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mbedtls/library/rsa.c
Manuel Pégourié-Gonnard f0b469e42b Merge branch 'mbedtls-2.16' into mbedtls-2.16-restricted 
* mbedtls-2.16: (32 commits)
  A different approach of signed-to-unsigned comparison
  Fix bug in redirection of unit test outputs
  Don't forget to free G, P, Q, ctr_drbg, and entropy
  Backport e2k support to mbedtls-2.7
  compat.sh: stop using allow_sha1
  compat.sh: quit using SHA-1 certificates
  compat.sh: enable CBC-SHA-2 suites for GnuTLS
  Fix license header in pre-commit hook
  Update copyright notices to use Linux Foundation guidance
  Fix building on NetBSD 9.0
  Remove obsolete buildbot reference in compat.sh
  Fix misuse of printf in shell script
  Fix added proxy command when IPv6 is used
  Simplify test syntax
  Fix logic error in setting client port
  ssl-opt.sh: include test name in log files
  ssl-opt.sh: remove old buildbot-specific condition
  ssl-opt.sh: add proxy to all DTLS tests
  Log change as bugfix
  Add changelog entry
  ...
2020-08-25 10:58:15 +02:00

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/*
* The RSA public-key cryptosystem
*
* Copyright The Mbed TLS Contributors
* SPDX-License-Identifier: Apache-2.0 OR GPL-2.0-or-later
*
* This file is provided under the Apache License 2.0, or the
* GNU General Public License v2.0 or later.
*
* **********
* Apache License 2.0:
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may
* not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS, WITHOUT
* WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*
* **********
*
* **********
* GNU General Public License v2.0 or later:
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License along
* with this program; if not, write to the Free Software Foundation, Inc.,
* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
*
* **********
*/
/*
* The following sources were referenced in the design of this implementation
* of the RSA algorithm:
*
* [1] A method for obtaining digital signatures and public-key cryptosystems
* R Rivest, A Shamir, and L Adleman
* http://people.csail.mit.edu/rivest/pubs.html#RSA78
*
* [2] Handbook of Applied Cryptography - 1997, Chapter 8
* Menezes, van Oorschot and Vanstone
*
* [3] Malware Guard Extension: Using SGX to Conceal Cache Attacks
* Michael Schwarz, Samuel Weiser, Daniel Gruss, Clémentine Maurice and
* Stefan Mangard
* https://arxiv.org/abs/1702.08719v2
*
*/
#if !defined(MBEDTLS_CONFIG_FILE)
#include "mbedtls/config.h"
#else
#include MBEDTLS_CONFIG_FILE
#endif
#if defined(MBEDTLS_RSA_C)
#include "mbedtls/rsa.h"
#include "mbedtls/rsa_internal.h"
#include "mbedtls/oid.h"
#include "mbedtls/platform_util.h"
#include <string.h>
#if defined(MBEDTLS_PKCS1_V21)
#include "mbedtls/md.h"
#endif
#if defined(MBEDTLS_PKCS1_V15) && !defined(__OpenBSD__) && !defined(__NetBSD__)
#include <stdlib.h>
#endif
#if defined(MBEDTLS_PLATFORM_C)
#include "mbedtls/platform.h"
#else
#include <stdio.h>
#define mbedtls_printf printf
#define mbedtls_calloc calloc
#define mbedtls_free free
#endif
#if !defined(MBEDTLS_RSA_ALT)
/* Parameter validation macros */
#define RSA_VALIDATE_RET( cond ) \
MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_RSA_BAD_INPUT_DATA )
#define RSA_VALIDATE( cond ) \
MBEDTLS_INTERNAL_VALIDATE( cond )
#if defined(MBEDTLS_PKCS1_V15)
/* constant-time buffer comparison */
static inline int mbedtls_safer_memcmp( const void *a, const void *b, size_t n )
{
size_t i;
const unsigned char *A = (const unsigned char *) a;
const unsigned char *B = (const unsigned char *) b;
unsigned char diff = 0;
for( i = 0; i < n; i++ )
diff |= A[i] ^ B[i];
return( diff );
}
#endif /* MBEDTLS_PKCS1_V15 */
int mbedtls_rsa_import( mbedtls_rsa_context *ctx,
const mbedtls_mpi *N,
const mbedtls_mpi *P, const mbedtls_mpi *Q,
const mbedtls_mpi *D, const mbedtls_mpi *E )
{
int ret;
RSA_VALIDATE_RET( ctx != NULL );
if( ( N != NULL && ( ret = mbedtls_mpi_copy( &ctx->N, N ) ) != 0 ) ||
( P != NULL && ( ret = mbedtls_mpi_copy( &ctx->P, P ) ) != 0 ) ||
( Q != NULL && ( ret = mbedtls_mpi_copy( &ctx->Q, Q ) ) != 0 ) ||
( D != NULL && ( ret = mbedtls_mpi_copy( &ctx->D, D ) ) != 0 ) ||
( E != NULL && ( ret = mbedtls_mpi_copy( &ctx->E, E ) ) != 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
if( N != NULL )
ctx->len = mbedtls_mpi_size( &ctx->N );
return( 0 );
}
int mbedtls_rsa_import_raw( mbedtls_rsa_context *ctx,
unsigned char const *N, size_t N_len,
unsigned char const *P, size_t P_len,
unsigned char const *Q, size_t Q_len,
unsigned char const *D, size_t D_len,
unsigned char const *E, size_t E_len )
{
int ret = 0;
RSA_VALIDATE_RET( ctx != NULL );
if( N != NULL )
{
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->N, N, N_len ) );
ctx->len = mbedtls_mpi_size( &ctx->N );
}
if( P != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->P, P, P_len ) );
if( Q != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->Q, Q, Q_len ) );
if( D != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->D, D, D_len ) );
if( E != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &ctx->E, E, E_len ) );
cleanup:
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
return( 0 );
}
/*
* Checks whether the context fields are set in such a way
* that the RSA primitives will be able to execute without error.
* It does *not* make guarantees for consistency of the parameters.
*/
static int rsa_check_context( mbedtls_rsa_context const *ctx, int is_priv,
int blinding_needed )
{
#if !defined(MBEDTLS_RSA_NO_CRT)
/* blinding_needed is only used for NO_CRT to decide whether
* P,Q need to be present or not. */
((void) blinding_needed);
#endif
if( ctx->len != mbedtls_mpi_size( &ctx->N ) ||
ctx->len > MBEDTLS_MPI_MAX_SIZE )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
/*
* 1. Modular exponentiation needs positive, odd moduli.
*/
/* Modular exponentiation wrt. N is always used for
* RSA public key operations. */
if( mbedtls_mpi_cmp_int( &ctx->N, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->N, 0 ) == 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#if !defined(MBEDTLS_RSA_NO_CRT)
/* Modular exponentiation for P and Q is only
* used for private key operations and if CRT
* is used. */
if( is_priv &&
( mbedtls_mpi_cmp_int( &ctx->P, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->P, 0 ) == 0 ||
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) <= 0 ||
mbedtls_mpi_get_bit( &ctx->Q, 0 ) == 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif /* !MBEDTLS_RSA_NO_CRT */
/*
* 2. Exponents must be positive
*/
/* Always need E for public key operations */
if( mbedtls_mpi_cmp_int( &ctx->E, 0 ) <= 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#if defined(MBEDTLS_RSA_NO_CRT)
/* For private key operations, use D or DP & DQ
* as (unblinded) exponents. */
if( is_priv && mbedtls_mpi_cmp_int( &ctx->D, 0 ) <= 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#else
if( is_priv &&
( mbedtls_mpi_cmp_int( &ctx->DP, 0 ) <= 0 ||
mbedtls_mpi_cmp_int( &ctx->DQ, 0 ) <= 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif /* MBEDTLS_RSA_NO_CRT */
/* Blinding shouldn't make exponents negative either,
* so check that P, Q >= 1 if that hasn't yet been
* done as part of 1. */
#if defined(MBEDTLS_RSA_NO_CRT)
if( is_priv && blinding_needed &&
( mbedtls_mpi_cmp_int( &ctx->P, 0 ) <= 0 ||
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) <= 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif
/* It wouldn't lead to an error if it wasn't satisfied,
* but check for QP >= 1 nonetheless. */
#if !defined(MBEDTLS_RSA_NO_CRT)
if( is_priv &&
mbedtls_mpi_cmp_int( &ctx->QP, 0 ) <= 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#endif
return( 0 );
}
int mbedtls_rsa_complete( mbedtls_rsa_context *ctx )
{
int ret = 0;
int have_N, have_P, have_Q, have_D, have_E;
#if !defined(MBEDTLS_RSA_NO_CRT)
int have_DP, have_DQ, have_QP;
#endif
int n_missing, pq_missing, d_missing, is_pub, is_priv;
RSA_VALIDATE_RET( ctx != NULL );
have_N = ( mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 );
have_P = ( mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 );
have_Q = ( mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 );
have_D = ( mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 );
have_E = ( mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0 );
#if !defined(MBEDTLS_RSA_NO_CRT)
have_DP = ( mbedtls_mpi_cmp_int( &ctx->DP, 0 ) != 0 );
have_DQ = ( mbedtls_mpi_cmp_int( &ctx->DQ, 0 ) != 0 );
have_QP = ( mbedtls_mpi_cmp_int( &ctx->QP, 0 ) != 0 );
#endif
/*
* Check whether provided parameters are enough
* to deduce all others. The following incomplete
* parameter sets for private keys are supported:
*
* (1) P, Q missing.
* (2) D and potentially N missing.
*
*/
n_missing = have_P && have_Q && have_D && have_E;
pq_missing = have_N && !have_P && !have_Q && have_D && have_E;
d_missing = have_P && have_Q && !have_D && have_E;
is_pub = have_N && !have_P && !have_Q && !have_D && have_E;
/* These three alternatives are mutually exclusive */
is_priv = n_missing || pq_missing || d_missing;
if( !is_priv && !is_pub )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* Step 1: Deduce N if P, Q are provided.
*/
if( !have_N && have_P && have_Q )
{
if( ( ret = mbedtls_mpi_mul_mpi( &ctx->N, &ctx->P,
&ctx->Q ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
ctx->len = mbedtls_mpi_size( &ctx->N );
}
/*
* Step 2: Deduce and verify all remaining core parameters.
*/
if( pq_missing )
{
ret = mbedtls_rsa_deduce_primes( &ctx->N, &ctx->E, &ctx->D,
&ctx->P, &ctx->Q );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
else if( d_missing )
{
if( ( ret = mbedtls_rsa_deduce_private_exponent( &ctx->P,
&ctx->Q,
&ctx->E,
&ctx->D ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
}
/*
* Step 3: Deduce all additional parameters specific
* to our current RSA implementation.
*/
#if !defined(MBEDTLS_RSA_NO_CRT)
if( is_priv && ! ( have_DP && have_DQ && have_QP ) )
{
ret = mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#endif /* MBEDTLS_RSA_NO_CRT */
/*
* Step 3: Basic sanity checks
*/
return( rsa_check_context( ctx, is_priv, 1 ) );
}
int mbedtls_rsa_export_raw( const mbedtls_rsa_context *ctx,
unsigned char *N, size_t N_len,
unsigned char *P, size_t P_len,
unsigned char *Q, size_t Q_len,
unsigned char *D, size_t D_len,
unsigned char *E, size_t E_len )
{
int ret = 0;
int is_priv;
RSA_VALIDATE_RET( ctx != NULL );
/* Check if key is private or public */
is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
{
/* If we're trying to export private parameters for a public key,
* something must be wrong. */
if( P != NULL || Q != NULL || D != NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
if( N != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->N, N, N_len ) );
if( P != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->P, P, P_len ) );
if( Q != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->Q, Q, Q_len ) );
if( D != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->D, D, D_len ) );
if( E != NULL )
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &ctx->E, E, E_len ) );
cleanup:
return( ret );
}
int mbedtls_rsa_export( const mbedtls_rsa_context *ctx,
mbedtls_mpi *N, mbedtls_mpi *P, mbedtls_mpi *Q,
mbedtls_mpi *D, mbedtls_mpi *E )
{
int ret;
int is_priv;
RSA_VALIDATE_RET( ctx != NULL );
/* Check if key is private or public */
is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
{
/* If we're trying to export private parameters for a public key,
* something must be wrong. */
if( P != NULL || Q != NULL || D != NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
/* Export all requested core parameters. */
if( ( N != NULL && ( ret = mbedtls_mpi_copy( N, &ctx->N ) ) != 0 ) ||
( P != NULL && ( ret = mbedtls_mpi_copy( P, &ctx->P ) ) != 0 ) ||
( Q != NULL && ( ret = mbedtls_mpi_copy( Q, &ctx->Q ) ) != 0 ) ||
( D != NULL && ( ret = mbedtls_mpi_copy( D, &ctx->D ) ) != 0 ) ||
( E != NULL && ( ret = mbedtls_mpi_copy( E, &ctx->E ) ) != 0 ) )
{
return( ret );
}
return( 0 );
}
/*
* Export CRT parameters
* This must also be implemented if CRT is not used, for being able to
* write DER encoded RSA keys. The helper function mbedtls_rsa_deduce_crt
* can be used in this case.
*/
int mbedtls_rsa_export_crt( const mbedtls_rsa_context *ctx,
mbedtls_mpi *DP, mbedtls_mpi *DQ, mbedtls_mpi *QP )
{
int ret;
int is_priv;
RSA_VALIDATE_RET( ctx != NULL );
/* Check if key is private or public */
is_priv =
mbedtls_mpi_cmp_int( &ctx->N, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->P, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->Q, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->D, 0 ) != 0 &&
mbedtls_mpi_cmp_int( &ctx->E, 0 ) != 0;
if( !is_priv )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
#if !defined(MBEDTLS_RSA_NO_CRT)
/* Export all requested blinding parameters. */
if( ( DP != NULL && ( ret = mbedtls_mpi_copy( DP, &ctx->DP ) ) != 0 ) ||
( DQ != NULL && ( ret = mbedtls_mpi_copy( DQ, &ctx->DQ ) ) != 0 ) ||
( QP != NULL && ( ret = mbedtls_mpi_copy( QP, &ctx->QP ) ) != 0 ) )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#else
if( ( ret = mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
DP, DQ, QP ) ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA + ret );
}
#endif
return( 0 );
}
/*
* Initialize an RSA context
*/
void mbedtls_rsa_init( mbedtls_rsa_context *ctx,
int padding,
int hash_id )
{
RSA_VALIDATE( ctx != NULL );
RSA_VALIDATE( padding == MBEDTLS_RSA_PKCS_V15 ||
padding == MBEDTLS_RSA_PKCS_V21 );
memset( ctx, 0, sizeof( mbedtls_rsa_context ) );
mbedtls_rsa_set_padding( ctx, padding, hash_id );
#if defined(MBEDTLS_THREADING_C)
mbedtls_mutex_init( &ctx->mutex );
#endif
}
/*
* Set padding for an existing RSA context
*/
void mbedtls_rsa_set_padding( mbedtls_rsa_context *ctx, int padding,
int hash_id )
{
RSA_VALIDATE( ctx != NULL );
RSA_VALIDATE( padding == MBEDTLS_RSA_PKCS_V15 ||
padding == MBEDTLS_RSA_PKCS_V21 );
ctx->padding = padding;
ctx->hash_id = hash_id;
}
/*
* Get length in bytes of RSA modulus
*/
size_t mbedtls_rsa_get_len( const mbedtls_rsa_context *ctx )
{
return( ctx->len );
}
#if defined(MBEDTLS_GENPRIME)
/*
* Generate an RSA keypair
*
* This generation method follows the RSA key pair generation procedure of
* FIPS 186-4 if 2^16 < exponent < 2^256 and nbits = 2048 or nbits = 3072.
*/
int mbedtls_rsa_gen_key( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
unsigned int nbits, int exponent )
{
int ret;
mbedtls_mpi H, G, L;
int prime_quality = 0;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( f_rng != NULL );
if( nbits < 128 || exponent < 3 || nbits % 2 != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* If the modulus is 1024 bit long or shorter, then the security strength of
* the RSA algorithm is less than or equal to 80 bits and therefore an error
* rate of 2^-80 is sufficient.
*/
if( nbits > 1024 )
prime_quality = MBEDTLS_MPI_GEN_PRIME_FLAG_LOW_ERR;
mbedtls_mpi_init( &H );
mbedtls_mpi_init( &G );
mbedtls_mpi_init( &L );
/*
* find primes P and Q with Q < P so that:
* 1. |P-Q| > 2^( nbits / 2 - 100 )
* 2. GCD( E, (P-1)*(Q-1) ) == 1
* 3. E^-1 mod LCM(P-1, Q-1) > 2^( nbits / 2 )
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &ctx->E, exponent ) );
do
{
MBEDTLS_MPI_CHK( mbedtls_mpi_gen_prime( &ctx->P, nbits >> 1,
prime_quality, f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_gen_prime( &ctx->Q, nbits >> 1,
prime_quality, f_rng, p_rng ) );
/* make sure the difference between p and q is not too small (FIPS 186-4 §B.3.3 step 5.4) */
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &H, &ctx->P, &ctx->Q ) );
if( mbedtls_mpi_bitlen( &H ) <= ( ( nbits >= 200 ) ? ( ( nbits >> 1 ) - 99 ) : 0 ) )
continue;
/* not required by any standards, but some users rely on the fact that P > Q */
if( H.s < 0 )
mbedtls_mpi_swap( &ctx->P, &ctx->Q );
/* Temporarily replace P,Q by P-1, Q-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->P, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &ctx->Q, &ctx->Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &H, &ctx->P, &ctx->Q ) );
/* check GCD( E, (P-1)*(Q-1) ) == 1 (FIPS 186-4 §B.3.1 criterion 2(a)) */
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G, &ctx->E, &H ) );
if( mbedtls_mpi_cmp_int( &G, 1 ) != 0 )
continue;
/* compute smallest possible D = E^-1 mod LCM(P-1, Q-1) (FIPS 186-4 §B.3.1 criterion 3(b)) */
MBEDTLS_MPI_CHK( mbedtls_mpi_gcd( &G, &ctx->P, &ctx->Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_div_mpi( &L, NULL, &H, &G ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &ctx->D, &ctx->E, &L ) );
if( mbedtls_mpi_bitlen( &ctx->D ) <= ( ( nbits + 1 ) / 2 ) ) // (FIPS 186-4 §B.3.1 criterion 3(a))
continue;
break;
}
while( 1 );
/* Restore P,Q */
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->P, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_int( &ctx->Q, &ctx->Q, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->N, &ctx->P, &ctx->Q ) );
ctx->len = mbedtls_mpi_size( &ctx->N );
#if !defined(MBEDTLS_RSA_NO_CRT)
/*
* DP = D mod (P - 1)
* DQ = D mod (Q - 1)
* QP = Q^-1 mod P
*/
MBEDTLS_MPI_CHK( mbedtls_rsa_deduce_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP ) );
#endif /* MBEDTLS_RSA_NO_CRT */
/* Double-check */
MBEDTLS_MPI_CHK( mbedtls_rsa_check_privkey( ctx ) );
cleanup:
mbedtls_mpi_free( &H );
mbedtls_mpi_free( &G );
mbedtls_mpi_free( &L );
if( ret != 0 )
{
mbedtls_rsa_free( ctx );
return( MBEDTLS_ERR_RSA_KEY_GEN_FAILED + ret );
}
return( 0 );
}
#endif /* MBEDTLS_GENPRIME */
/*
* Check a public RSA key
*/
int mbedtls_rsa_check_pubkey( const mbedtls_rsa_context *ctx )
{
RSA_VALIDATE_RET( ctx != NULL );
if( rsa_check_context( ctx, 0 /* public */, 0 /* no blinding */ ) != 0 )
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
if( mbedtls_mpi_bitlen( &ctx->N ) < 128 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
if( mbedtls_mpi_get_bit( &ctx->E, 0 ) == 0 ||
mbedtls_mpi_bitlen( &ctx->E ) < 2 ||
mbedtls_mpi_cmp_mpi( &ctx->E, &ctx->N ) >= 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
return( 0 );
}
/*
* Check for the consistency of all fields in an RSA private key context
*/
int mbedtls_rsa_check_privkey( const mbedtls_rsa_context *ctx )
{
RSA_VALIDATE_RET( ctx != NULL );
if( mbedtls_rsa_check_pubkey( ctx ) != 0 ||
rsa_check_context( ctx, 1 /* private */, 1 /* blinding */ ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
if( mbedtls_rsa_validate_params( &ctx->N, &ctx->P, &ctx->Q,
&ctx->D, &ctx->E, NULL, NULL ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
#if !defined(MBEDTLS_RSA_NO_CRT)
else if( mbedtls_rsa_validate_crt( &ctx->P, &ctx->Q, &ctx->D,
&ctx->DP, &ctx->DQ, &ctx->QP ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
#endif
return( 0 );
}
/*
* Check if contexts holding a public and private key match
*/
int mbedtls_rsa_check_pub_priv( const mbedtls_rsa_context *pub,
const mbedtls_rsa_context *prv )
{
RSA_VALIDATE_RET( pub != NULL );
RSA_VALIDATE_RET( prv != NULL );
if( mbedtls_rsa_check_pubkey( pub ) != 0 ||
mbedtls_rsa_check_privkey( prv ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
if( mbedtls_mpi_cmp_mpi( &pub->N, &prv->N ) != 0 ||
mbedtls_mpi_cmp_mpi( &pub->E, &prv->E ) != 0 )
{
return( MBEDTLS_ERR_RSA_KEY_CHECK_FAILED );
}
return( 0 );
}
/*
* Do an RSA public key operation
*/
int mbedtls_rsa_public( mbedtls_rsa_context *ctx,
const unsigned char *input,
unsigned char *output )
{
int ret;
size_t olen;
mbedtls_mpi T;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( output != NULL );
if( rsa_check_context( ctx, 0 /* public */, 0 /* no blinding */ ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
mbedtls_mpi_init( &T );
#if defined(MBEDTLS_THREADING_C)
if( ( ret = mbedtls_mutex_lock( &ctx->mutex ) ) != 0 )
return( ret );
#endif
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &T, input, ctx->len ) );
if( mbedtls_mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
{
ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
goto cleanup;
}
olen = ctx->len;
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &T, &T, &ctx->E, &ctx->N, &ctx->RN ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &T, output, olen ) );
cleanup:
#if defined(MBEDTLS_THREADING_C)
if( mbedtls_mutex_unlock( &ctx->mutex ) != 0 )
return( MBEDTLS_ERR_THREADING_MUTEX_ERROR );
#endif
mbedtls_mpi_free( &T );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_PUBLIC_FAILED + ret );
return( 0 );
}
/*
* Generate or update blinding values, see section 10 of:
* KOCHER, Paul C. Timing attacks on implementations of Diffie-Hellman, RSA,
* DSS, and other systems. In : Advances in Cryptology-CRYPTO'96. Springer
* Berlin Heidelberg, 1996. p. 104-113.
*/
static int rsa_prepare_blinding( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
int ret, count = 0;
mbedtls_mpi R;
mbedtls_mpi_init( &R );
if( ctx->Vf.p != NULL )
{
/* We already have blinding values, just update them by squaring */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vi, &ctx->Vi, &ctx->Vi ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vi, &ctx->Vi, &ctx->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vf, &ctx->Vf, &ctx->Vf ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vf, &ctx->Vf, &ctx->N ) );
goto cleanup;
}
/* Unblinding value: Vf = random number, invertible mod N */
do {
if( count++ > 10 )
{
ret = MBEDTLS_ERR_RSA_RNG_FAILED;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &ctx->Vf, ctx->len - 1, f_rng, p_rng ) );
/* Compute Vf^-1 as R * (R Vf)^-1 to avoid leaks from inv_mod. */
MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &R, ctx->len - 1, f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vi, &ctx->Vf, &R ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vi, &ctx->Vi, &ctx->N ) );
/* At this point, Vi is invertible mod N if and only if both Vf and R
* are invertible mod N. If one of them isn't, we don't need to know
* which one, we just loop and choose new values for both of them.
* (Each iteration succeeds with overwhelming probability.) */
ret = mbedtls_mpi_inv_mod( &ctx->Vi, &ctx->Vi, &ctx->N );
if( ret == MBEDTLS_ERR_MPI_NOT_ACCEPTABLE )
continue;
if( ret != 0 )
goto cleanup;
/* Finish the computation of Vf^-1 = R * (R Vf)^-1 */
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &ctx->Vi, &ctx->Vi, &R ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &ctx->Vi, &ctx->Vi, &ctx->N ) );
} while( 0 );
/* Blinding value: Vi = Vf^(-e) mod N
* (Vi already contains Vf^-1 at this point) */
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &ctx->Vi, &ctx->Vi, &ctx->E, &ctx->N, &ctx->RN ) );
cleanup:
mbedtls_mpi_free( &R );
return( ret );
}
/*
* Exponent blinding supposed to prevent side-channel attacks using multiple
* traces of measurements to recover the RSA key. The more collisions are there,
* the more bits of the key can be recovered. See [3].
*
* Collecting n collisions with m bit long blinding value requires 2^(m-m/n)
* observations on avarage.
*
* For example with 28 byte blinding to achieve 2 collisions the adversary has
* to make 2^112 observations on avarage.
*
* (With the currently (as of 2017 April) known best algorithms breaking 2048
* bit RSA requires approximately as much time as trying out 2^112 random keys.
* Thus in this sense with 28 byte blinding the security is not reduced by
* side-channel attacks like the one in [3])
*
* This countermeasure does not help if the key recovery is possible with a
* single trace.
*/
#define RSA_EXPONENT_BLINDING 28
/*
* Do an RSA private key operation
*/
int mbedtls_rsa_private( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
const unsigned char *input,
unsigned char *output )
{
int ret;
size_t olen;
/* Temporary holding the result */
mbedtls_mpi T;
/* Temporaries holding P-1, Q-1 and the
* exponent blinding factor, respectively. */
mbedtls_mpi P1, Q1, R;
#if !defined(MBEDTLS_RSA_NO_CRT)
/* Temporaries holding the results mod p resp. mod q. */
mbedtls_mpi TP, TQ;
/* Temporaries holding the blinded exponents for
* the mod p resp. mod q computation (if used). */
mbedtls_mpi DP_blind, DQ_blind;
/* Pointers to actual exponents to be used - either the unblinded
* or the blinded ones, depending on the presence of a PRNG. */
mbedtls_mpi *DP = &ctx->DP;
mbedtls_mpi *DQ = &ctx->DQ;
#else
/* Temporary holding the blinded exponent (if used). */
mbedtls_mpi D_blind;
/* Pointer to actual exponent to be used - either the unblinded
* or the blinded one, depending on the presence of a PRNG. */
mbedtls_mpi *D = &ctx->D;
#endif /* MBEDTLS_RSA_NO_CRT */
/* Temporaries holding the initial input and the double
* checked result; should be the same in the end. */
mbedtls_mpi I, C;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( output != NULL );
if( rsa_check_context( ctx, 1 /* private key checks */,
f_rng != NULL /* blinding y/n */ ) != 0 )
{
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
#if defined(MBEDTLS_THREADING_C)
if( ( ret = mbedtls_mutex_lock( &ctx->mutex ) ) != 0 )
return( ret );
#endif
/* MPI Initialization */
mbedtls_mpi_init( &T );
mbedtls_mpi_init( &P1 );
mbedtls_mpi_init( &Q1 );
mbedtls_mpi_init( &R );
if( f_rng != NULL )
{
#if defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_init( &D_blind );
#else
mbedtls_mpi_init( &DP_blind );
mbedtls_mpi_init( &DQ_blind );
#endif
}
#if !defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_init( &TP ); mbedtls_mpi_init( &TQ );
#endif
mbedtls_mpi_init( &I );
mbedtls_mpi_init( &C );
/* End of MPI initialization */
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( &T, input, ctx->len ) );
if( mbedtls_mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
{
ret = MBEDTLS_ERR_MPI_BAD_INPUT_DATA;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &I, &T ) );
if( f_rng != NULL )
{
/*
* Blinding
* T = T * Vi mod N
*/
MBEDTLS_MPI_CHK( rsa_prepare_blinding( ctx, f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &T, &T, &ctx->Vi ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &T, &T, &ctx->N ) );
/*
* Exponent blinding
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &P1, &ctx->P, 1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_int( &Q1, &ctx->Q, 1 ) );
#if defined(MBEDTLS_RSA_NO_CRT)
/*
* D_blind = ( P - 1 ) * ( Q - 1 ) * R + D
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &R, RSA_EXPONENT_BLINDING,
f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &D_blind, &P1, &Q1 ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &D_blind, &D_blind, &R ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &D_blind, &D_blind, &ctx->D ) );
D = &D_blind;
#else
/*
* DP_blind = ( P - 1 ) * R + DP
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &R, RSA_EXPONENT_BLINDING,
f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &DP_blind, &P1, &R ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &DP_blind, &DP_blind,
&ctx->DP ) );
DP = &DP_blind;
/*
* DQ_blind = ( Q - 1 ) * R + DQ
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_fill_random( &R, RSA_EXPONENT_BLINDING,
f_rng, p_rng ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &DQ_blind, &Q1, &R ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &DQ_blind, &DQ_blind,
&ctx->DQ ) );
DQ = &DQ_blind;
#endif /* MBEDTLS_RSA_NO_CRT */
}
#if defined(MBEDTLS_RSA_NO_CRT)
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &T, &T, D, &ctx->N, &ctx->RN ) );
#else
/*
* Faster decryption using the CRT
*
* TP = input ^ dP mod P
* TQ = input ^ dQ mod Q
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &TP, &T, DP, &ctx->P, &ctx->RP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &TQ, &T, DQ, &ctx->Q, &ctx->RQ ) );
/*
* T = (TP - TQ) * (Q^-1 mod P) mod P
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( &T, &TP, &TQ ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &TP, &T, &ctx->QP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &T, &TP, &ctx->P ) );
/*
* T = TQ + T * Q
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &TP, &T, &ctx->Q ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &T, &TQ, &TP ) );
#endif /* MBEDTLS_RSA_NO_CRT */
if( f_rng != NULL )
{
/*
* Unblind
* T = T * Vf mod N
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &T, &T, &ctx->Vf ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &T, &T, &ctx->N ) );
}
/* Verify the result to prevent glitching attacks. */
MBEDTLS_MPI_CHK( mbedtls_mpi_exp_mod( &C, &T, &ctx->E,
&ctx->N, &ctx->RN ) );
if( mbedtls_mpi_cmp_mpi( &C, &I ) != 0 )
{
ret = MBEDTLS_ERR_RSA_VERIFY_FAILED;
goto cleanup;
}
olen = ctx->len;
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &T, output, olen ) );
cleanup:
#if defined(MBEDTLS_THREADING_C)
if( mbedtls_mutex_unlock( &ctx->mutex ) != 0 )
return( MBEDTLS_ERR_THREADING_MUTEX_ERROR );
#endif
mbedtls_mpi_free( &P1 );
mbedtls_mpi_free( &Q1 );
mbedtls_mpi_free( &R );
if( f_rng != NULL )
{
#if defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_free( &D_blind );
#else
mbedtls_mpi_free( &DP_blind );
mbedtls_mpi_free( &DQ_blind );
#endif
}
mbedtls_mpi_free( &T );
#if !defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_free( &TP ); mbedtls_mpi_free( &TQ );
#endif
mbedtls_mpi_free( &C );
mbedtls_mpi_free( &I );
if( ret != 0 )
return( MBEDTLS_ERR_RSA_PRIVATE_FAILED + ret );
return( 0 );
}
#if defined(MBEDTLS_PKCS1_V21)
/**
* Generate and apply the MGF1 operation (from PKCS#1 v2.1) to a buffer.
*
* \param dst buffer to mask
* \param dlen length of destination buffer
* \param src source of the mask generation
* \param slen length of the source buffer
* \param md_ctx message digest context to use
*/
static int mgf_mask( unsigned char *dst, size_t dlen, unsigned char *src,
size_t slen, mbedtls_md_context_t *md_ctx )
{
unsigned char mask[MBEDTLS_MD_MAX_SIZE];
unsigned char counter[4];
unsigned char *p;
unsigned int hlen;
size_t i, use_len;
int ret = 0;
memset( mask, 0, MBEDTLS_MD_MAX_SIZE );
memset( counter, 0, 4 );
hlen = mbedtls_md_get_size( md_ctx->md_info );
/* Generate and apply dbMask */
p = dst;
while( dlen > 0 )
{
use_len = hlen;
if( dlen < hlen )
use_len = dlen;
if( ( ret = mbedtls_md_starts( md_ctx ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_update( md_ctx, src, slen ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_update( md_ctx, counter, 4 ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_finish( md_ctx, mask ) ) != 0 )
goto exit;
for( i = 0; i < use_len; ++i )
*p++ ^= mask[i];
counter[3]++;
dlen -= use_len;
}
exit:
mbedtls_platform_zeroize( mask, sizeof( mask ) );
return( ret );
}
#endif /* MBEDTLS_PKCS1_V21 */
#if defined(MBEDTLS_PKCS1_V21)
/*
* Implementation of the PKCS#1 v2.1 RSAES-OAEP-ENCRYPT function
*/
int mbedtls_rsa_rsaes_oaep_encrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
const unsigned char *label, size_t label_len,
size_t ilen,
const unsigned char *input,
unsigned char *output )
{
size_t olen;
int ret;
unsigned char *p = output;
unsigned int hlen;
const mbedtls_md_info_t *md_info;
mbedtls_md_context_t md_ctx;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( label_len == 0 || label != NULL );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V21 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
if( f_rng == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
md_info = mbedtls_md_info_from_type( (mbedtls_md_type_t) ctx->hash_id );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
olen = ctx->len;
hlen = mbedtls_md_get_size( md_info );
/* first comparison checks for overflow */
if( ilen + 2 * hlen + 2 < ilen || olen < ilen + 2 * hlen + 2 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
memset( output, 0, olen );
*p++ = 0;
/* Generate a random octet string seed */
if( ( ret = f_rng( p_rng, p, hlen ) ) != 0 )
return( MBEDTLS_ERR_RSA_RNG_FAILED + ret );
p += hlen;
/* Construct DB */
if( ( ret = mbedtls_md( md_info, label, label_len, p ) ) != 0 )
return( ret );
p += hlen;
p += olen - 2 * hlen - 2 - ilen;
*p++ = 1;
memcpy( p, input, ilen );
mbedtls_md_init( &md_ctx );
if( ( ret = mbedtls_md_setup( &md_ctx, md_info, 0 ) ) != 0 )
goto exit;
/* maskedDB: Apply dbMask to DB */
if( ( ret = mgf_mask( output + hlen + 1, olen - hlen - 1, output + 1, hlen,
&md_ctx ) ) != 0 )
goto exit;
/* maskedSeed: Apply seedMask to seed */
if( ( ret = mgf_mask( output + 1, hlen, output + hlen + 1, olen - hlen - 1,
&md_ctx ) ) != 0 )
goto exit;
exit:
mbedtls_md_free( &md_ctx );
if( ret != 0 )
return( ret );
return( ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, output, output )
: mbedtls_rsa_private( ctx, f_rng, p_rng, output, output ) );
}
#endif /* MBEDTLS_PKCS1_V21 */
#if defined(MBEDTLS_PKCS1_V15)
/*
* Implementation of the PKCS#1 v2.1 RSAES-PKCS1-V1_5-ENCRYPT function
*/
int mbedtls_rsa_rsaes_pkcs1_v15_encrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode, size_t ilen,
const unsigned char *input,
unsigned char *output )
{
size_t nb_pad, olen;
int ret;
unsigned char *p = output;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output != NULL );
RSA_VALIDATE_RET( input != NULL );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V15 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
olen = ctx->len;
/* first comparison checks for overflow */
if( ilen + 11 < ilen || olen < ilen + 11 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
nb_pad = olen - 3 - ilen;
*p++ = 0;
if( mode == MBEDTLS_RSA_PUBLIC )
{
if( f_rng == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
*p++ = MBEDTLS_RSA_CRYPT;
while( nb_pad-- > 0 )
{
int rng_dl = 100;
do {
ret = f_rng( p_rng, p, 1 );
} while( *p == 0 && --rng_dl && ret == 0 );
/* Check if RNG failed to generate data */
if( rng_dl == 0 || ret != 0 )
return( MBEDTLS_ERR_RSA_RNG_FAILED + ret );
p++;
}
}
else
{
*p++ = MBEDTLS_RSA_SIGN;
while( nb_pad-- > 0 )
*p++ = 0xFF;
}
*p++ = 0;
memcpy( p, input, ilen );
return( ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, output, output )
: mbedtls_rsa_private( ctx, f_rng, p_rng, output, output ) );
}
#endif /* MBEDTLS_PKCS1_V15 */
/*
* Add the message padding, then do an RSA operation
*/
int mbedtls_rsa_pkcs1_encrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode, size_t ilen,
const unsigned char *input,
unsigned char *output )
{
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output != NULL );
RSA_VALIDATE_RET( input != NULL );
switch( ctx->padding )
{
#if defined(MBEDTLS_PKCS1_V15)
case MBEDTLS_RSA_PKCS_V15:
return mbedtls_rsa_rsaes_pkcs1_v15_encrypt( ctx, f_rng, p_rng, mode, ilen,
input, output );
#endif
#if defined(MBEDTLS_PKCS1_V21)
case MBEDTLS_RSA_PKCS_V21:
return mbedtls_rsa_rsaes_oaep_encrypt( ctx, f_rng, p_rng, mode, NULL, 0,
ilen, input, output );
#endif
default:
return( MBEDTLS_ERR_RSA_INVALID_PADDING );
}
}
#if defined(MBEDTLS_PKCS1_V21)
/*
* Implementation of the PKCS#1 v2.1 RSAES-OAEP-DECRYPT function
*/
int mbedtls_rsa_rsaes_oaep_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
const unsigned char *label, size_t label_len,
size_t *olen,
const unsigned char *input,
unsigned char *output,
size_t output_max_len )
{
int ret;
size_t ilen, i, pad_len;
unsigned char *p, bad, pad_done;
unsigned char buf[MBEDTLS_MPI_MAX_SIZE];
unsigned char lhash[MBEDTLS_MD_MAX_SIZE];
unsigned int hlen;
const mbedtls_md_info_t *md_info;
mbedtls_md_context_t md_ctx;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output_max_len == 0 || output != NULL );
RSA_VALIDATE_RET( label_len == 0 || label != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( olen != NULL );
/*
* Parameters sanity checks
*/
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V21 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
ilen = ctx->len;
if( ilen < 16 || ilen > sizeof( buf ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
md_info = mbedtls_md_info_from_type( (mbedtls_md_type_t) ctx->hash_id );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hlen = mbedtls_md_get_size( md_info );
// checking for integer underflow
if( 2 * hlen + 2 > ilen )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* RSA operation
*/
ret = ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, input, buf )
: mbedtls_rsa_private( ctx, f_rng, p_rng, input, buf );
if( ret != 0 )
goto cleanup;
/*
* Unmask data and generate lHash
*/
mbedtls_md_init( &md_ctx );
if( ( ret = mbedtls_md_setup( &md_ctx, md_info, 0 ) ) != 0 )
{
mbedtls_md_free( &md_ctx );
goto cleanup;
}
/* seed: Apply seedMask to maskedSeed */
if( ( ret = mgf_mask( buf + 1, hlen, buf + hlen + 1, ilen - hlen - 1,
&md_ctx ) ) != 0 ||
/* DB: Apply dbMask to maskedDB */
( ret = mgf_mask( buf + hlen + 1, ilen - hlen - 1, buf + 1, hlen,
&md_ctx ) ) != 0 )
{
mbedtls_md_free( &md_ctx );
goto cleanup;
}
mbedtls_md_free( &md_ctx );
/* Generate lHash */
if( ( ret = mbedtls_md( md_info, label, label_len, lhash ) ) != 0 )
goto cleanup;
/*
* Check contents, in "constant-time"
*/
p = buf;
bad = 0;
bad |= *p++; /* First byte must be 0 */
p += hlen; /* Skip seed */
/* Check lHash */
for( i = 0; i < hlen; i++ )
bad |= lhash[i] ^ *p++;
/* Get zero-padding len, but always read till end of buffer
* (minus one, for the 01 byte) */
pad_len = 0;
pad_done = 0;
for( i = 0; i < ilen - 2 * hlen - 2; i++ )
{
pad_done |= p[i];
pad_len += ((pad_done | (unsigned char)-pad_done) >> 7) ^ 1;
}
p += pad_len;
bad |= *p++ ^ 0x01;
/*
* The only information "leaked" is whether the padding was correct or not
* (eg, no data is copied if it was not correct). This meets the
* recommendations in PKCS#1 v2.2: an opponent cannot distinguish between
* the different error conditions.
*/
if( bad != 0 )
{
ret = MBEDTLS_ERR_RSA_INVALID_PADDING;
goto cleanup;
}
if( ilen - ( p - buf ) > output_max_len )
{
ret = MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE;
goto cleanup;
}
*olen = ilen - (p - buf);
memcpy( output, p, *olen );
ret = 0;
cleanup:
mbedtls_platform_zeroize( buf, sizeof( buf ) );
mbedtls_platform_zeroize( lhash, sizeof( lhash ) );
return( ret );
}
#endif /* MBEDTLS_PKCS1_V21 */
#if defined(MBEDTLS_PKCS1_V15)
/** Turn zero-or-nonzero into zero-or-all-bits-one, without branches.
*
* \param value The value to analyze.
* \return Zero if \p value is zero, otherwise all-bits-one.
*/
static unsigned all_or_nothing_int( unsigned value )
{
/* MSVC has a warning about unary minus on unsigned, but this is
* well-defined and precisely what we want to do here */
#if defined(_MSC_VER)
#pragma warning( push )
#pragma warning( disable : 4146 )
#endif
return( - ( ( value | - value ) >> ( sizeof( value ) * 8 - 1 ) ) );
#if defined(_MSC_VER)
#pragma warning( pop )
#endif
}
/** Check whether a size is out of bounds, without branches.
*
* This is equivalent to `size > max`, but is likely to be compiled to
* to code using bitwise operation rather than a branch.
*
* \param size Size to check.
* \param max Maximum desired value for \p size.
* \return \c 0 if `size <= max`.
* \return \c 1 if `size > max`.
*/
static unsigned size_greater_than( size_t size, size_t max )
{
/* Return the sign bit (1 for negative) of (max - size). */
return( ( max - size ) >> ( sizeof( size_t ) * 8 - 1 ) );
}
/** Choose between two integer values, without branches.
*
* This is equivalent to `cond ? if1 : if0`, but is likely to be compiled
* to code using bitwise operation rather than a branch.
*
* \param cond Condition to test.
* \param if1 Value to use if \p cond is nonzero.
* \param if0 Value to use if \p cond is zero.
* \return \c if1 if \p cond is nonzero, otherwise \c if0.
*/
static unsigned if_int( unsigned cond, unsigned if1, unsigned if0 )
{
unsigned mask = all_or_nothing_int( cond );
return( ( mask & if1 ) | (~mask & if0 ) );
}
/** Shift some data towards the left inside a buffer without leaking
* the length of the data through side channels.
*
* `mem_move_to_left(start, total, offset)` is functionally equivalent to
* ```
* memmove(start, start + offset, total - offset);
* memset(start + offset, 0, total - offset);
* ```
* but it strives to use a memory access pattern (and thus total timing)
* that does not depend on \p offset. This timing independence comes at
* the expense of performance.
*
* \param start Pointer to the start of the buffer.
* \param total Total size of the buffer.
* \param offset Offset from which to copy \p total - \p offset bytes.
*/
static void mem_move_to_left( void *start,
size_t total,
size_t offset )
{
volatile unsigned char *buf = start;
size_t i, n;
if( total == 0 )
return;
for( i = 0; i < total; i++ )
{
unsigned no_op = size_greater_than( total - offset, i );
/* The first `total - offset` passes are a no-op. The last
* `offset` passes shift the data one byte to the left and
* zero out the last byte. */
for( n = 0; n < total - 1; n++ )
{
unsigned char current = buf[n];
unsigned char next = buf[n+1];
buf[n] = if_int( no_op, current, next );
}
buf[total-1] = if_int( no_op, buf[total-1], 0 );
}
}
/*
* Implementation of the PKCS#1 v2.1 RSAES-PKCS1-V1_5-DECRYPT function
*/
int mbedtls_rsa_rsaes_pkcs1_v15_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode, size_t *olen,
const unsigned char *input,
unsigned char *output,
size_t output_max_len )
{
int ret;
size_t ilen, i, plaintext_max_size;
unsigned char buf[MBEDTLS_MPI_MAX_SIZE];
/* The following variables take sensitive values: their value must
* not leak into the observable behavior of the function other than
* the designated outputs (output, olen, return value). Otherwise
* this would open the execution of the function to
* side-channel-based variants of the Bleichenbacher padding oracle
* attack. Potential side channels include overall timing, memory
* access patterns (especially visible to an adversary who has access
* to a shared memory cache), and branches (especially visible to
* an adversary who has access to a shared code cache or to a shared
* branch predictor). */
size_t pad_count = 0;
unsigned bad = 0;
unsigned char pad_done = 0;
size_t plaintext_size = 0;
unsigned output_too_large;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output_max_len == 0 || output != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( olen != NULL );
ilen = ctx->len;
plaintext_max_size = ( output_max_len > ilen - 11 ?
ilen - 11 :
output_max_len );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V15 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
if( ilen < 16 || ilen > sizeof( buf ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
ret = ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, input, buf )
: mbedtls_rsa_private( ctx, f_rng, p_rng, input, buf );
if( ret != 0 )
goto cleanup;
/* Check and get padding length in constant time and constant
* memory trace. The first byte must be 0. */
bad |= buf[0];
if( mode == MBEDTLS_RSA_PRIVATE )
{
/* Decode EME-PKCS1-v1_5 padding: 0x00 || 0x02 || PS || 0x00
* where PS must be at least 8 nonzero bytes. */
bad |= buf[1] ^ MBEDTLS_RSA_CRYPT;
/* Read the whole buffer. Set pad_done to nonzero if we find
* the 0x00 byte and remember the padding length in pad_count. */
for( i = 2; i < ilen; i++ )
{
pad_done |= ((buf[i] | (unsigned char)-buf[i]) >> 7) ^ 1;
pad_count += ((pad_done | (unsigned char)-pad_done) >> 7) ^ 1;
}
}
else
{
/* Decode EMSA-PKCS1-v1_5 padding: 0x00 || 0x01 || PS || 0x00
* where PS must be at least 8 bytes with the value 0xFF. */
bad |= buf[1] ^ MBEDTLS_RSA_SIGN;
/* Read the whole buffer. Set pad_done to nonzero if we find
* the 0x00 byte and remember the padding length in pad_count.
* If there's a non-0xff byte in the padding, the padding is bad. */
for( i = 2; i < ilen; i++ )
{
pad_done |= if_int( buf[i], 0, 1 );
pad_count += if_int( pad_done, 0, 1 );
bad |= if_int( pad_done, 0, buf[i] ^ 0xFF );
}
}
/* If pad_done is still zero, there's no data, only unfinished padding. */
bad |= if_int( pad_done, 0, 1 );
/* There must be at least 8 bytes of padding. */
bad |= size_greater_than( 8, pad_count );
/* If the padding is valid, set plaintext_size to the number of
* remaining bytes after stripping the padding. If the padding
* is invalid, avoid leaking this fact through the size of the
* output: use the maximum message size that fits in the output
* buffer. Do it without branches to avoid leaking the padding
* validity through timing. RSA keys are small enough that all the
* size_t values involved fit in unsigned int. */
plaintext_size = if_int( bad,
(unsigned) plaintext_max_size,
(unsigned) ( ilen - pad_count - 3 ) );
/* Set output_too_large to 0 if the plaintext fits in the output
* buffer and to 1 otherwise. */
output_too_large = size_greater_than( plaintext_size,
plaintext_max_size );
/* Set ret without branches to avoid timing attacks. Return:
* - INVALID_PADDING if the padding is bad (bad != 0).
* - OUTPUT_TOO_LARGE if the padding is good but the decrypted
* plaintext does not fit in the output buffer.
* - 0 if the padding is correct. */
ret = - (int) if_int( bad, - MBEDTLS_ERR_RSA_INVALID_PADDING,
if_int( output_too_large, - MBEDTLS_ERR_RSA_OUTPUT_TOO_LARGE,
0 ) );
/* If the padding is bad or the plaintext is too large, zero the
* data that we're about to copy to the output buffer.
* We need to copy the same amount of data
* from the same buffer whether the padding is good or not to
* avoid leaking the padding validity through overall timing or
* through memory or cache access patterns. */
bad = all_or_nothing_int( bad | output_too_large );
for( i = 11; i < ilen; i++ )
buf[i] &= ~bad;
/* If the plaintext is too large, truncate it to the buffer size.
* Copy anyway to avoid revealing the length through timing, because
* revealing the length is as bad as revealing the padding validity
* for a Bleichenbacher attack. */
plaintext_size = if_int( output_too_large,
(unsigned) plaintext_max_size,
(unsigned) plaintext_size );
/* Move the plaintext to the leftmost position where it can start in
* the working buffer, i.e. make it start plaintext_max_size from
* the end of the buffer. Do this with a memory access trace that
* does not depend on the plaintext size. After this move, the
* starting location of the plaintext is no longer sensitive
* information. */
mem_move_to_left( buf + ilen - plaintext_max_size,
plaintext_max_size,
plaintext_max_size - plaintext_size );
/* Finally copy the decrypted plaintext plus trailing zeros
* into the output buffer. */
memcpy( output, buf + ilen - plaintext_max_size, plaintext_max_size );
/* Report the amount of data we copied to the output buffer. In case
* of errors (bad padding or output too large), the value of *olen
* when this function returns is not specified. Making it equivalent
* to the good case limits the risks of leaking the padding validity. */
*olen = plaintext_size;
cleanup:
mbedtls_platform_zeroize( buf, sizeof( buf ) );
return( ret );
}
#endif /* MBEDTLS_PKCS1_V15 */
/*
* Do an RSA operation, then remove the message padding
*/
int mbedtls_rsa_pkcs1_decrypt( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode, size_t *olen,
const unsigned char *input,
unsigned char *output,
size_t output_max_len)
{
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( output_max_len == 0 || output != NULL );
RSA_VALIDATE_RET( input != NULL );
RSA_VALIDATE_RET( olen != NULL );
switch( ctx->padding )
{
#if defined(MBEDTLS_PKCS1_V15)
case MBEDTLS_RSA_PKCS_V15:
return mbedtls_rsa_rsaes_pkcs1_v15_decrypt( ctx, f_rng, p_rng, mode, olen,
input, output, output_max_len );
#endif
#if defined(MBEDTLS_PKCS1_V21)
case MBEDTLS_RSA_PKCS_V21:
return mbedtls_rsa_rsaes_oaep_decrypt( ctx, f_rng, p_rng, mode, NULL, 0,
olen, input, output,
output_max_len );
#endif
default:
return( MBEDTLS_ERR_RSA_INVALID_PADDING );
}
}
#if defined(MBEDTLS_PKCS1_V21)
/*
* Implementation of the PKCS#1 v2.1 RSASSA-PSS-SIGN function
*/
int mbedtls_rsa_rsassa_pss_sign( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
unsigned char *sig )
{
size_t olen;
unsigned char *p = sig;
unsigned char salt[MBEDTLS_MD_MAX_SIZE];
size_t slen, min_slen, hlen, offset = 0;
int ret;
size_t msb;
const mbedtls_md_info_t *md_info;
mbedtls_md_context_t md_ctx;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
RSA_VALIDATE_RET( sig != NULL );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V21 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
if( f_rng == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
olen = ctx->len;
if( md_alg != MBEDTLS_MD_NONE )
{
/* Gather length of hash to sign */
md_info = mbedtls_md_info_from_type( md_alg );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hashlen = mbedtls_md_get_size( md_info );
}
md_info = mbedtls_md_info_from_type( (mbedtls_md_type_t) ctx->hash_id );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hlen = mbedtls_md_get_size( md_info );
/* Calculate the largest possible salt length. Normally this is the hash
* length, which is the maximum length the salt can have. If there is not
* enough room, use the maximum salt length that fits. The constraint is
* that the hash length plus the salt length plus 2 bytes must be at most
* the key length. This complies with FIPS 186-4 §5.5 (e) and RFC 8017
* (PKCS#1 v2.2) §9.1.1 step 3. */
min_slen = hlen - 2;
if( olen < hlen + min_slen + 2 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
else if( olen >= hlen + hlen + 2 )
slen = hlen;
else
slen = olen - hlen - 2;
memset( sig, 0, olen );
/* Generate salt of length slen */
if( ( ret = f_rng( p_rng, salt, slen ) ) != 0 )
return( MBEDTLS_ERR_RSA_RNG_FAILED + ret );
/* Note: EMSA-PSS encoding is over the length of N - 1 bits */
msb = mbedtls_mpi_bitlen( &ctx->N ) - 1;
p += olen - hlen - slen - 2;
*p++ = 0x01;
memcpy( p, salt, slen );
p += slen;
mbedtls_md_init( &md_ctx );
if( ( ret = mbedtls_md_setup( &md_ctx, md_info, 0 ) ) != 0 )
goto exit;
/* Generate H = Hash( M' ) */
if( ( ret = mbedtls_md_starts( &md_ctx ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_update( &md_ctx, p, 8 ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_update( &md_ctx, hash, hashlen ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_update( &md_ctx, salt, slen ) ) != 0 )
goto exit;
if( ( ret = mbedtls_md_finish( &md_ctx, p ) ) != 0 )
goto exit;
/* Compensate for boundary condition when applying mask */
if( msb % 8 == 0 )
offset = 1;
/* maskedDB: Apply dbMask to DB */
if( ( ret = mgf_mask( sig + offset, olen - hlen - 1 - offset, p, hlen,
&md_ctx ) ) != 0 )
goto exit;
msb = mbedtls_mpi_bitlen( &ctx->N ) - 1;
sig[0] &= 0xFF >> ( olen * 8 - msb );
p += hlen;
*p++ = 0xBC;
mbedtls_platform_zeroize( salt, sizeof( salt ) );
exit:
mbedtls_md_free( &md_ctx );
if( ret != 0 )
return( ret );
return( ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, sig, sig )
: mbedtls_rsa_private( ctx, f_rng, p_rng, sig, sig ) );
}
#endif /* MBEDTLS_PKCS1_V21 */
#if defined(MBEDTLS_PKCS1_V15)
/*
* Implementation of the PKCS#1 v2.1 RSASSA-PKCS1-V1_5-SIGN function
*/
/* Construct a PKCS v1.5 encoding of a hashed message
*
* This is used both for signature generation and verification.
*
* Parameters:
* - md_alg: Identifies the hash algorithm used to generate the given hash;
* MBEDTLS_MD_NONE if raw data is signed.
* - hashlen: Length of hash in case hashlen is MBEDTLS_MD_NONE.
* - hash: Buffer containing the hashed message or the raw data.
* - dst_len: Length of the encoded message.
* - dst: Buffer to hold the encoded message.
*
* Assumptions:
* - hash has size hashlen if md_alg == MBEDTLS_MD_NONE.
* - hash has size corresponding to md_alg if md_alg != MBEDTLS_MD_NONE.
* - dst points to a buffer of size at least dst_len.
*
*/
static int rsa_rsassa_pkcs1_v15_encode( mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
size_t dst_len,
unsigned char *dst )
{
size_t oid_size = 0;
size_t nb_pad = dst_len;
unsigned char *p = dst;
const char *oid = NULL;
/* Are we signing hashed or raw data? */
if( md_alg != MBEDTLS_MD_NONE )
{
const mbedtls_md_info_t *md_info = mbedtls_md_info_from_type( md_alg );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
if( mbedtls_oid_get_oid_by_md( md_alg, &oid, &oid_size ) != 0 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hashlen = mbedtls_md_get_size( md_info );
/* Double-check that 8 + hashlen + oid_size can be used as a
* 1-byte ASN.1 length encoding and that there's no overflow. */
if( 8 + hashlen + oid_size >= 0x80 ||
10 + hashlen < hashlen ||
10 + hashlen + oid_size < 10 + hashlen )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* Static bounds check:
* - Need 10 bytes for five tag-length pairs.
* (Insist on 1-byte length encodings to protect against variants of
* Bleichenbacher's forgery attack against lax PKCS#1v1.5 verification)
* - Need hashlen bytes for hash
* - Need oid_size bytes for hash alg OID.
*/
if( nb_pad < 10 + hashlen + oid_size )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
nb_pad -= 10 + hashlen + oid_size;
}
else
{
if( nb_pad < hashlen )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
nb_pad -= hashlen;
}
/* Need space for signature header and padding delimiter (3 bytes),
* and 8 bytes for the minimal padding */
if( nb_pad < 3 + 8 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
nb_pad -= 3;
/* Now nb_pad is the amount of memory to be filled
* with padding, and at least 8 bytes long. */
/* Write signature header and padding */
*p++ = 0;
*p++ = MBEDTLS_RSA_SIGN;
memset( p, 0xFF, nb_pad );
p += nb_pad;
*p++ = 0;
/* Are we signing raw data? */
if( md_alg == MBEDTLS_MD_NONE )
{
memcpy( p, hash, hashlen );
return( 0 );
}
/* Signing hashed data, add corresponding ASN.1 structure
*
* DigestInfo ::= SEQUENCE {
* digestAlgorithm DigestAlgorithmIdentifier,
* digest Digest }
* DigestAlgorithmIdentifier ::= AlgorithmIdentifier
* Digest ::= OCTET STRING
*
* Schematic:
* TAG-SEQ + LEN [ TAG-SEQ + LEN [ TAG-OID + LEN [ OID ]
* TAG-NULL + LEN [ NULL ] ]
* TAG-OCTET + LEN [ HASH ] ]
*/
*p++ = MBEDTLS_ASN1_SEQUENCE | MBEDTLS_ASN1_CONSTRUCTED;
*p++ = (unsigned char)( 0x08 + oid_size + hashlen );
*p++ = MBEDTLS_ASN1_SEQUENCE | MBEDTLS_ASN1_CONSTRUCTED;
*p++ = (unsigned char)( 0x04 + oid_size );
*p++ = MBEDTLS_ASN1_OID;
*p++ = (unsigned char) oid_size;
memcpy( p, oid, oid_size );
p += oid_size;
*p++ = MBEDTLS_ASN1_NULL;
*p++ = 0x00;
*p++ = MBEDTLS_ASN1_OCTET_STRING;
*p++ = (unsigned char) hashlen;
memcpy( p, hash, hashlen );
p += hashlen;
/* Just a sanity-check, should be automatic
* after the initial bounds check. */
if( p != dst + dst_len )
{
mbedtls_platform_zeroize( dst, dst_len );
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
}
return( 0 );
}
/*
* Do an RSA operation to sign the message digest
*/
int mbedtls_rsa_rsassa_pkcs1_v15_sign( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
unsigned char *sig )
{
int ret;
unsigned char *sig_try = NULL, *verif = NULL;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
RSA_VALIDATE_RET( sig != NULL );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V15 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* Prepare PKCS1-v1.5 encoding (padding and hash identifier)
*/
if( ( ret = rsa_rsassa_pkcs1_v15_encode( md_alg, hashlen, hash,
ctx->len, sig ) ) != 0 )
return( ret );
/*
* Call respective RSA primitive
*/
if( mode == MBEDTLS_RSA_PUBLIC )
{
/* Skip verification on a public key operation */
return( mbedtls_rsa_public( ctx, sig, sig ) );
}
/* Private key operation
*
* In order to prevent Lenstra's attack, make the signature in a
* temporary buffer and check it before returning it.
*/
sig_try = mbedtls_calloc( 1, ctx->len );
if( sig_try == NULL )
return( MBEDTLS_ERR_MPI_ALLOC_FAILED );
verif = mbedtls_calloc( 1, ctx->len );
if( verif == NULL )
{
mbedtls_free( sig_try );
return( MBEDTLS_ERR_MPI_ALLOC_FAILED );
}
MBEDTLS_MPI_CHK( mbedtls_rsa_private( ctx, f_rng, p_rng, sig, sig_try ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_public( ctx, sig_try, verif ) );
if( mbedtls_safer_memcmp( verif, sig, ctx->len ) != 0 )
{
ret = MBEDTLS_ERR_RSA_PRIVATE_FAILED;
goto cleanup;
}
memcpy( sig, sig_try, ctx->len );
cleanup:
mbedtls_free( sig_try );
mbedtls_free( verif );
return( ret );
}
#endif /* MBEDTLS_PKCS1_V15 */
/*
* Do an RSA operation to sign the message digest
*/
int mbedtls_rsa_pkcs1_sign( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
unsigned char *sig )
{
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
RSA_VALIDATE_RET( sig != NULL );
switch( ctx->padding )
{
#if defined(MBEDTLS_PKCS1_V15)
case MBEDTLS_RSA_PKCS_V15:
return mbedtls_rsa_rsassa_pkcs1_v15_sign( ctx, f_rng, p_rng, mode, md_alg,
hashlen, hash, sig );
#endif
#if defined(MBEDTLS_PKCS1_V21)
case MBEDTLS_RSA_PKCS_V21:
return mbedtls_rsa_rsassa_pss_sign( ctx, f_rng, p_rng, mode, md_alg,
hashlen, hash, sig );
#endif
default:
return( MBEDTLS_ERR_RSA_INVALID_PADDING );
}
}
#if defined(MBEDTLS_PKCS1_V21)
/*
* Implementation of the PKCS#1 v2.1 RSASSA-PSS-VERIFY function
*/
int mbedtls_rsa_rsassa_pss_verify_ext( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
mbedtls_md_type_t mgf1_hash_id,
int expected_salt_len,
const unsigned char *sig )
{
int ret;
size_t siglen;
unsigned char *p;
unsigned char *hash_start;
unsigned char result[MBEDTLS_MD_MAX_SIZE];
unsigned char zeros[8];
unsigned int hlen;
size_t observed_salt_len, msb;
const mbedtls_md_info_t *md_info;
mbedtls_md_context_t md_ctx;
unsigned char buf[MBEDTLS_MPI_MAX_SIZE];
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( sig != NULL );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V21 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
siglen = ctx->len;
if( siglen < 16 || siglen > sizeof( buf ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
ret = ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, sig, buf )
: mbedtls_rsa_private( ctx, f_rng, p_rng, sig, buf );
if( ret != 0 )
return( ret );
p = buf;
if( buf[siglen - 1] != 0xBC )
return( MBEDTLS_ERR_RSA_INVALID_PADDING );
if( md_alg != MBEDTLS_MD_NONE )
{
/* Gather length of hash to sign */
md_info = mbedtls_md_info_from_type( md_alg );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hashlen = mbedtls_md_get_size( md_info );
}
md_info = mbedtls_md_info_from_type( mgf1_hash_id );
if( md_info == NULL )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hlen = mbedtls_md_get_size( md_info );
memset( zeros, 0, 8 );
/*
* Note: EMSA-PSS verification is over the length of N - 1 bits
*/
msb = mbedtls_mpi_bitlen( &ctx->N ) - 1;
if( buf[0] >> ( 8 - siglen * 8 + msb ) )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/* Compensate for boundary condition when applying mask */
if( msb % 8 == 0 )
{
p++;
siglen -= 1;
}
if( siglen < hlen + 2 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
hash_start = p + siglen - hlen - 1;
mbedtls_md_init( &md_ctx );
if( ( ret = mbedtls_md_setup( &md_ctx, md_info, 0 ) ) != 0 )
goto exit;
ret = mgf_mask( p, siglen - hlen - 1, hash_start, hlen, &md_ctx );
if( ret != 0 )
goto exit;
buf[0] &= 0xFF >> ( siglen * 8 - msb );
while( p < hash_start - 1 && *p == 0 )
p++;
if( *p++ != 0x01 )
{
ret = MBEDTLS_ERR_RSA_INVALID_PADDING;
goto exit;
}
observed_salt_len = hash_start - p;
if( expected_salt_len != MBEDTLS_RSA_SALT_LEN_ANY &&
observed_salt_len != (size_t) expected_salt_len )
{
ret = MBEDTLS_ERR_RSA_INVALID_PADDING;
goto exit;
}
/*
* Generate H = Hash( M' )
*/
ret = mbedtls_md_starts( &md_ctx );
if ( ret != 0 )
goto exit;
ret = mbedtls_md_update( &md_ctx, zeros, 8 );
if ( ret != 0 )
goto exit;
ret = mbedtls_md_update( &md_ctx, hash, hashlen );
if ( ret != 0 )
goto exit;
ret = mbedtls_md_update( &md_ctx, p, observed_salt_len );
if ( ret != 0 )
goto exit;
ret = mbedtls_md_finish( &md_ctx, result );
if ( ret != 0 )
goto exit;
if( memcmp( hash_start, result, hlen ) != 0 )
{
ret = MBEDTLS_ERR_RSA_VERIFY_FAILED;
goto exit;
}
exit:
mbedtls_md_free( &md_ctx );
return( ret );
}
/*
* Simplified PKCS#1 v2.1 RSASSA-PSS-VERIFY function
*/
int mbedtls_rsa_rsassa_pss_verify( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
const unsigned char *sig )
{
mbedtls_md_type_t mgf1_hash_id;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( sig != NULL );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
mgf1_hash_id = ( ctx->hash_id != MBEDTLS_MD_NONE )
? (mbedtls_md_type_t) ctx->hash_id
: md_alg;
return( mbedtls_rsa_rsassa_pss_verify_ext( ctx, f_rng, p_rng, mode,
md_alg, hashlen, hash,
mgf1_hash_id, MBEDTLS_RSA_SALT_LEN_ANY,
sig ) );
}
#endif /* MBEDTLS_PKCS1_V21 */
#if defined(MBEDTLS_PKCS1_V15)
/*
* Implementation of the PKCS#1 v2.1 RSASSA-PKCS1-v1_5-VERIFY function
*/
int mbedtls_rsa_rsassa_pkcs1_v15_verify( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
const unsigned char *sig )
{
int ret = 0;
size_t sig_len;
unsigned char *encoded = NULL, *encoded_expected = NULL;
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( sig != NULL );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
sig_len = ctx->len;
if( mode == MBEDTLS_RSA_PRIVATE && ctx->padding != MBEDTLS_RSA_PKCS_V15 )
return( MBEDTLS_ERR_RSA_BAD_INPUT_DATA );
/*
* Prepare expected PKCS1 v1.5 encoding of hash.
*/
if( ( encoded = mbedtls_calloc( 1, sig_len ) ) == NULL ||
( encoded_expected = mbedtls_calloc( 1, sig_len ) ) == NULL )
{
ret = MBEDTLS_ERR_MPI_ALLOC_FAILED;
goto cleanup;
}
if( ( ret = rsa_rsassa_pkcs1_v15_encode( md_alg, hashlen, hash, sig_len,
encoded_expected ) ) != 0 )
goto cleanup;
/*
* Apply RSA primitive to get what should be PKCS1 encoded hash.
*/
ret = ( mode == MBEDTLS_RSA_PUBLIC )
? mbedtls_rsa_public( ctx, sig, encoded )
: mbedtls_rsa_private( ctx, f_rng, p_rng, sig, encoded );
if( ret != 0 )
goto cleanup;
/*
* Compare
*/
if( ( ret = mbedtls_safer_memcmp( encoded, encoded_expected,
sig_len ) ) != 0 )
{
ret = MBEDTLS_ERR_RSA_VERIFY_FAILED;
goto cleanup;
}
cleanup:
if( encoded != NULL )
{
mbedtls_platform_zeroize( encoded, sig_len );
mbedtls_free( encoded );
}
if( encoded_expected != NULL )
{
mbedtls_platform_zeroize( encoded_expected, sig_len );
mbedtls_free( encoded_expected );
}
return( ret );
}
#endif /* MBEDTLS_PKCS1_V15 */
/*
* Do an RSA operation and check the message digest
*/
int mbedtls_rsa_pkcs1_verify( mbedtls_rsa_context *ctx,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
int mode,
mbedtls_md_type_t md_alg,
unsigned int hashlen,
const unsigned char *hash,
const unsigned char *sig )
{
RSA_VALIDATE_RET( ctx != NULL );
RSA_VALIDATE_RET( mode == MBEDTLS_RSA_PRIVATE ||
mode == MBEDTLS_RSA_PUBLIC );
RSA_VALIDATE_RET( sig != NULL );
RSA_VALIDATE_RET( ( md_alg == MBEDTLS_MD_NONE &&
hashlen == 0 ) ||
hash != NULL );
switch( ctx->padding )
{
#if defined(MBEDTLS_PKCS1_V15)
case MBEDTLS_RSA_PKCS_V15:
return mbedtls_rsa_rsassa_pkcs1_v15_verify( ctx, f_rng, p_rng, mode, md_alg,
hashlen, hash, sig );
#endif
#if defined(MBEDTLS_PKCS1_V21)
case MBEDTLS_RSA_PKCS_V21:
return mbedtls_rsa_rsassa_pss_verify( ctx, f_rng, p_rng, mode, md_alg,
hashlen, hash, sig );
#endif
default:
return( MBEDTLS_ERR_RSA_INVALID_PADDING );
}
}
/*
* Copy the components of an RSA key
*/
int mbedtls_rsa_copy( mbedtls_rsa_context *dst, const mbedtls_rsa_context *src )
{
int ret;
RSA_VALIDATE_RET( dst != NULL );
RSA_VALIDATE_RET( src != NULL );
dst->ver = src->ver;
dst->len = src->len;
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->N, &src->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->E, &src->E ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->D, &src->D ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->P, &src->P ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Q, &src->Q ) );
#if !defined(MBEDTLS_RSA_NO_CRT)
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->DP, &src->DP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->DQ, &src->DQ ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->QP, &src->QP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RP, &src->RP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RQ, &src->RQ ) );
#endif
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->RN, &src->RN ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Vi, &src->Vi ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_copy( &dst->Vf, &src->Vf ) );
dst->padding = src->padding;
dst->hash_id = src->hash_id;
cleanup:
if( ret != 0 )
mbedtls_rsa_free( dst );
return( ret );
}
/*
* Free the components of an RSA key
*/
void mbedtls_rsa_free( mbedtls_rsa_context *ctx )
{
if( ctx == NULL )
return;
mbedtls_mpi_free( &ctx->Vi );
mbedtls_mpi_free( &ctx->Vf );
mbedtls_mpi_free( &ctx->RN );
mbedtls_mpi_free( &ctx->D );
mbedtls_mpi_free( &ctx->Q );
mbedtls_mpi_free( &ctx->P );
mbedtls_mpi_free( &ctx->E );
mbedtls_mpi_free( &ctx->N );
#if !defined(MBEDTLS_RSA_NO_CRT)
mbedtls_mpi_free( &ctx->RQ );
mbedtls_mpi_free( &ctx->RP );
mbedtls_mpi_free( &ctx->QP );
mbedtls_mpi_free( &ctx->DQ );
mbedtls_mpi_free( &ctx->DP );
#endif /* MBEDTLS_RSA_NO_CRT */
#if defined(MBEDTLS_THREADING_C)
mbedtls_mutex_free( &ctx->mutex );
#endif
}
#endif /* !MBEDTLS_RSA_ALT */
#if defined(MBEDTLS_SELF_TEST)
#include "mbedtls/sha1.h"
/*
* Example RSA-1024 keypair, for test purposes
*/
#define KEY_LEN 128
#define RSA_N "9292758453063D803DD603D5E777D788" \
"8ED1D5BF35786190FA2F23EBC0848AEA" \
"DDA92CA6C3D80B32C4D109BE0F36D6AE" \
"7130B9CED7ACDF54CFC7555AC14EEBAB" \
"93A89813FBF3C4F8066D2D800F7C38A8" \
"1AE31942917403FF4946B0A83D3D3E05" \
"EE57C6F5F5606FB5D4BC6CD34EE0801A" \
"5E94BB77B07507233A0BC7BAC8F90F79"
#define RSA_E "10001"
#define RSA_D "24BF6185468786FDD303083D25E64EFC" \
"66CA472BC44D253102F8B4A9D3BFA750" \
"91386C0077937FE33FA3252D28855837" \
"AE1B484A8A9A45F7EE8C0C634F99E8CD" \
"DF79C5CE07EE72C7F123142198164234" \
"CABB724CF78B8173B9F880FC86322407" \
"AF1FEDFDDE2BEB674CA15F3E81A1521E" \
"071513A1E85B5DFA031F21ECAE91A34D"
#define RSA_P "C36D0EB7FCD285223CFB5AABA5BDA3D8" \
"2C01CAD19EA484A87EA4377637E75500" \
"FCB2005C5C7DD6EC4AC023CDA285D796" \
"C3D9E75E1EFC42488BB4F1D13AC30A57"
#define RSA_Q "C000DF51A7C77AE8D7C7370C1FF55B69" \
"E211C2B9E5DB1ED0BF61D0D9899620F4" \
"910E4168387E3C30AA1E00C339A79508" \
"8452DD96A9A5EA5D9DCA68DA636032AF"
#define PT_LEN 24
#define RSA_PT "\xAA\xBB\xCC\x03\x02\x01\x00\xFF\xFF\xFF\xFF\xFF" \
"\x11\x22\x33\x0A\x0B\x0C\xCC\xDD\xDD\xDD\xDD\xDD"
#if defined(MBEDTLS_PKCS1_V15)
static int myrand( void *rng_state, unsigned char *output, size_t len )
{
#if !defined(__OpenBSD__) && !defined(__NetBSD__)
size_t i;
if( rng_state != NULL )
rng_state = NULL;
for( i = 0; i < len; ++i )
output[i] = rand();
#else
if( rng_state != NULL )
rng_state = NULL;
arc4random_buf( output, len );
#endif /* !OpenBSD && !NetBSD */
return( 0 );
}
#endif /* MBEDTLS_PKCS1_V15 */
/*
* Checkup routine
*/
int mbedtls_rsa_self_test( int verbose )
{
int ret = 0;
#if defined(MBEDTLS_PKCS1_V15)
size_t len;
mbedtls_rsa_context rsa;
unsigned char rsa_plaintext[PT_LEN];
unsigned char rsa_decrypted[PT_LEN];
unsigned char rsa_ciphertext[KEY_LEN];
#if defined(MBEDTLS_SHA1_C)
unsigned char sha1sum[20];
#endif
mbedtls_mpi K;
mbedtls_mpi_init( &K );
mbedtls_rsa_init( &rsa, MBEDTLS_RSA_PKCS_V15, 0 );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_N ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, &K, NULL, NULL, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_P ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, &K, NULL, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_Q ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, &K, NULL, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_D ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, NULL, &K, NULL ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_read_string( &K, 16, RSA_E ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_import( &rsa, NULL, NULL, NULL, NULL, &K ) );
MBEDTLS_MPI_CHK( mbedtls_rsa_complete( &rsa ) );
if( verbose != 0 )
mbedtls_printf( " RSA key validation: " );
if( mbedtls_rsa_check_pubkey( &rsa ) != 0 ||
mbedtls_rsa_check_privkey( &rsa ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( verbose != 0 )
mbedtls_printf( "passed\n PKCS#1 encryption : " );
memcpy( rsa_plaintext, RSA_PT, PT_LEN );
if( mbedtls_rsa_pkcs1_encrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PUBLIC,
PT_LEN, rsa_plaintext,
rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( verbose != 0 )
mbedtls_printf( "passed\n PKCS#1 decryption : " );
if( mbedtls_rsa_pkcs1_decrypt( &rsa, myrand, NULL, MBEDTLS_RSA_PRIVATE,
&len, rsa_ciphertext, rsa_decrypted,
sizeof(rsa_decrypted) ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( memcmp( rsa_decrypted, rsa_plaintext, len ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( verbose != 0 )
mbedtls_printf( "passed\n" );
#if defined(MBEDTLS_SHA1_C)
if( verbose != 0 )
mbedtls_printf( " PKCS#1 data sign : " );
if( mbedtls_sha1_ret( rsa_plaintext, PT_LEN, sha1sum ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
return( 1 );
}
if( mbedtls_rsa_pkcs1_sign( &rsa, myrand, NULL,
MBEDTLS_RSA_PRIVATE, MBEDTLS_MD_SHA1, 0,
sha1sum, rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( verbose != 0 )
mbedtls_printf( "passed\n PKCS#1 sig. verify: " );
if( mbedtls_rsa_pkcs1_verify( &rsa, NULL, NULL,
MBEDTLS_RSA_PUBLIC, MBEDTLS_MD_SHA1, 0,
sha1sum, rsa_ciphertext ) != 0 )
{
if( verbose != 0 )
mbedtls_printf( "failed\n" );
ret = 1;
goto cleanup;
}
if( verbose != 0 )
mbedtls_printf( "passed\n" );
#endif /* MBEDTLS_SHA1_C */
if( verbose != 0 )
mbedtls_printf( "\n" );
cleanup:
mbedtls_mpi_free( &K );
mbedtls_rsa_free( &rsa );
#else /* MBEDTLS_PKCS1_V15 */
((void) verbose);
#endif /* MBEDTLS_PKCS1_V15 */
return( ret );
}
#endif /* MBEDTLS_SELF_TEST */
#endif /* MBEDTLS_RSA_C */
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