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Merged support for secp224k1, secp192k1 and secp25k1

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This commit is contained in:
Paul Bakker 2014-01-22 13:08:44 +01:00
commit 0ac99ca7bc
10 changed files with 319 additions and 8 deletions
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1
ChangeLog
View file

@ -2,6 +2,7 @@ PolarSSL ChangeLog (Sorted per branch, date)
= PolarSSL 1.3 branch
Features
* Support for the Koblitz curves: secp192k1, secp224k1, secp256k1
* Allow for use of PKCS#1 v2.1 via the PK layer (pk_rsa_set_padding() and
rsa_set_padding())

3
include/polarssl/config.h
View file

@ -259,6 +259,9 @@
#define POLARSSL_ECP_DP_SECP256R1_ENABLED
#define POLARSSL_ECP_DP_SECP384R1_ENABLED
#define POLARSSL_ECP_DP_SECP521R1_ENABLED
#define POLARSSL_ECP_DP_SECP192K1_ENABLED
#define POLARSSL_ECP_DP_SECP224K1_ENABLED
#define POLARSSL_ECP_DP_SECP256K1_ENABLED
#define POLARSSL_ECP_DP_BP256R1_ENABLED
#define POLARSSL_ECP_DP_BP384R1_ENABLED
#define POLARSSL_ECP_DP_BP512R1_ENABLED

5
include/polarssl/ecp.h
View file

@ -68,6 +68,9 @@ typedef enum
POLARSSL_ECP_DP_M255, /*!< Curve25519 */
POLARSSL_ECP_DP_M383, /*!< (not implemented yet) */
POLARSSL_ECP_DP_M511, /*!< (not implemented yet) */
POLARSSL_ECP_DP_SECP192K1, /*!< (not implemented yet) */
POLARSSL_ECP_DP_SECP224K1, /*!< (not implemented yet) */
POLARSSL_ECP_DP_SECP256K1, /*!< 256-bits Koblitz curve */
} ecp_group_id;
/**
@ -75,7 +78,7 @@ typedef enum
*
* (Montgomery curves excluded for now.)
*/
#define POLARSSL_ECP_DP_MAX 9
#define POLARSSL_ECP_DP_MAX 12
/**
* Curve information for use by other modules

14
include/polarssl/oid.h
View file

@ -263,7 +263,7 @@
#define OID_EC_ALG_ECDH OID_CERTICOM "\x01\x0c"
/*
* ECParameters namedCurve identifiers, from RFC 5480 and RFC 5639
* ECParameters namedCurve identifiers, from RFC 5480, RFC 5639, and SEC2
*/
/* secp192r1 OBJECT IDENTIFIER ::= {
@ -286,6 +286,18 @@
* iso(1) identified-organization(3) certicom(132) curve(0) 35 } */
#define OID_EC_GRP_SECP521R1 OID_CERTICOM "\x00\x23"
/* secp192k1 OBJECT IDENTIFIER ::= {
* iso(1) identified-organization(3) certicom(132) curve(0) 31 } */
#define OID_EC_GRP_SECP192K1 OID_CERTICOM "\x00\x1f"
/* secp224k1 OBJECT IDENTIFIER ::= {
* iso(1) identified-organization(3) certicom(132) curve(0) 32 } */
#define OID_EC_GRP_SECP224K1 OID_CERTICOM "\x00\x20"
/* secp256k1 OBJECT IDENTIFIER ::= {
* iso(1) identified-organization(3) certicom(132) curve(0) 10 } */
#define OID_EC_GRP_SECP256K1 OID_CERTICOM "\x00\x0a"
/* RFC 5639 4.1
* ecStdCurvesAndGeneration OBJECT IDENTIFIER::= {iso(1)
* identified-organization(3) teletrust(36) algorithm(3) signature-

2
library/ecdh.c
View file

@ -246,7 +246,7 @@ int ecdh_calc_secret( ecdh_context *ctx, size_t *olen,
if( mpi_size( &ctx->z ) > blen )
return( POLARSSL_ERR_ECP_BAD_INPUT_DATA );
*olen = ctx->grp.nbits / 8 + ( ( ctx->grp.nbits % 8 ) != 0 );
*olen = ctx->grp.pbits / 8 + ( ( ctx->grp.pbits % 8 ) != 0 );
return mpi_write_binary( &ctx->z, buf, *olen );
}

10
library/ecdsa.c
View file

@ -43,8 +43,16 @@
static int derive_mpi( const ecp_group *grp, mpi *x,
const unsigned char *buf, size_t blen )
{
int ret;
size_t n_size = (grp->nbits + 7) / 8;
return( mpi_read_binary( x, buf, blen > n_size ? n_size : blen ) );
size_t use_size = blen > n_size ? n_size : blen;
MPI_CHK( mpi_read_binary( x, buf, use_size ) );
if( use_size * 8 > grp->nbits )
MPI_CHK( mpi_shift_r( x, use_size * 8 - grp->nbits ) );
cleanup:
return( ret );
}
/*

9
library/ecp.c
View file

@ -140,6 +140,15 @@ static const ecp_curve_info ecp_supported_curves[] =
#endif
#if defined(POLARSSL_ECP_DP_SECP192R1_ENABLED)
{ POLARSSL_ECP_DP_SECP192R1, 19, 192, "secp192r1" },
#endif
#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
{ POLARSSL_ECP_DP_SECP256K1, 22, 256, "secp256k1" },
#endif
#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
{ POLARSSL_ECP_DP_SECP224K1, 20, 224, "secp224k1" },
#endif
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
{ POLARSSL_ECP_DP_SECP192K1, 18, 192, "secp192k1" },
#endif
{ POLARSSL_ECP_DP_NONE, 0, 0, NULL },
};

259
library/ecp_curves.c
View file

@ -318,6 +318,101 @@ static t_uint secp521r1_n[] = {
};
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
static t_uint secp192k1_p[] = {
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 ),
};
static t_uint secp192k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static t_uint secp192k1_b[] = {
BYTES_TO_T_UINT_2( 0x03, 0x00 ),
};
static t_uint secp192k1_gx[] = {
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 t_uint secp192k1_gy[] = {
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 t_uint secp192k1_n[] = {
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 ),
};
#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
static t_uint secp224k1_p[] = {
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 ),
};
static t_uint secp224k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static t_uint secp224k1_b[] = {
BYTES_TO_T_UINT_2( 0x05, 0x00 ),
};
static t_uint secp224k1_gx[] = {
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 ),
};
static t_uint secp224k1_gy[] = {
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 ),
};
static t_uint secp224k1_n[] = {
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 ),
};
#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
static t_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 t_uint secp256k1_a[] = {
BYTES_TO_T_UINT_2( 0x00, 0x00 ),
};
static t_uint secp256k1_b[] = {
BYTES_TO_T_UINT_2( 0x07, 0x00 ),
};
static t_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 t_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 t_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 ),
};
#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
/*
* Domain parameters for brainpoolP256r1 (RFC 5639 3.4)
*/
@ -548,15 +643,26 @@ static int ecp_mod_p384( mpi * );
#if defined(POLARSSL_ECP_DP_SECP521R1_ENABLED)
static int ecp_mod_p521( mpi * );
#endif
#if defined(POLARSSL_ECP_DP_M255_ENABLED)
static int ecp_mod_p255( mpi * );
#endif
#define NIST_MODP( P ) grp->modp = ecp_mod_ ## P;
#else
#define NIST_MODP( P )
#endif /* POLARSSL_ECP_NIST_OPTIM */
/* Additional forward declarations */
#if defined(POLARSSL_ECP_DP_M255_ENABLED)
static int ecp_mod_p255( mpi * );
#endif
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
static int ecp_mod_p192k1( mpi * );
#endif
#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
static int ecp_mod_p224k1( mpi * );
#endif
#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
static int ecp_mod_p256k1( mpi * );
#endif
#define LOAD_GROUP_A( G ) ecp_group_load( grp, \
G ## _p, sizeof( G ## _p ), \
G ## _a, sizeof( G ## _a ), \
@ -648,6 +754,24 @@ int ecp_use_known_dp( ecp_group *grp, ecp_group_id id )
return( LOAD_GROUP( secp521r1 ) );
#endif /* POLARSSL_ECP_DP_SECP521R1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
case POLARSSL_ECP_DP_SECP192K1:
grp->modp = ecp_mod_p192k1;
return( LOAD_GROUP_A( secp192k1 ) );
#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
case POLARSSL_ECP_DP_SECP224K1:
grp->modp = ecp_mod_p224k1;
return( LOAD_GROUP_A( secp224k1 ) );
#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
case POLARSSL_ECP_DP_SECP256K1:
grp->modp = ecp_mod_p256k1;
return( LOAD_GROUP_A( secp256k1 ) );
#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
#if defined(POLARSSL_ECP_DP_BP256R1_ENABLED)
case POLARSSL_ECP_DP_BP256R1:
return( LOAD_GROUP_A( brainpoolP256r1 ) );
@ -1085,7 +1209,7 @@ cleanup:
/*
* Fast quasi-reduction modulo p255 = 2^255 - 19
* Write N as A1 + 2^255 A1, return A0 + 19 * A1
* Write N as A0 + 2^255 A1, return A0 + 19 * A1
*/
static int ecp_mod_p255( mpi *N )
{
@ -1122,4 +1246,131 @@ cleanup:
}
#endif /* POLARSSL_ECP_DP_M255_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED) || \
defined(POLARSSL_ECP_DP_SECP224K1_ENABLED) || \
defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
/*
* Fast quasi-reduction modulo P = 2^s - R,
* with R about 33 bits, used by the Koblitz curves.
*
* Write N as A0 + 2^224 A1, return A0 + R * A1.
* Actually do two passes, since R is big.
*/
#define P_KOBLITZ_MAX ( 256 / 8 / sizeof( t_uint ) ) // Max limbs in P
#define P_KOBLITZ_R ( 8 / sizeof( t_uint ) ) // Limbs in R
static inline int ecp_mod_koblitz( mpi *N, t_uint *Rp, size_t p_limbs,
size_t adjust, size_t shift, t_uint mask )
{
int ret;
size_t i;
mpi M, R;
t_uint Mp[P_KOBLITZ_MAX + P_KOBLITZ_R];
if( N->n < p_limbs )
return( 0 );
/* Init R */
R.s = 1;
R.p = Rp;
R.n = P_KOBLITZ_R;
/* Common setup for M */
M.s = 1;
M.p = Mp;
/* M = A1 */
M.n = N->n - ( p_limbs - adjust );
if( M.n > p_limbs + adjust )
M.n = p_limbs + adjust;
memset( Mp, 0, sizeof Mp );
memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( t_uint ) );
if (shift != 0 )
MPI_CHK( mpi_shift_r( &M, shift ) );
M.n += R.n - adjust; /* Make room for multiplication by R */
/* N = A0 */
if (mask != 0 )
N->p[p_limbs - 1] &= mask;
for( i = p_limbs; i < N->n; i++ )
N->p[i] = 0;
/* N = A0 + R * A1 */
MPI_CHK( mpi_mul_mpi( &M, &M, &R ) );
MPI_CHK( mpi_add_abs( N, N, &M ) );
/* Second pass */
/* M = A1 */
M.n = N->n - ( p_limbs - adjust );
if( M.n > p_limbs + adjust )
M.n = p_limbs + adjust;
memset( Mp, 0, sizeof Mp );
memcpy( Mp, N->p + p_limbs - adjust, M.n * sizeof( t_uint ) );
if (shift != 0 )
MPI_CHK( mpi_shift_r( &M, shift ) );
M.n += R.n - adjust; /* Make room for multiplication by R */
/* N = A0 */
if (mask != 0 )
N->p[p_limbs - 1] &= mask;
for( i = p_limbs; i < N->n; i++ )
N->p[i] = 0;
/* N = A0 + R * A1 */
MPI_CHK( mpi_mul_mpi( &M, &M, &R ) );
MPI_CHK( mpi_add_abs( N, N, &M ) );
cleanup:
return( ret );
}
#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED) ||
POLARSSL_ECP_DP_SECP224K1_ENABLED) ||
POLARSSL_ECP_DP_SECP256K1_ENABLED) */
#if defined(POLARSSL_ECP_DP_SECP192K1_ENABLED)
/*
* Fast quasi-reduction modulo p192k1 = 2^192 - R,
* with R = 2^32 + 2^12 + 2^8 + 2^7 + 2^6 + 2^3 + 1 = 0x0100001119
*/
static int ecp_mod_p192k1( mpi *N )
{
static t_uint Rp[] = {
BYTES_TO_T_UINT_8( 0xC9, 0x11, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
return( ecp_mod_koblitz( N, Rp, 192 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
}
#endif /* POLARSSL_ECP_DP_SECP192K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP224K1_ENABLED)
/*
* 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
*/
static int ecp_mod_p224k1( mpi *N )
{
static t_uint Rp[] = {
BYTES_TO_T_UINT_8( 0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
#if defined(POLARSSL_HAVE_INT64)
return( ecp_mod_koblitz( N, Rp, 4, 1, 32, 0xFFFFFFFF ) );
#else
return( ecp_mod_koblitz( N, Rp, 224 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
#endif
}
#endif /* POLARSSL_ECP_DP_SECP224K1_ENABLED */
#if defined(POLARSSL_ECP_DP_SECP256K1_ENABLED)
/*
* Fast quasi-reduction modulo p256k1 = 2^256 - R,
* with R = 2^32 + 2^9 + 2^8 + 2^7 + 2^6 + 2^4 + 1 = 0x01000003D1
*/
static int ecp_mod_p256k1( mpi *N )
{
static t_uint Rp[] = {
BYTES_TO_T_UINT_8( 0xD1, 0x03, 0x00, 0x00, 0x01, 0x00, 0x00, 0x00 ) };
return( ecp_mod_koblitz( N, Rp, 256 / 8 / sizeof( t_uint ), 0, 0, 0 ) );
}
#endif /* POLARSSL_ECP_DP_SECP256K1_ENABLED */
#endif

12
library/oid.c
View file

@ -402,6 +402,18 @@ static const oid_ecp_grp_t oid_ecp_grp[] =
{ ADD_LEN( OID_EC_GRP_SECP521R1 ), "secp521r1", "secp521r1" },
POLARSSL_ECP_DP_SECP521R1,
},
{
{ ADD_LEN( OID_EC_GRP_SECP192K1 ), "secp192k1", "secp192k1" },
POLARSSL_ECP_DP_SECP192K1,
},
{
{ ADD_LEN( OID_EC_GRP_SECP224K1 ), "secp224k1", "secp224k1" },
POLARSSL_ECP_DP_SECP224K1,
},
{
{ ADD_LEN( OID_EC_GRP_SECP256K1 ), "secp256k1", "secp256k1" },
POLARSSL_ECP_DP_SECP256K1,
},
{
{ ADD_LEN( OID_EC_GRP_BP256R1 ), "brainpoolP256r1","brainpool256r1" },
POLARSSL_ECP_DP_BP256R1,

12
tests/suites/test_suite_ecp.data
View file

@ -423,5 +423,17 @@ ECP test vectors M255 aka Curve25519
depends_on:POLARSSL_ECP_DP_M255_ENABLED
ecp_test_vec_x:POLARSSL_ECP_DP_M255:"5AC99F33632E5A768DE7E81BF854C27C46E3FBF2ABBACD29EC4AFF517369C660":"057E23EA9F1CBE8A27168F6E696A791DE61DD3AF7ACD4EEACC6E7BA514FDA863":"47DC3D214174820E1154B49BC6CDB2ABD45EE95817055D255AA35831B70D3260":"6EB89DA91989AE37C7EAC7618D9E5C4951DBA1D73C285AE1CD26A855020EEF04":"61450CD98E36016B58776A897A9F0AEF738B99F09468B8D6B8511184D53494AB"
ECP test vectors secp192k1
depends_on:POLARSSL_ECP_DP_SECP192K1_ENABLED
ecp_test_vect:POLARSSL_ECP_DP_SECP192K1:"D1E13A359F6E0F0698791938E6D60246030AE4B0D8D4E9DE":"281BCA982F187ED30AD5E088461EBE0A5FADBB682546DF79":"3F68A8E9441FB93A4DD48CB70B504FCC9AA01902EF5BE0F3":"BE97C5D2A1A94D081E3FACE53E65A27108B7467BDF58DE43":"5EB35E922CD693F7947124F5920022C4891C04F6A8B8DCB2":"60ECF73D0FC43E0C42E8E155FFE39F9F0B531F87B34B6C3C":"372F5C5D0E18313C82AEF940EC3AFEE26087A46F1EBAE923":"D5A9F9182EC09CEAEA5F57EA10225EC77FA44174511985FD"
ECP test vectors secp224k1
depends_on:POLARSSL_ECP_DP_SECP224K1_ENABLED
ecp_test_vect:POLARSSL_ECP_DP_SECP224K1:"8EAD9B2819A3C2746B3EDC1E0D30F23271CDAC048C0615C961B1A9D3":"DEE0A75EF26CF8F501DB80807A3A0908E5CF01852709C1D35B31428B":"276D2B817918F7CD1DA5CCA081EC4B62CD255E0ACDC9F85FA8C52CAC":"AB7E70AEDA68A174ECC1F3800561B2D4FABE97C5D2A1A94D081E3FAC":"D2E94B00FD30201C40EDF73B137427916687AEA1935B277A5960DD1C":"DE728A614B17D91EB3CB2C17DA195562B6281585986332B3E12DA0ED":"B66B673D29038A3487A2D9C10CDCE67646F7C39C984EBE9E8795AD3C":"928C6147AF5EE4B54FA6ECF77B70CA3FEE5F4182DB057878F129DF":
ECP test vectors secp256k1
depends_on:POLARSSL_ECP_DP_SECP256K1_ENABLED
ecp_test_vect:POLARSSL_ECP_DP_SECP256K1:"923C6D4756CD940CD1E13A359F6E0F0698791938E6D60246030AE4B0D8D4E9DE":"20A865B295E93C5B090F324B84D7AC7526AA1CFE86DD80E792CECCD16B657D55":"38AC87141A4854A8DFD87333E107B61692323721FE2EAD6E52206FE471A4771B":"4F5036A8ED5809AB7E70AEDA68A174ECC1F3800561B2D4FABE97C5D2A1A94D08":"029F5D2CC5A2C7E538FBA321439B4EC8DD79B7FEB9C0A8A5114EEA39856E22E8":"165171AFC3411A427F24FDDE1192A551C90983EB421BC982AB4CF4E21F18F04B":"E4B5B537D3ACEA7624F2E9C185BFFD80BC7035E515F33E0D4CFAE747FD20038E":"2BC685B7DCDBC694F5E036C4EAE9BFB489D7BF8940C4681F734B71D68501514C"
ECP selftest
ecp_selftest: