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Use constant-time look-up for modular exponentiation

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Signed-off-by: Manuel Pégourié-Gonnard <manuel.pegourie-gonnard@arm.com>
This commit is contained in:
Manuel Pégourié-Gonnard 2021-03-09 11:22:20 +01:00
parent c4c0d819ce
commit e10e8db6d4
1 changed files with 31 additions and 2 deletions
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33
library/bignum.c
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@ -2126,6 +2126,32 @@ static void mpi_montred( mbedtls_mpi *A, const mbedtls_mpi *N,
mpi_montmul( A, &U, N, mm, T ); mpi_montmul( A, &U, N, mm, T );
} }
/**
* Select an MPI from a table without leaking the index.
*
* This is functionally equivalent to mbedtls_mpi_copy(R, T[idx]) except it
* reads the entire table in order to avoid leaking the value of idx to an
* attacker able to observe memory access patterns.
*
* \param[out] R Where to write the selected MPI.
* \param[in] T The table to read from.
* \param[in] T_size The number of elements in the table.
* \param[in] idx The index of the element to select;
* this must satisfy 0 <= idx < T_size.
*
* \return \c 0 on success, or a negative error code.
*/
static int mpi_select( mbedtls_mpi *R, const mbedtls_mpi *T, size_t T_size, size_t idx )
{
int ret = MBEDTLS_ERR_ERROR_CORRUPTION_DETECTED;
for( size_t i = 0; i < T_size; i++ )
MBEDTLS_MPI_CHK( mbedtls_mpi_safe_cond_assign( R, &T[i], i == idx ) );
cleanup:
return( ret );
}
/* /*
* Sliding-window exponentiation: X = A^E mod N (HAC 14.85) * Sliding-window exponentiation: X = A^E mod N (HAC 14.85)
*/ */
@ -2138,7 +2164,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
size_t i, j, nblimbs; size_t i, j, nblimbs;
size_t bufsize, nbits; size_t bufsize, nbits;
mbedtls_mpi_uint ei, mm, state; mbedtls_mpi_uint ei, mm, state;
mbedtls_mpi RR, T, W[ 1 << MBEDTLS_MPI_WINDOW_SIZE ], Apos; mbedtls_mpi RR, T, W[ 1 << MBEDTLS_MPI_WINDOW_SIZE ], WW, Apos;
int neg; int neg;
MPI_VALIDATE_RET( X != NULL ); MPI_VALIDATE_RET( X != NULL );
@ -2162,6 +2188,7 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
mpi_montg_init( &mm, N ); mpi_montg_init( &mm, N );
mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &T ); mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &T );
mbedtls_mpi_init( &Apos ); mbedtls_mpi_init( &Apos );
mbedtls_mpi_init( &WW );
memset( W, 0, sizeof( W ) ); memset( W, 0, sizeof( W ) );
i = mbedtls_mpi_bitlen( E ); i = mbedtls_mpi_bitlen( E );
@ -2302,7 +2329,8 @@ int mbedtls_mpi_exp_mod( mbedtls_mpi *X, const mbedtls_mpi *A,
/* /*
* X = X * W[wbits] R^-1 mod N * X = X * W[wbits] R^-1 mod N
*/ */
mpi_montmul( X, &W[wbits], N, mm, &T ); MBEDTLS_MPI_CHK( mpi_select( &WW, W, 1 << wsize, wbits ) );
mpi_montmul( X, &WW, N, mm, &T );
state--; state--;
nbits = 0; nbits = 0;
@ -2340,6 +2368,7 @@ cleanup:
mbedtls_mpi_free( &W[i] ); mbedtls_mpi_free( &W[i] );
mbedtls_mpi_free( &W[1] ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &Apos ); mbedtls_mpi_free( &W[1] ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &Apos );
mbedtls_mpi_free( &WW );
if( _RR == NULL || _RR->p == NULL ) if( _RR == NULL || _RR->p == NULL )
mbedtls_mpi_free( &RR ); mbedtls_mpi_free( &RR );