point *) T;
|
|
|
|
/*
|
|
|
|
* Set T_size to 0 to prevent T free by mbedtls_ecp_group_free.
|
|
|
|
*/
|
|
|
|
grp->T_size = 0;
|
|
|
|
|
2013-12-06 12:41:30 +01:00
|
|
|
return( 0 );
|
2013-12-02 15:49:09 +01:00
|
|
|
}
|
2018-09-12 14:44:03 +02:00
|
|
|
#endif /* ECP_LOAD_GROUP */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_NIST_OPTIM)
|
2013-12-02 15:49:09 +01:00
|
|
|
/* Forward declarations */
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
|
|
|
|
static int ecp_mod_p192( mbedtls_mpi * );
|
2013-12-04 20:51:13 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
|
|
|
|
static int ecp_mod_p224( mbedtls_mpi * );
|
2013-12-04 20:51:13 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
|
|
|
|
static int ecp_mod_p256( mbedtls_mpi * );
|
2013-12-04 20:51:13 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
|
|
|
|
static int ecp_mod_p384( mbedtls_mpi * );
|
2013-12-04 20:51:13 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
|
|
|
|
static int ecp_mod_p521( mbedtls_mpi * );
|
2013-12-04 20:51:13 +01:00
|
|
|
#endif
|
2013-12-02 17:14:48 +01:00
|
|
|
|
|
|
|
#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
|
|
|
|
#else
|
|
|
|
#define NIST_MODP( P )
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_NIST_OPTIM */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2014-01-17 23:17:10 +01:00
|
|
|
/* Additional forward declarations */
|
2015-06-23 00:18:41 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p255( mbedtls_mpi * );
|
2014-01-17 23:17:10 +01:00
|
|
|
#endif
|
2015-11-10 14:10:01 +01:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
|
|
|
|
static int ecp_mod_p448( mbedtls_mpi * );
|
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
|
|
|
|
static int ecp_mod_p192k1( mbedtls_mpi * );
|
2014-01-18 17:28:59 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
|
|
|
|
static int ecp_mod_p224k1( mbedtls_mpi * );
|
2014-01-18 17:28:59 +01:00
|
|
|
#endif
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
|
|
|
|
static int ecp_mod_p256k1( mbedtls_mpi * );
|
2014-01-17 23:17:10 +01:00
|
|
|
#endif
|
|
|
|
|
2018-09-12 14:44:03 +02:00
|
|
|
#if defined(ECP_LOAD_GROUP)
|
2013-12-06 13:28:05 +01:00
|
|
|
#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
|
|
|
|
G ## _p, sizeof( G ## _p ), \
|
|
|
|
G ## _a, sizeof( G ## _a ), \
|
|
|
|
G ## _b, sizeof( G ## _b ), \
|
|
|
|
G ## _gx, sizeof( G ## _gx ), \
|
|
|
|
G ## _gy, sizeof( G ## _gy ), \
|
2021-04-08 08:32:06 +02:00
|
|
|
G ## _n, sizeof( G ## _n ), \
|
|
|
|
G ## _T \
|
|
|
|
)
|
2013-12-06 13:28:05 +01:00
|
|
|
|
|
|
|
#define LOAD_GROUP( G ) ecp_group_load( grp, \
|
|
|
|
G ## _p, sizeof( G ## _p ), \
|
|
|
|
NULL, 0, \
|
|
|
|
G ## _b, sizeof( G ## _b ), \
|
|
|
|
G ## _gx, sizeof( G ## _gx ), \
|
|
|
|
G ## _gy, sizeof( G ## _gy ), \
|
2021-04-08 08:32:06 +02:00
|
|
|
G ## _n, sizeof( G ## _n ), \
|
|
|
|
G ## _T \
|
|
|
|
)
|
2018-09-12 14:44:03 +02:00
|
|
|
#endif /* ECP_LOAD_GROUP */
|
2013-12-06 13:28:05 +01:00
|
|
|
|
2015-06-23 00:18:41 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
|
2013-12-03 14:12:26 +01:00
|
|
|
/*
|
|
|
|
* Specialized function for creating the Curve25519 group
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_use_curve25519( mbedtls_ecp_group *grp )
|
2013-12-03 14:12:26 +01:00
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2013-12-03 14:12:26 +01:00
|
|
|
|
|
|
|
/* Actually ( A + 2 ) / 4 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "01DB42" ) );
|
2013-12-03 14:12:26 +01:00
|
|
|
|
|
|
|
/* P = 2^255 - 19 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 255 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 19 ) );
|
2015-06-18 16:47:17 +02:00
|
|
|
grp->pbits = mbedtls_mpi_bitlen( &grp->P );
|
2013-12-03 14:12:26 +01:00
|
|
|
|
2016-05-16 16:15:45 +02:00
|
|
|
/* N = 2^252 + 27742317777372353535851937790883648493 */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->N, 16,
|
|
|
|
"14DEF9DEA2F79CD65812631A5CF5D3ED" ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 252, 1 ) );
|
|
|
|
|
2018-03-28 11:14:06 +02:00
|
|
|
/* Y intentionally not set, since we use x/z coordinates.
|
2013-12-04 11:08:01 +01:00
|
|
|
* This is used as a marker to identify Montgomery curves! */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 9 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
|
|
|
|
mbedtls_mpi_free( &grp->G.Y );
|
2013-12-04 11:08:01 +01:00
|
|
|
|
2013-12-03 14:12:26 +01:00
|
|
|
/* Actually, the required msb for private keys */
|
|
|
|
grp->nbits = 254;
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
if( ret != 0 )
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_ecp_group_free( grp );
|
2013-12-03 14:12:26 +01:00
|
|
|
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-06-23 00:18:41 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
|
2013-12-03 14:12:26 +01:00
|
|
|
|
2015-11-10 14:10:01 +01:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
|
|
|
|
/*
|
|
|
|
* Specialized function for creating the Curve448 group
|
|
|
|
*/
|
|
|
|
static int ecp_use_curve448( mbedtls_ecp_group *grp )
|
|
|
|
{
|
|
|
|
mbedtls_mpi Ns;
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2015-11-10 14:10:01 +01:00
|
|
|
|
|
|
|
mbedtls_mpi_init( &Ns );
|
|
|
|
|
|
|
|
/* Actually ( A + 2 ) / 4 */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &grp->A, 16, "98AA" ) );
|
|
|
|
|
|
|
|
/* P = 2^448 - 2^224 - 1 */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->P, 1 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &grp->P, 224 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &grp->P, &grp->P, 1 ) );
|
|
|
|
grp->pbits = mbedtls_mpi_bitlen( &grp->P );
|
|
|
|
|
|
|
|
/* Y intentionally not set, since we use x/z coordinates.
|
|
|
|
* This is used as a marker to identify Montgomery curves! */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.X, 5 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &grp->G.Z, 1 ) );
|
|
|
|
mbedtls_mpi_free( &grp->G.Y );
|
|
|
|
|
|
|
|
/* N = 2^446 - 13818066809895115352007386748515426880336692474882178609894547503885 */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( &grp->N, 446, 1 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &Ns, 16,
|
|
|
|
"8335DC163BB124B65129C96FDE933D8D723A70AADC873D6D54A7BB0D" ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &grp->N, &grp->N, &Ns ) );
|
|
|
|
|
|
|
|
/* Actually, the required msb for private keys */
|
|
|
|
grp->nbits = 447;
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
mbedtls_mpi_free( &Ns );
|
|
|
|
if( ret != 0 )
|
|
|
|
mbedtls_ecp_group_free( grp );
|
|
|
|
|
|
|
|
return( ret );
|
|
|
|
}
|
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
|
|
|
|
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Set a group using well-known domain parameters
|
|
|
|
*/
|
2015-05-11 18:46:47 +02:00
|
|
|
int mbedtls_ecp_group_load( mbedtls_ecp_group *grp, mbedtls_ecp_group_id id )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
2018-12-14 16:08:03 +01:00
|
|
|
ECP_VALIDATE_RET( grp != NULL );
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_ecp_group_free( grp );
|
2013-12-03 14:12:26 +01:00
|
|
|
|
2013-12-02 15:49:09 +01:00
|
|
|
grp->id = id;
|
|
|
|
|
|
|
|
switch( id )
|
|
|
|
{
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP192R1:
|
2013-12-02 17:14:48 +01:00
|
|
|
NIST_MODP( p192 );
|
2013-12-02 16:30:43 +01:00
|
|
|
return( LOAD_GROUP( secp192r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP224R1:
|
2013-12-02 17:14:48 +01:00
|
|
|
NIST_MODP( p224 );
|
2013-12-02 16:30:43 +01:00
|
|
|
return( LOAD_GROUP( secp224r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP256R1:
|
2013-12-02 17:14:48 +01:00
|
|
|
NIST_MODP( p256 );
|
2013-12-02 16:30:43 +01:00
|
|
|
return( LOAD_GROUP( secp256r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP384R1:
|
2013-12-02 17:14:48 +01:00
|
|
|
NIST_MODP( p384 );
|
2013-12-02 16:30:43 +01:00
|
|
|
return( LOAD_GROUP( secp384r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP521R1:
|
2013-12-02 17:14:48 +01:00
|
|
|
NIST_MODP( p521 );
|
2013-12-02 16:30:43 +01:00
|
|
|
return( LOAD_GROUP( secp521r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP192K1:
|
2014-01-18 17:28:59 +01:00
|
|
|
grp->modp = ecp_mod_p192k1;
|
2014-01-11 15:58:47 +01:00
|
|
|
return( LOAD_GROUP_A( secp192k1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
|
2014-01-11 15:58:47 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP224K1:
|
2014-01-18 17:28:59 +01:00
|
|
|
grp->modp = ecp_mod_p224k1;
|
2014-01-11 15:22:07 +01:00
|
|
|
return( LOAD_GROUP_A( secp224k1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
|
2014-01-11 15:22:07 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_SECP256K1:
|
2014-01-17 23:17:10 +01:00
|
|
|
grp->modp = ecp_mod_p256k1;
|
2014-01-10 18:17:18 +01:00
|
|
|
return( LOAD_GROUP_A( secp256k1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
|
2014-01-10 18:17:18 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP256R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_BP256R1:
|
2013-12-06 13:28:05 +01:00
|
|
|
return( LOAD_GROUP_A( brainpoolP256r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP256R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP384R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_BP384R1:
|
2013-12-06 13:28:05 +01:00
|
|
|
return( LOAD_GROUP_A( brainpoolP384r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_BP512R1_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_BP512R1:
|
2013-12-06 13:28:05 +01:00
|
|
|
return( LOAD_GROUP_A( brainpoolP512r1 ) );
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_BP512R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-06-23 00:18:41 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_CURVE25519:
|
2013-12-04 20:51:13 +01:00
|
|
|
grp->modp = ecp_mod_p255;
|
2013-12-03 14:12:26 +01:00
|
|
|
return( ecp_use_curve25519( grp ) );
|
2015-06-23 00:18:41 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
|
2013-12-03 14:12:26 +01:00
|
|
|
|
2015-11-10 14:10:01 +01:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
|
|
|
|
case MBEDTLS_ECP_DP_CURVE448:
|
|
|
|
grp->modp = ecp_mod_p448;
|
|
|
|
return( ecp_use_curve448( grp ) );
|
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
|
|
|
|
|
2013-12-02 15:49:09 +01:00
|
|
|
default:
|
2019-09-10 16:58:20 +02:00
|
|
|
grp->id = MBEDTLS_ECP_DP_NONE;
|
2015-04-08 12:49:31 +02:00
|
|
|
return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE );
|
2013-12-02 15:49:09 +01:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_NIST_OPTIM)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Fast reduction modulo the primes used by the NIST curves.
|
|
|
|
*
|
|
|
|
* These functions are critical for speed, but not needed for correct
|
|
|
|
* operations. So, we make the choice to heavily rely on the internals of our
|
|
|
|
* bignum library, which creates a tight coupling between these functions and
|
|
|
|
* our MPI implementation. However, the coupling between the ECP module and
|
|
|
|
* MPI remains loose, since these functions can be deactivated at will.
|
|
|
|
*/
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Compared to the way things are presented in FIPS 186-3 D.2,
|
|
|
|
* we proceed in columns, from right (least significant chunk) to left,
|
|
|
|
* adding chunks to N in place, and keeping a carry for the next chunk.
|
|
|
|
* This avoids moving things around in memory, and uselessly adding zeros,
|
|
|
|
* compared to the more straightforward, line-oriented approach.
|
|
|
|
*
|
|
|
|
* For this prime we need to handle data in chunks of 64 bits.
|
2015-04-08 12:49:31 +02:00
|
|
|
* Since this is always a multiple of our basic mbedtls_mpi_uint, we can
|
|
|
|
* use a mbedtls_mpi_uint * to designate such a chunk, and small loops to handle it.
|
2013-12-02 15:49:09 +01:00
|
|
|
*/
|
|
|
|
|
|
|
|
/* Add 64-bit chunks (dst += src) and update carry */
|
2015-04-08 12:49:31 +02:00
|
|
|
static inline void add64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *src, mbedtls_mpi_uint *carry )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
unsigned char i;
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_mpi_uint c = 0;
|
|
|
|
for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++, src++ )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
*dst += c; c = ( *dst < c );
|
|
|
|
*dst += *src; c += ( *dst < *src );
|
|
|
|
}
|
|
|
|
*carry += c;
|
|
|
|
}
|
|
|
|
|
|
|
|
/* Add carry to a 64-bit chunk and update carry */
|
2015-04-08 12:49:31 +02:00
|
|
|
static inline void carry64( mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
unsigned char i;
|
2015-04-08 12:49:31 +02:00
|
|
|
for( i = 0; i < 8 / sizeof( mbedtls_mpi_uint ); i++, dst++ )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
*dst += *carry;
|
|
|
|
*carry = ( *dst < *carry );
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#define WIDTH 8 / sizeof( mbedtls_mpi_uint )
|
2018-10-15 13:01:35 +02:00
|
|
|
#define A( i ) N->p + (i) * WIDTH
|
2013-12-02 15:49:09 +01:00
|
|
|
#define ADD( i ) add64( p, A( i ), &c )
|
|
|
|
#define NEXT p += WIDTH; carry64( p, &c )
|
|
|
|
#define LAST p += WIDTH; *p = c; while( ++p < end ) *p = 0
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p192 (FIPS 186-3 D.2.1)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p192( mbedtls_mpi *N )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_mpi_uint c = 0;
|
|
|
|
mbedtls_mpi_uint *p, *end;
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/* Make sure we have enough blocks so that A(5) is legal */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, 6 * WIDTH ) );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
p = N->p;
|
|
|
|
end = p + N->n;
|
|
|
|
|
|
|
|
ADD( 3 ); ADD( 5 ); NEXT; // A0 += A3 + A5
|
|
|
|
ADD( 3 ); ADD( 4 ); ADD( 5 ); NEXT; // A1 += A3 + A4 + A5
|
|
|
|
ADD( 4 ); ADD( 5 ); LAST; // A2 += A4 + A5
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
|
|
|
|
|
|
|
#undef WIDTH
|
|
|
|
#undef A
|
|
|
|
#undef ADD
|
|
|
|
#undef NEXT
|
|
|
|
#undef LAST
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \
|
|
|
|
defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \
|
|
|
|
defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* The reader is advised to first understand ecp_mod_p192() since the same
|
|
|
|
* general structure is used here, but with additional complications:
|
|
|
|
* (1) chunks of 32 bits, and (2) subtractions.
|
|
|
|
*/
|
|
|
|
|
|
|
|
/*
|
|
|
|
* For these primes, we need to handle data in chunks of 32 bits.
|
|
|
|
* This makes it more complicated if we use 64 bits limbs in MPI,
|
|
|
|
* which prevents us from using a uniform access method as for p192.
|
|
|
|
*
|
|
|
|
* So, we define a mini abstraction layer to access 32 bit chunks,
|
|
|
|
* load them in 'cur' for work, and store them back from 'cur' when done.
|
|
|
|
*
|
|
|
|
* While at it, also define the size of N in terms of 32-bit chunks.
|
|
|
|
*/
|
|
|
|
#define LOAD32 cur = A( i );
|
|
|
|
|
2015-04-09 17:00:17 +02:00
|
|
|
#if defined(MBEDTLS_HAVE_INT32) /* 32 bit */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
#define MAX32 N->n
|
|
|
|
#define A( j ) N->p[j]
|
|
|
|
#define STORE32 N->p[i] = cur;
|
|
|
|
|
|
|
|
#else /* 64-bit */
|
|
|
|
|
|
|
|
#define MAX32 N->n * 2
|
2018-10-15 13:01:35 +02:00
|
|
|
#define A( j ) (j) % 2 ? (uint32_t)( N->p[(j)/2] >> 32 ) : \
|
|
|
|
(uint32_t)( N->p[(j)/2] )
|
2013-12-02 15:49:09 +01:00
|
|
|
#define STORE32 \
|
|
|
|
if( i % 2 ) { \
|
|
|
|
N->p[i/2] &= 0x00000000FFFFFFFF; \
|
2015-04-08 12:49:31 +02:00
|
|
|
N->p[i/2] |= ((mbedtls_mpi_uint) cur) << 32; \
|
2013-12-02 15:49:09 +01:00
|
|
|
} else { \
|
|
|
|
N->p[i/2] &= 0xFFFFFFFF00000000; \
|
2015-04-08 12:49:31 +02:00
|
|
|
N->p[i/2] |= (mbedtls_mpi_uint) cur; \
|
2013-12-02 15:49:09 +01:00
|
|
|
}
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* sizeof( mbedtls_mpi_uint ) */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Helpers for addition and subtraction of chunks, with signed carry.
|
|
|
|
*/
|
|
|
|
static inline void add32( uint32_t *dst, uint32_t src, signed char *carry )
|
|
|
|
{
|
|
|
|
*dst += src;
|
|
|
|
*carry += ( *dst < src );
|
|
|
|
}
|
|
|
|
|
|
|
|
static inline void sub32( uint32_t *dst, uint32_t src, signed char *carry )
|
|
|
|
{
|
|
|
|
*carry -= ( *dst < src );
|
|
|
|
*dst -= src;
|
|
|
|
}
|
|
|
|
|
|
|
|
#define ADD( j ) add32( &cur, A( j ), &c );
|
|
|
|
#define SUB( j ) sub32( &cur, A( j ), &c );
|
|
|
|
|
2020-07-22 19:58:28 +02:00
|
|
|
#define ciL (sizeof(mbedtls_mpi_uint)) /* chars in limb */
|
2021-03-10 23:44:28 +01:00
|
|
|
#define biL (ciL << 3) /* bits in limb */
|
2020-07-22 19:58:28 +02:00
|
|
|
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Helpers for the main 'loop'
|
|
|
|
*/
|
2018-10-15 13:01:35 +02:00
|
|
|
#define INIT( b ) \
|
2020-07-22 19:58:28 +02:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED; \
|
2018-10-15 13:01:35 +02:00
|
|
|
signed char c = 0, cc; \
|
|
|
|
uint32_t cur; \
|
|
|
|
size_t i = 0, bits = (b); \
|
2020-07-22 19:58:28 +02:00
|
|
|
/* N is the size of the product of two b-bit numbers, plus one */ \
|
|
|
|
/* limb for fix_negative */ \
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_grow( N, ( b ) * 2 / biL + 1 ) ); \
|
2013-12-02 15:49:09 +01:00
|
|
|
LOAD32;
|
|
|
|
|
|
|
|
#define NEXT \
|
|
|
|
STORE32; i++; LOAD32; \
|
|
|
|
cc = c; c = 0; \
|
|
|
|
if( cc < 0 ) \
|
|
|
|
sub32( &cur, -cc, &c ); \
|
|
|
|
else \
|
|
|
|
add32( &cur, cc, &c ); \
|
|
|
|
|
|
|
|
#define LAST \
|
|
|
|
STORE32; i++; \
|
|
|
|
cur = c > 0 ? c : 0; STORE32; \
|
|
|
|
cur = 0; while( ++i < MAX32 ) { STORE32; } \
|
2021-04-03 21:47:53 +02:00
|
|
|
if( c < 0 ) mbedtls_ecp_fix_negative( N, c, bits );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* If the result is negative, we get it in the form
|
2021-04-03 21:40:11 +02:00
|
|
|
* c * 2^bits + N, with c negative and N positive shorter than 'bits'
|
2013-12-02 15:49:09 +01:00
|
|
|
*/
|
2021-04-03 21:47:53 +02:00
|
|
|
MBEDTLS_STATIC_TESTABLE
|
|
|
|
void mbedtls_ecp_fix_negative( mbedtls_mpi *N, signed char c, size_t bits )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
2020-07-22 19:58:28 +02:00
|
|
|
size_t i;
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2021-04-03 20:21:43 +02:00
|
|
|
/* Set N := 2^bits - 1 - N. We know that 0 <= N < 2^bits, so
|
|
|
|
* set the absolute value to 0xfff...fff - N. There is no carry
|
|
|
|
* since we're subtracting from all-bits-one. */
|
2020-07-22 19:58:28 +02:00
|
|
|
for( i = 0; i <= bits / 8 / sizeof( mbedtls_mpi_uint ); i++ )
|
|
|
|
{
|
|
|
|
N->p[i] = ~(mbedtls_mpi_uint)0 - N->p[i];
|
|
|
|
}
|
2021-04-03 20:21:43 +02:00
|
|
|
/* Add 1, taking care of the carry. */
|
|
|
|
i = 0;
|
|
|
|
do
|
|
|
|
++N->p[i];
|
|
|
|
while( N->p[i++] == 0 && i <= bits / 8 / sizeof( mbedtls_mpi_uint ) );
|
|
|
|
/* Invert the sign.
|
|
|
|
* Now N = N0 - 2^bits where N0 is the initial value of N. */
|
2013-12-02 15:49:09 +01:00
|
|
|
N->s = -1;
|
|
|
|
|
2021-04-03 21:40:11 +02:00
|
|
|
/* Add |c| * 2^bits to the absolute value. Since c and N are
|
|
|
|
* negative, this adds c * 2^bits. */
|
2020-07-22 19:58:28 +02:00
|
|
|
mbedtls_mpi_uint msw = (mbedtls_mpi_uint) -c;
|
|
|
|
#if defined(MBEDTLS_HAVE_INT64)
|
|
|
|
if( bits == 224 )
|
|
|
|
msw <<= 32;
|
|
|
|
#endif
|
|
|
|
N->p[bits / 8 / sizeof( mbedtls_mpi_uint)] += msw;
|
2013-12-02 15:49:09 +01:00
|
|
|
}
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p224 (FIPS 186-3 D.2.2)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p224( mbedtls_mpi *N )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
INIT( 224 );
|
|
|
|
|
|
|
|
SUB( 7 ); SUB( 11 ); NEXT; // A0 += -A7 - A11
|
|
|
|
SUB( 8 ); SUB( 12 ); NEXT; // A1 += -A8 - A12
|
|
|
|
SUB( 9 ); SUB( 13 ); NEXT; // A2 += -A9 - A13
|
|
|
|
SUB( 10 ); ADD( 7 ); ADD( 11 ); NEXT; // A3 += -A10 + A7 + A11
|
|
|
|
SUB( 11 ); ADD( 8 ); ADD( 12 ); NEXT; // A4 += -A11 + A8 + A12
|
|
|
|
SUB( 12 ); ADD( 9 ); ADD( 13 ); NEXT; // A5 += -A12 + A9 + A13
|
|
|
|
SUB( 13 ); ADD( 10 ); LAST; // A6 += -A13 + A10
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p256 (FIPS 186-3 D.2.3)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p256( mbedtls_mpi *N )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
INIT( 256 );
|
|
|
|
|
|
|
|
ADD( 8 ); ADD( 9 );
|
|
|
|
SUB( 11 ); SUB( 12 ); SUB( 13 ); SUB( 14 ); NEXT; // A0
|
|
|
|
|
|
|
|
ADD( 9 ); ADD( 10 );
|
|
|
|
SUB( 12 ); SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A1
|
|
|
|
|
|
|
|
ADD( 10 ); ADD( 11 );
|
|
|
|
SUB( 13 ); SUB( 14 ); SUB( 15 ); NEXT; // A2
|
|
|
|
|
|
|
|
ADD( 11 ); ADD( 11 ); ADD( 12 ); ADD( 12 ); ADD( 13 );
|
|
|
|
SUB( 15 ); SUB( 8 ); SUB( 9 ); NEXT; // A3
|
|
|
|
|
|
|
|
ADD( 12 ); ADD( 12 ); ADD( 13 ); ADD( 13 ); ADD( 14 );
|
|
|
|
SUB( 9 ); SUB( 10 ); NEXT; // A4
|
|
|
|
|
|
|
|
ADD( 13 ); ADD( 13 ); ADD( 14 ); ADD( 14 ); ADD( 15 );
|
|
|
|
SUB( 10 ); SUB( 11 ); NEXT; // A5
|
|
|
|
|
|
|
|
ADD( 14 ); ADD( 14 ); ADD( 15 ); ADD( 15 ); ADD( 14 ); ADD( 13 );
|
|
|
|
SUB( 8 ); SUB( 9 ); NEXT; // A6
|
|
|
|
|
|
|
|
ADD( 15 ); ADD( 15 ); ADD( 15 ); ADD( 8 );
|
|
|
|
SUB( 10 ); SUB( 11 ); SUB( 12 ); SUB( 13 ); LAST; // A7
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP256R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p384 (FIPS 186-3 D.2.4)
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p384( mbedtls_mpi *N )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
|
|
|
INIT( 384 );
|
|
|
|
|
|
|
|
ADD( 12 ); ADD( 21 ); ADD( 20 );
|
|
|
|
SUB( 23 ); NEXT; // A0
|
|
|
|
|
|
|
|
ADD( 13 ); ADD( 22 ); ADD( 23 );
|
|
|
|
SUB( 12 ); SUB( 20 ); NEXT; // A2
|
|
|
|
|
|
|
|
ADD( 14 ); ADD( 23 );
|
|
|
|
SUB( 13 ); SUB( 21 ); NEXT; // A2
|
|
|
|
|
|
|
|
ADD( 15 ); ADD( 12 ); ADD( 20 ); ADD( 21 );
|
|
|
|
SUB( 14 ); SUB( 22 ); SUB( 23 ); NEXT; // A3
|
|
|
|
|
|
|
|
ADD( 21 ); ADD( 21 ); ADD( 16 ); ADD( 13 ); ADD( 12 ); ADD( 20 ); ADD( 22 );
|
|
|
|
SUB( 15 ); SUB( 23 ); SUB( 23 ); NEXT; // A4
|
|
|
|
|
|
|
|
ADD( 22 ); ADD( 22 ); ADD( 17 ); ADD( 14 ); ADD( 13 ); ADD( 21 ); ADD( 23 );
|
|
|
|
SUB( 16 ); NEXT; // A5
|
|
|
|
|
|
|
|
ADD( 23 ); ADD( 23 ); ADD( 18 ); ADD( 15 ); ADD( 14 ); ADD( 22 );
|
|
|
|
SUB( 17 ); NEXT; // A6
|
|
|
|
|
|
|
|
ADD( 19 ); ADD( 16 ); ADD( 15 ); ADD( 23 );
|
|
|
|
SUB( 18 ); NEXT; // A7
|
|
|
|
|
|
|
|
ADD( 20 ); ADD( 17 ); ADD( 16 );
|
|
|
|
SUB( 19 ); NEXT; // A8
|
|
|
|
|
|
|
|
ADD( 21 ); ADD( 18 ); ADD( 17 );
|
|
|
|
SUB( 20 ); NEXT; // A9
|
|
|
|
|
|
|
|
ADD( 22 ); ADD( 19 ); ADD( 18 );
|
|
|
|
SUB( 21 ); NEXT; // A10
|
|
|
|
|
|
|
|
ADD( 23 ); ADD( 20 ); ADD( 19 );
|
|
|
|
SUB( 22 ); LAST; // A11
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
#undef A
|
|
|
|
#undef LOAD32
|
|
|
|
#undef STORE32
|
|
|
|
#undef MAX32
|
|
|
|
#undef INIT
|
|
|
|
#undef NEXT
|
|
|
|
#undef LAST
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224R1_ENABLED ||
|
|
|
|
MBEDTLS_ECP_DP_SECP256R1_ENABLED ||
|
|
|
|
MBEDTLS_ECP_DP_SECP384R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP521R1_ENABLED)
|
2013-12-02 15:49:09 +01:00
|
|
|
/*
|
|
|
|
* Here we have an actual Mersenne prime, so things are more straightforward.
|
|
|
|
* However, chunks are aligned on a 'weird' boundary (521 bits).
|
|
|
|
*/
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
/* Size of p521 in terms of mbedtls_mpi_uint */
|
|
|
|
#define P521_WIDTH ( 521 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
/* Bits to keep in the most significant mbedtls_mpi_uint */
|
2013-12-02 15:49:09 +01:00
|
|
|
#define P521_MASK 0x01FF
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p521 (FIPS 186-3 D.2.5)
|
|
|
|
* Write N as A1 + 2^521 A0, return A0 + A1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p521( mbedtls_mpi *N )
|
2013-12-02 15:49:09 +01:00
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2013-12-02 15:49:09 +01:00
|
|
|
size_t i;
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_mpi M;
|
|
|
|
mbedtls_mpi_uint Mp[P521_WIDTH + 1];
|
|
|
|
/* Worst case for the size of M is when mbedtls_mpi_uint is 16 bits:
|
2013-12-02 15:49:09 +01:00
|
|
|
* we need to hold bits 513 to 1056, which is 34 limbs, that is
|
|
|
|
* P521_WIDTH + 1. Otherwise P521_WIDTH is enough. */
|
|
|
|
|
|
|
|
if( N->n < P521_WIDTH )
|
|
|
|
return( 0 );
|
|
|
|
|
|
|
|
/* M = A1 */
|
|
|
|
M.s = 1;
|
|
|
|
M.n = N->n - ( P521_WIDTH - 1 );
|
|
|
|
if( M.n > P521_WIDTH + 1 )
|
|
|
|
M.n = P521_WIDTH + 1;
|
|
|
|
M.p = Mp;
|
2015-04-08 12:49:31 +02:00
|
|
|
memcpy( Mp, N->p + P521_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 521 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
/* N = A0 */
|
|
|
|
N->p[P521_WIDTH - 1] &= P521_MASK;
|
|
|
|
for( i = P521_WIDTH; i < N->n; i++ )
|
|
|
|
N->p[i] = 0;
|
|
|
|
|
|
|
|
/* N = A0 + A1 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
|
2013-12-02 15:49:09 +01:00
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
|
|
|
|
|
|
|
#undef P521_WIDTH
|
|
|
|
#undef P521_MASK
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP521R1_ENABLED */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_NIST_OPTIM */
|
2013-12-02 15:49:09 +01:00
|
|
|
|
2015-06-23 00:18:41 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
|
2013-12-04 20:51:13 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
/* Size of p255 in terms of mbedtls_mpi_uint */
|
|
|
|
#define P255_WIDTH ( 255 / 8 / sizeof( mbedtls_mpi_uint ) + 1 )
|
2013-12-04 20:51:13 +01:00
|
|
|
|
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p255 = 2^255 - 19
|
2014-01-17 23:17:10 +01:00
|
|
|
* Write N as A0 + 2^255 A1, return A0 + 19 * A1
|
2013-12-04 20:51:13 +01:00
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p255( mbedtls_mpi *N )
|
2013-12-04 20:51:13 +01:00
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2013-12-04 20:51:13 +01:00
|
|
|
size_t i;
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_mpi M;
|
|
|
|
mbedtls_mpi_uint Mp[P255_WIDTH + 2];
|
2013-12-04 20:51:13 +01:00
|
|
|
|
|
|
|
if( N->n < P255_WIDTH )
|
|
|
|
return( 0 );
|
|
|
|
|
|
|
|
/* M = A1 */
|
|
|
|
M.s = 1;
|
|
|
|
M.n = N->n - ( P255_WIDTH - 1 );
|
|
|
|
if( M.n > P255_WIDTH + 1 )
|
2015-11-10 14:10:01 +01:00
|
|
|
return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
|
2013-12-04 20:51:13 +01:00
|
|
|
M.p = Mp;
|
|
|
|
memset( Mp, 0, sizeof Mp );
|
2015-04-08 12:49:31 +02:00
|
|
|
memcpy( Mp, N->p + P255_WIDTH - 1, M.n * sizeof( mbedtls_mpi_uint ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, 255 % ( 8 * sizeof( mbedtls_mpi_uint ) ) ) );
|
2013-12-04 20:51:13 +01:00
|
|
|
M.n++; /* Make room for multiplication by 19 */
|
|
|
|
|
|
|
|
/* N = A0 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_set_bit( N, 255, 0 ) );
|
2013-12-04 20:51:13 +01:00
|
|
|
for( i = P255_WIDTH; i < N->n; i++ )
|
|
|
|
N->p[i] = 0;
|
|
|
|
|
|
|
|
/* N = A0 + 19 * A1 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_int( &M, &M, 19 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
|
2013-12-04 20:51:13 +01:00
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-06-23 00:18:41 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE25519_ENABLED */
|
2013-12-04 20:51:13 +01:00
|
|
|
|
2015-11-10 14:10:01 +01:00
|
|
|
#if defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
|
|
|
|
|
|
|
|
/* Size of p448 in terms of mbedtls_mpi_uint */
|
|
|
|
#define P448_WIDTH ( 448 / 8 / sizeof( mbedtls_mpi_uint ) )
|
|
|
|
|
|
|
|
/* Number of limbs fully occupied by 2^224 (max), and limbs used by it (min) */
|
|
|
|
#define DIV_ROUND_UP( X, Y ) ( ( ( X ) + ( Y ) - 1 ) / ( Y ) )
|
|
|
|
#define P224_WIDTH_MIN ( 28 / sizeof( mbedtls_mpi_uint ) )
|
|
|
|
#define P224_WIDTH_MAX DIV_ROUND_UP( 28, sizeof( mbedtls_mpi_uint ) )
|
|
|
|
#define P224_UNUSED_BITS ( ( P224_WIDTH_MAX * sizeof( mbedtls_mpi_uint ) * 8 ) - 224 )
|
|
|
|
|
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p448 = 2^448 - 2^224 - 1
|
|
|
|
* Write N as A0 + 2^448 A1 and A1 as B0 + 2^224 B1, and return
|
|
|
|
* A0 + A1 + B1 + (B0 + B1) * 2^224. This is different to the reference
|
|
|
|
* implementation of Curve448, which uses its own special 56-bit limbs rather
|
|
|
|
* than a generic bignum library. We could squeeze some extra speed out on
|
|
|
|
* 32-bit machines by splitting N up into 32-bit limbs and doing the
|
|
|
|
* arithmetic using the limbs directly as we do for the NIST primes above,
|
|
|
|
* but for 64-bit targets it should use half the number of operations if we do
|
|
|
|
* the reduction with 224-bit limbs, since mpi_add_mpi will then use 64-bit adds.
|
|
|
|
*/
|
|
|
|
static int ecp_mod_p448( mbedtls_mpi *N )
|
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2015-11-10 14:10:01 +01:00
|
|
|
size_t i;
|
|
|
|
mbedtls_mpi M, Q;
|
|
|
|
mbedtls_mpi_uint Mp[P448_WIDTH + 1], Qp[P448_WIDTH];
|
|
|
|
|
|
|
|
if( N->n <= P448_WIDTH )
|
|
|
|
return( 0 );
|
|
|
|
|
|
|
|
/* M = A1 */
|
|
|
|
M.s = 1;
|
|
|
|
M.n = N->n - ( P448_WIDTH );
|
|
|
|
if( M.n > P448_WIDTH )
|
|
|
|
/* Shouldn't be called with N larger than 2^896! */
|
|
|
|
return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
|
|
|
|
M.p = Mp;
|
|
|
|
memset( Mp, 0, sizeof( Mp ) );
|
|
|
|
memcpy( Mp, N->p + P448_WIDTH, M.n * sizeof( mbedtls_mpi_uint ) );
|
|
|
|
|
|
|
|
/* N = A0 */
|
|
|
|
for( i = P448_WIDTH; i < N->n; i++ )
|
|
|
|
N->p[i] = 0;
|
|
|
|
|
|
|
|
/* N += A1 */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
|
|
|
|
|
|
|
|
/* Q = B1, N += B1 */
|
|
|
|
Q = M;
|
|
|
|
Q.p = Qp;
|
|
|
|
memcpy( Qp, Mp, sizeof( Qp ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &Q, 224 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &Q ) );
|
|
|
|
|
|
|
|
/* M = (B0 + B1) * 2^224, N += M */
|
|
|
|
if( sizeof( mbedtls_mpi_uint ) > 4 )
|
|
|
|
Mp[P224_WIDTH_MIN] &= ( (mbedtls_mpi_uint)-1 ) >> ( P224_UNUSED_BITS );
|
|
|
|
for( i = P224_WIDTH_MAX; i < M.n; ++i )
|
|
|
|
Mp[i] = 0;
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &M, &M, &Q ) );
|
|
|
|
M.n = P448_WIDTH + 1; /* Make room for shifted carry bit from the addition */
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_l( &M, 224 ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( N, N, &M ) );
|
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
|
|
|
#endif /* MBEDTLS_ECP_DP_CURVE448_ENABLED */
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED) || \
|
|
|
|
defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED) || \
|
|
|
|
defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
|
2014-01-17 23:17:10 +01:00
|
|
|
/*
|
2014-01-18 17:28:59 +01:00
|
|
|
* Fast quasi-reduction modulo P = 2^s - R,
|
|
|
|
* with R about 33 bits, used by the Koblitz curves.
|
2014-01-17 23:17:10 +01:00
|
|
|
*
|
2014-01-18 17:28:59 +01:00
|
|
|
* Write N as A0 + 2^224 A1, return A0 + R * A1.
|
2014-01-17 23:17:10 +01:00
|
|
|
* Actually do two passes, since R is big.
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( mbedtls_mpi_uint ) ) // Max limbs in P
|
|
|
|
#define P_KOBLITZ_R ( 8 / sizeof( mbedtls_mpi_uint ) ) // Limbs in R
|
|
|
|
static inline int ecp_mod_koblitz( mbedtls_mpi *N, mbedtls_mpi_uint *Rp, size_t p_limbs,
|
|
|
|
size_t adjust, size_t shift, mbedtls_mpi_uint mask )
|
2014-01-17 23:17:10 +01:00
|
|
|
{
|
2019-11-22 14:21:35 +01:00
|
|
|
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
|
2014-01-17 23:17:10 +01:00
|
|
|
size_t i;
|
2015-04-08 12:49:31 +02:00
|
|
|
mbedtls_mpi M, R;
|
2017-01-27 17:05:20 +01:00
|
|
|
mbedtls_mpi_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R + 1];
|
2014-01-17 23:17:10 +01:00
|
|
|
|
2014-01-18 17:28:59 +01:00
|
|
|
if( N->n < p_limbs )
|
2014-01-17 23:17:10 +01:00
|
|
|
return( 0 );
|
|
|
|
|
|
|
|
/* Init R */
|
|
|
|
R.s = 1;
|
2014-01-18 17:28:59 +01:00
|
|
|
R.p = Rp;
|
|
|
|
R.n = P_KOBLITZ_R;
|
2014-01-17 23:17:10 +01:00
|
|
|
|
|
|
|
/* Common setup for M */
|
|
|
|
M.s = 1;
|
|
|
|
M.p = Mp;
|
|
|
|
|
|
|
|
/* M = A1 */
|
2014-01-18 17:28:59 +01:00
|
|
|
M.n = N->n - ( p_limbs - adjust );
|
|
|
|
if( M.n > p_limbs + adjust )
|
|
|
|
M.n = p_limbs + adjust;
|
2014-01-17 23:17:10 +01:00
|
|
|
memset( Mp, 0, sizeof Mp );
|
2015-04-08 12:49:31 +02:00
|
|
|
memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
|
2014-06-17 16:39:18 +02:00
|
|
|
if( shift != 0 )
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
|
2017-01-27 17:05:20 +01:00
|
|
|
M.n += R.n; /* Make room for multiplication by R */
|
2014-01-17 23:17:10 +01:00
|
|
|
|
|
|
|
/* N = A0 */
|
2014-06-17 16:39:18 +02:00
|
|
|
if( mask != 0 )
|
2014-01-18 17:28:59 +01:00
|
|
|
N->p[p_limbs - 1] &= mask;
|
|
|
|
for( i = p_limbs; i < N->n; i++ )
|
2014-01-17 23:17:10 +01:00
|
|
|
N->p[i] = 0;
|
|
|
|
|
|
|
|
/* N = A0 + R * A1 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
|
2014-01-17 23:17:10 +01:00
|
|
|
|
|
|
|
/* Second pass */
|
|
|
|
|
|
|
|
/* M = A1 */
|
2014-01-18 17:28:59 +01:00
|
|
|
M.n = N->n - ( p_limbs - adjust );
|
|
|
|
if( M.n > p_limbs + adjust )
|
|
|
|
M.n = p_limbs + adjust;
|
2014-01-17 23:17:10 +01:00
|
|
|
memset( Mp, 0, sizeof Mp );
|
2015-04-08 12:49:31 +02:00
|
|
|
memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( mbedtls_mpi_uint ) );
|
2014-06-17 16:39:18 +02:00
|
|
|
if( shift != 0 )
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( &M, shift ) );
|
2017-01-27 17:05:20 +01:00
|
|
|
M.n += R.n; /* Make room for multiplication by R */
|
2014-01-17 23:17:10 +01:00
|
|
|
|
|
|
|
/* N = A0 */
|
2014-06-17 16:39:18 +02:00
|
|
|
if( mask != 0 )
|
2014-01-18 17:28:59 +01:00
|
|
|
N->p[p_limbs - 1] &= mask;
|
|
|
|
for( i = p_limbs; i < N->n; i++ )
|
2014-01-17 23:17:10 +01:00
|
|
|
N->p[i] = 0;
|
|
|
|
|
|
|
|
/* N = A0 + R * A1 */
|
2015-04-08 12:49:31 +02:00
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &M, &M, &R ) );
|
|
|
|
MBEDTLS_MPI_CHK( mbedtls_mpi_add_abs( N, N, &M ) );
|
2014-01-17 23:17:10 +01:00
|
|
|
|
|
|
|
cleanup:
|
|
|
|
return( ret );
|
|
|
|
}
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED) ||
|
|
|
|
MBEDTLS_ECP_DP_SECP224K1_ENABLED) ||
|
|
|
|
MBEDTLS_ECP_DP_SECP256K1_ENABLED) */
|
2014-01-18 17:28:59 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP192K1_ENABLED)
|
2014-01-18 17:28:59 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p192k1 = 2^192 - R,
|
|
|
|
* with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p192k1( mbedtls_mpi *N )
|
2014-01-18 17:28:59 +01:00
|
|
|
{
|
2015-04-08 12:49:31 +02:00
|
|
|
static mbedtls_mpi_uint Rp[] = {
|
2014-01-18 17:28:59 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
|
2014-01-18 17:28:59 +01:00
|
|
|
}
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
|
2014-01-18 17:28:59 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
|
2014-01-18 17:28:59 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p224k1 = 2^224 - R,
|
|
|
|
* with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p224k1( mbedtls_mpi *N )
|
2014-01-18 17:28:59 +01:00
|
|
|
{
|
2015-04-08 12:49:31 +02:00
|
|
|
static mbedtls_mpi_uint Rp[] = {
|
2014-01-18 17:28:59 +01:00
|
|
|
BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_HAVE_INT64)
|
2014-01-18 17:28:59 +01:00
|
|
|
return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
|
|
|
|
#else
|
2015-04-08 12:49:31 +02:00
|
|
|
return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
|
2014-01-18 17:28:59 +01:00
|
|
|
#endif
|
|
|
|
}
|
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
|
2014-01-18 17:28:59 +01:00
|
|
|
|
2015-04-08 12:49:31 +02:00
|
|
|
#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
|
2014-01-18 17:28:59 +01:00
|
|
|
/*
|
|
|
|
* Fast quasi-reduction modulo p256k1 = 2^256 - R,
|
|
|
|
* with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
|
|
|
|
*/
|
2015-04-08 12:49:31 +02:00
|
|
|
static int ecp_mod_p256k1( mbedtls_mpi *N )
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2014-01-18 17:28:59 +01:00
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{
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2015-04-08 12:49:31 +02:00
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static mbedtls_mpi_uint Rp[] = {
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2014-01-18 17:28:59 +01:00
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BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
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2015-04-08 12:49:31 +02:00
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return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( mbedtls_mpi_uint ), 0, 0, 0 ) );
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2014-01-18 17:28:59 +01:00
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}
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2015-04-08 12:49:31 +02:00
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#endif /* MBEDTLS_ECP_DP_SECP256K1_ENABLED */
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2014-01-17 23:17:10 +01:00
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2016-08-18 13:38:46 +02:00
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#endif /* !MBEDTLS_ECP_ALT */
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2015-04-08 12:49:31 +02:00
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#endif /* MBEDTLS_ECP_C */
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