Make memory access pattern constant
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aade42fd88
commit
d728350cee
3 changed files with 28 additions and 18 deletions
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@ -246,7 +246,8 @@ void mpi_swap( mpi *X, mpi *Y );
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* if( assign ) mpi_copy( X, Y );
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* except that it avoids leaking any information about whether
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* the assignment was done or not (the above code may leak
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* information through branch prediction analysis).
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* information through branch prediction and/or memory access
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* patterns analysis).
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*/
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int mpi_safe_cond_assign( mpi *X, mpi *Y, unsigned char assign );
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@ -463,15 +463,15 @@ int ecp_sub( const ecp_group *grp, ecp_point *R,
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* or P is not a valid pubkey,
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* POLARSSL_ERR_MPI_MALLOC_FAILED if memory allocation failed
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*
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* \note In order to prevent simple timing attacks, this function
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* executes a constant number of operations (that is, point
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* doubling and addition of distinct points) for random m in
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* the allowed range.
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* \note In order to prevent timing attacks, this function
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* executes the exact same sequence of (base field)
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* operations for any valid m. It avoids any if-branch or
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* array index depending on the value of m.
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*
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* \note If f_rng is not NULL, it is used to randomize intermediate
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* results in order to prevent potential attacks targetting
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* these results. It is recommended to always provide a
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* non-NULL f_rng (the overhead is negligible).
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* results in order to prevent potential timing attacks
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* targetting these results. It is recommended to always
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* provide a non-NULL f_rng (the overhead is negligible).
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*/
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int ecp_mul( ecp_group *grp, ecp_point *R,
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const mpi *m, const ecp_point *P,
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@ -1385,14 +1385,23 @@ cleanup:
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* Select precomputed point: R = sign(i) * T[ abs(i) / 2 ]
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*/
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static int ecp_select_comb( const ecp_group *grp, ecp_point *R,
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const ecp_point T[], unsigned char i )
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ecp_point T[], unsigned char t_len,
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unsigned char i )
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{
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int ret;
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unsigned char ii, j;
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/* Ignore the "sign" bit */
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MPI_CHK( ecp_copy( R, &T[ ( i & 0x7Fu ) >> 1 ] ) );
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/* Ignore the "sign" bit and scale down */
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ii = ( i & 0x7Fu ) >> 1;
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/* Restore the Z coordinate */
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/* Read the whole table to thwart cache-based timing attacks */
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for( j = 0; j < t_len; j++ )
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{
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MPI_CHK( mpi_safe_cond_assign( &R->X, &T[j].X, j == ii ) );
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MPI_CHK( mpi_safe_cond_assign( &R->Y, &T[j].Y, j == ii ) );
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}
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/* The Z coordinate is always 1 */
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MPI_CHK( mpi_lset( &R->Z, 1 ) );
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/* Safely invert result if i is "negative" */
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@ -1409,7 +1418,7 @@ cleanup:
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* Cost: d A + d D + 1 R
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*/
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static int ecp_mul_comb_core( const ecp_group *grp, ecp_point *R,
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const ecp_point T[],
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ecp_point T[], unsigned char t_len,
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const unsigned char x[], size_t d,
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int (*f_rng)(void *, unsigned char *, size_t),
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void *p_rng )
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@ -1422,14 +1431,14 @@ static int ecp_mul_comb_core( const ecp_group *grp, ecp_point *R,
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/* Start with a non-zero point and randomize its coordinates */
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i = d;
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MPI_CHK( ecp_select_comb( grp, R, T, x[i] ) );
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MPI_CHK( ecp_select_comb( grp, R, T, t_len, x[i] ) );
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if( f_rng != 0 )
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MPI_CHK( ecp_randomize_coordinates( grp, R, f_rng, p_rng ) );
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while( i-- != 0 )
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{
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MPI_CHK( ecp_double_jac( grp, R, R ) );
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MPI_CHK( ecp_select_comb( grp, &Txi, T, x[i] ) );
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MPI_CHK( ecp_select_comb( grp, &Txi, T, t_len, x[i] ) );
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MPI_CHK( ecp_add_mixed( grp, R, R, &Txi ) );
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}
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@ -1447,8 +1456,8 @@ int ecp_mul( ecp_group *grp, ecp_point *R,
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int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
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{
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int ret;
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unsigned char w, m_is_odd, p_eq_g;
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size_t pre_len, d, i;
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unsigned char w, m_is_odd, p_eq_g, pre_len, i;
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size_t d;
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unsigned char k[COMB_MAX_D + 1];
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ecp_point *T;
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mpi M, mm;
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@ -1542,7 +1551,7 @@ int ecp_mul( ecp_group *grp, ecp_point *R,
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* Go for comb multiplication, R = M * P
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*/
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ecp_comb_fixed( k, d, w, &M );
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ecp_mul_comb_core( grp, R, T, k, d, f_rng, p_rng );
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MPI_CHK( ecp_mul_comb_core( grp, R, T, pre_len, k, d, f_rng, p_rng ) );
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/*
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* Now get m * P from M * P and normalize it
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