/*
* Elliptic curve DSA
*
* Copyright (C) 2006-2015, ARM Limited, All Rights Reserved
* SPDX-License-Identifier: GPL-2.0
*
* 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.
*
* This file is part of mbed TLS (https://tls.mbed.org)
*/
/*
* References:
*
* SEC1 http://www.secg.org/index.php?action=secg,docs_secg
*/
#if !defined(MBEDTLS_CONFIG_FILE)
#include "mbedtls/config.h"
#else
#include MBEDTLS_CONFIG_FILE
#endif
#if defined(MBEDTLS_ECDSA_C)
#include "mbedtls/ecdsa.h"
#include "mbedtls/asn1write.h"
#include <string.h>
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
#include "mbedtls/hmac_drbg.h"
#endif
#if defined(MBEDTLS_PLATFORM_C)
#include "mbedtls/platform.h"
#else
#include <stdlib.h>
#define mbedtls_calloc calloc
#define mbedtls_free free
#endif
#include "mbedtls/platform_util.h"
/* Parameter validation macros based on platform_util.h */
#define ECDSA_VALIDATE_RET( cond ) \
MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA )
#define ECDSA_VALIDATE( cond ) \
MBEDTLS_INTERNAL_VALIDATE( cond )
#if defined(MBEDTLS_ECP_RESTARTABLE)
/*
* Sub-context for ecdsa_verify()
*/
struct mbedtls_ecdsa_restart_ver
{
mbedtls_mpi u1, u2; /* intermediate values */
enum { /* what to do next? */
ecdsa_ver_init = 0, /* getting started */
ecdsa_ver_muladd, /* muladd step */
} state;
};
/*
* Init verify restart sub-context
*/
static void ecdsa_restart_ver_init( mbedtls_ecdsa_restart_ver_ctx *ctx )
{
mbedtls_mpi_init( &ctx->u1 );
mbedtls_mpi_init( &ctx->u2 );
ctx->state = ecdsa_ver_init;
}
/*
* Free the components of a verify restart sub-context
*/
static void ecdsa_restart_ver_free( mbedtls_ecdsa_restart_ver_ctx *ctx )
{
if( ctx == NULL )
return;
mbedtls_mpi_free( &ctx->u1 );
mbedtls_mpi_free( &ctx->u2 );
ecdsa_restart_ver_init( ctx );
}
/*
* Sub-context for ecdsa_sign()
*/
struct mbedtls_ecdsa_restart_sig
{
int sign_tries;
int key_tries;
mbedtls_mpi k; /* per-signature random */
mbedtls_mpi r; /* r value */
enum { /* what to do next? */
ecdsa_sig_init = 0, /* getting started */
ecdsa_sig_mul, /* doing ecp_mul() */
ecdsa_sig_modn, /* mod N computations */
} state;
};
/*
* Init verify sign sub-context
*/
static void ecdsa_restart_sig_init( mbedtls_ecdsa_restart_sig_ctx *ctx )
{
ctx->sign_tries = 0;
ctx->key_tries = 0;
mbedtls_mpi_init( &ctx->k );
mbedtls_mpi_init( &ctx->r );
ctx->state = ecdsa_sig_init;
}
/*
* Free the components of a sign restart sub-context
*/
static void ecdsa_restart_sig_free( mbedtls_ecdsa_restart_sig_ctx *ctx )
{
if( ctx == NULL )
return;
mbedtls_mpi_free( &ctx->k );
mbedtls_mpi_free( &ctx->r );
}
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
/*
* Sub-context for ecdsa_sign_det()
*/
struct mbedtls_ecdsa_restart_det
{
mbedtls_hmac_drbg_context rng_ctx; /* DRBG state */
enum { /* what to do next? */
ecdsa_det_init = 0, /* getting started */
ecdsa_det_sign, /* make signature */
} state;
};
/*
* Init verify sign_det sub-context
*/
static void ecdsa_restart_det_init( mbedtls_ecdsa_restart_det_ctx *ctx )
{
mbedtls_hmac_drbg_init( &ctx->rng_ctx );
ctx->state = ecdsa_det_init;
}
/*
* Free the components of a sign_det restart sub-context
*/
static void ecdsa_restart_det_free( mbedtls_ecdsa_restart_det_ctx *ctx )
{
if( ctx == NULL )
return;
mbedtls_hmac_drbg_free( &ctx->rng_ctx );
ecdsa_restart_det_init( ctx );
}
#endif /* MBEDTLS_ECDSA_DETERMINISTIC */
#define ECDSA_RS_ECP ( rs_ctx == NULL ? NULL : &rs_ctx->ecp )
/* Utility macro for checking and updating ops budget */
#define ECDSA_BUDGET( ops ) \
MBEDTLS_MPI_CHK( mbedtls_ecp_check_budget( grp, ECDSA_RS_ECP, ops ) );
/* Call this when entering a function that needs its own sub-context */
#define ECDSA_RS_ENTER( SUB ) do { \
/* reset ops count for this call if top-level */ \
if( rs_ctx != NULL && rs_ctx->ecp.depth++ == 0 ) \
rs_ctx->ecp.ops_done = 0; \
\
/* set up our own sub-context if needed */ \
if( mbedtls_ecp_restart_is_enabled() && \
rs_ctx != NULL && rs_ctx->SUB == NULL ) \
{ \
rs_ctx->SUB = mbedtls_calloc( 1, sizeof( *rs_ctx->SUB ) ); \
if( rs_ctx->SUB == NULL ) \
return( MBEDTLS_ERR_ECP_ALLOC_FAILED ); \
\
ecdsa_restart_## SUB ##_init( rs_ctx->SUB ); \
} \
} while( 0 )
/* Call this when leaving a function that needs its own sub-context */
#define ECDSA_RS_LEAVE( SUB ) do { \
/* clear our sub-context when not in progress (done or error) */ \
if( rs_ctx != NULL && rs_ctx->SUB != NULL && \
ret != MBEDTLS_ERR_ECP_IN_PROGRESS ) \
{ \
ecdsa_restart_## SUB ##_free( rs_ctx->SUB ); \
mbedtls_free( rs_ctx->SUB ); \
rs_ctx->SUB = NULL; \
} \
\
if( rs_ctx != NULL ) \
rs_ctx->ecp.depth--; \
} while( 0 )
#else /* MBEDTLS_ECP_RESTARTABLE */
#define ECDSA_RS_ECP NULL
#define ECDSA_BUDGET( ops ) /* no-op; for compatibility */
#define ECDSA_RS_ENTER( SUB ) (void) rs_ctx
#define ECDSA_RS_LEAVE( SUB ) (void) rs_ctx
#endif /* MBEDTLS_ECP_RESTARTABLE */
/*
* Derive a suitable integer for group grp from a buffer of length len
* SEC1 4.1.3 step 5 aka SEC1 4.1.4 step 3
*/
static int derive_mpi( const mbedtls_ecp_group *grp, mbedtls_mpi *x,
const unsigned char *buf, size_t blen )
{
int ret;
size_t n_size = ( grp->nbits + 7 ) / 8;
size_t use_size = blen > n_size ? n_size : blen;
MBEDTLS_MPI_CHK( mbedtls_mpi_read_binary( x, buf, use_size ) );
if( use_size * 8 > grp->nbits )
MBEDTLS_MPI_CHK( mbedtls_mpi_shift_r( x, use_size * 8 - grp->nbits ) );
/* While at it, reduce modulo N */
if( mbedtls_mpi_cmp_mpi( x, &grp->N ) >= 0 )
MBEDTLS_MPI_CHK( mbedtls_mpi_sub_mpi( x, x, &grp->N ) );
cleanup:
return( ret );
}
#if !defined(MBEDTLS_ECDSA_SIGN_ALT)
/*
* Compute ECDSA signature of a hashed message (SEC1 4.1.3)
* Obviously, compared to SEC1 4.1.3, we skip step 4 (hash message)
*/
static int ecdsa_sign_restartable( mbedtls_ecp_group *grp,
mbedtls_mpi *r, mbedtls_mpi *s,
const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng,
int (*f_rng_blind)(void *, unsigned char *, size_t),
void *p_rng_blind,
mbedtls_ecdsa_restart_ctx *rs_ctx )
{
int ret, key_tries, sign_tries;
int *p_sign_tries = &sign_tries, *p_key_tries = &key_tries;
mbedtls_ecp_point R;
mbedtls_mpi k, e, t;
mbedtls_mpi *pk = &k, *pr = r;
/* Fail cleanly on curves such as Curve25519 that can't be used for ECDSA */
if( grp->N.p == NULL )
return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
/* Make sure d is in range 1..n-1 */
if( mbedtls_mpi_cmp_int( d, 1 ) < 0 || mbedtls_mpi_cmp_mpi( d, &grp->N ) >= 0 )
return( MBEDTLS_ERR_ECP_INVALID_KEY );
mbedtls_ecp_point_init( &R );
mbedtls_mpi_init( &k ); mbedtls_mpi_init( &e ); mbedtls_mpi_init( &t );
ECDSA_RS_ENTER( sig );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->sig != NULL )
{
/* redirect to our context */
p_sign_tries = &rs_ctx->sig->sign_tries;
p_key_tries = &rs_ctx->sig->key_tries;
pk = &rs_ctx->sig->k;
pr = &rs_ctx->sig->r;
/* jump to current step */
if( rs_ctx->sig->state == ecdsa_sig_mul )
goto mul;
if( rs_ctx->sig->state == ecdsa_sig_modn )
goto modn;
}
#endif /* MBEDTLS_ECP_RESTARTABLE */
*p_sign_tries = 0;
do
{
if( (*p_sign_tries)++ > 10 )
{
ret = MBEDTLS_ERR_ECP_RANDOM_FAILED;
goto cleanup;
}
/*
* Steps 1-3: generate a suitable ephemeral keypair
* and set r = xR mod n
*/
*p_key_tries = 0;
do
{
if( (*p_key_tries)++ > 10 )
{
ret = MBEDTLS_ERR_ECP_RANDOM_FAILED;
goto cleanup;
}
MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, pk, f_rng, p_rng ) );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->sig != NULL )
rs_ctx->sig->state = ecdsa_sig_mul;
mul:
#endif
MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, &R, pk, &grp->G,
f_rng_blind,
p_rng_blind,
ECDSA_RS_ECP ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pr, &R.X, &grp->N ) );
}
while( mbedtls_mpi_cmp_int( pr, 0 ) == 0 );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->sig != NULL )
rs_ctx->sig->state = ecdsa_sig_modn;
modn:
#endif
/*
* Accounting for everything up to the end of the loop
* (step 6, but checking now avoids saving e and t)
*/
ECDSA_BUDGET( MBEDTLS_ECP_OPS_INV + 4 );
/*
* Step 5: derive MPI from hashed message
*/
MBEDTLS_MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
/*
* Generate a random value to blind inv_mod in next step,
* avoiding a potential timing leak.
*/
MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, &t, f_rng_blind,
p_rng_blind ) );
/*
* Step 6: compute s = (e + r * d) / k = t (e + rd) / (kt) mod n
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( s, pr, d ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_add_mpi( &e, &e, s ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( &e, &e, &t ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pk, pk, &t ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pk, pk, &grp->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( s, pk, &grp->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( s, s, &e ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( s, s, &grp->N ) );
}
while( mbedtls_mpi_cmp_int( s, 0 ) == 0 );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->sig != NULL )
mbedtls_mpi_copy( r, pr );
#endif
cleanup:
mbedtls_ecp_point_free( &R );
mbedtls_mpi_free( &k ); mbedtls_mpi_free( &e ); mbedtls_mpi_free( &t );
ECDSA_RS_LEAVE( sig );
return( ret );
}
/*
* Compute ECDSA signature of a hashed message
*/
int mbedtls_ecdsa_sign( mbedtls_ecp_group *grp, mbedtls_mpi *r, mbedtls_mpi *s,
const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
ECDSA_VALIDATE_RET( grp != NULL );
ECDSA_VALIDATE_RET( r != NULL );
ECDSA_VALIDATE_RET( s != NULL );
ECDSA_VALIDATE_RET( d != NULL );
ECDSA_VALIDATE_RET( f_rng != NULL );
ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
/* Use the same RNG for both blinding and ephemeral key generation */
return( ecdsa_sign_restartable( grp, r, s, d, buf, blen,
f_rng, p_rng, f_rng, p_rng, NULL ) );
}
#endif /* !MBEDTLS_ECDSA_SIGN_ALT */
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
/*
* Deterministic signature wrapper
*/
static int ecdsa_sign_det_restartable( mbedtls_ecp_group *grp,
mbedtls_mpi *r, mbedtls_mpi *s,
const mbedtls_mpi *d, const unsigned char *buf, size_t blen,
mbedtls_md_type_t md_alg,
int (*f_rng_blind)(void *, unsigned char *, size_t),
void *p_rng_blind,
mbedtls_ecdsa_restart_ctx *rs_ctx )
{
int ret;
mbedtls_hmac_drbg_context rng_ctx;
mbedtls_hmac_drbg_context *p_rng = &rng_ctx;
unsigned char data[2 * MBEDTLS_ECP_MAX_BYTES];
size_t grp_len = ( grp->nbits + 7 ) / 8;
const mbedtls_md_info_t *md_info;
mbedtls_mpi h;
if( ( md_info = mbedtls_md_info_from_type( md_alg ) ) == NULL )
return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
mbedtls_mpi_init( &h );
mbedtls_hmac_drbg_init( &rng_ctx );
ECDSA_RS_ENTER( det );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->det != NULL )
{
/* redirect to our context */
p_rng = &rs_ctx->det->rng_ctx;
/* jump to current step */
if( rs_ctx->det->state == ecdsa_det_sign )
goto sign;
}
#endif /* MBEDTLS_ECP_RESTARTABLE */
/* Use private key and message hash (reduced) to initialize HMAC_DRBG */
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( d, data, grp_len ) );
MBEDTLS_MPI_CHK( derive_mpi( grp, &h, buf, blen ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_write_binary( &h, data + grp_len, grp_len ) );
mbedtls_hmac_drbg_seed_buf( p_rng, md_info, data, 2 * grp_len );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->det != NULL )
rs_ctx->det->state = ecdsa_det_sign;
sign:
#endif
#if defined(MBEDTLS_ECDSA_SIGN_ALT)
ret = mbedtls_ecdsa_sign( grp, r, s, d, buf, blen,
mbedtls_hmac_drbg_random, p_rng );
#else
if( f_rng_blind != NULL )
ret = ecdsa_sign_restartable( grp, r, s, d, buf, blen,
mbedtls_hmac_drbg_random, p_rng,
f_rng_blind, p_rng_blind, rs_ctx );
else
{
mbedtls_hmac_drbg_context *p_rng_blind_det;
#if !defined(MBEDTLS_ECP_RESTARTABLE)
/*
* To avoid reusing rng_ctx and risking incorrect behavior we seed a
* second HMAC-DRBG with the same seed. We also apply a label to avoid
* reusing the bits of the ephemeral key for blinding and eliminate the
* risk that they leak this way.
*/
const char* blind_label = "BLINDING CONTEXT";
mbedtls_hmac_drbg_context rng_ctx_blind;
mbedtls_hmac_drbg_init( &rng_ctx_blind );
p_rng_blind_det = &rng_ctx_blind;
mbedtls_hmac_drbg_seed_buf( p_rng_blind_det, md_info,
data, 2 * grp_len );
ret = mbedtls_hmac_drbg_update_ret( p_rng_blind_det,
(const unsigned char*) blind_label,
if( ret != 0 )
{
mbedtls_hmac_drbg_free( &rng_ctx_blind );
goto cleanup;
}
#else
/*
* In the case of restartable computations we would either need to store
* the second RNG in the restart context too or set it up at every
* restart. The first option would penalize the correct application of
* the function and the second would defeat the purpose of the
* restartable feature.
*
* Therefore in this case we reuse the original RNG. This comes with the
* price that the resulting signature might not be a valid deterministic
* ECDSA signature with a very low probability (same magnitude as
* successfully guessing the private key). However even then it is still
* a valid ECDSA signature.
*/
p_rng_blind_det = p_rng;
#endif /* MBEDTLS_ECP_RESTARTABLE */
/*
* Since the output of the RNGs is always the same for the same key and
* message, this limits the efficiency of blinding and leaks information
* through side channels. After mbedtls_ecdsa_sign_det() is removed NULL
* won't be a valid value for f_rng_blind anymore. Therefore it should
* be checked by the caller and this branch and check can be removed.
*/
ret = ecdsa_sign_restartable( grp, r, s, d, buf, blen,
mbedtls_hmac_drbg_random, p_rng,
mbedtls_hmac_drbg_random, p_rng_blind_det,
rs_ctx );
#if !defined(MBEDTLS_ECP_RESTARTABLE)
mbedtls_hmac_drbg_free( &rng_ctx_blind );
#endif
}
#endif /* MBEDTLS_ECDSA_SIGN_ALT */
cleanup:
mbedtls_hmac_drbg_free( &rng_ctx );
mbedtls_mpi_free( &h );
ECDSA_RS_LEAVE( det );
return( ret );
}
/*
* Deterministic signature wrappers
*/
int mbedtls_ecdsa_sign_det( mbedtls_ecp_group *grp, mbedtls_mpi *r,
mbedtls_mpi *s, const mbedtls_mpi *d,
const unsigned char *buf, size_t blen,
mbedtls_md_type_t md_alg )
{
ECDSA_VALIDATE_RET( grp != NULL );
ECDSA_VALIDATE_RET( r != NULL );
ECDSA_VALIDATE_RET( s != NULL );
ECDSA_VALIDATE_RET( d != NULL );
ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
return( ecdsa_sign_det_restartable( grp, r, s, d, buf, blen, md_alg,
NULL, NULL, NULL ) );
}
int mbedtls_ecdsa_sign_det_ext( mbedtls_ecp_group *grp, mbedtls_mpi *r,
mbedtls_mpi *s, const mbedtls_mpi *d,
const unsigned char *buf, size_t blen,
mbedtls_md_type_t md_alg,
int (*f_rng_blind)(void *, unsigned char *,
size_t),
void *p_rng_blind )
{
ECDSA_VALIDATE_RET( grp != NULL );
ECDSA_VALIDATE_RET( r != NULL );
ECDSA_VALIDATE_RET( s != NULL );
ECDSA_VALIDATE_RET( d != NULL );
ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
ECDSA_VALIDATE_RET( f_rng_blind != NULL );
return( ecdsa_sign_det_restartable( grp, r, s, d, buf, blen, md_alg,
f_rng_blind, p_rng_blind, NULL ) );
}
#endif /* MBEDTLS_ECDSA_DETERMINISTIC */
#if !defined(MBEDTLS_ECDSA_VERIFY_ALT)
/*
* Verify ECDSA signature of hashed message (SEC1 4.1.4)
* Obviously, compared to SEC1 4.1.3, we skip step 2 (hash message)
*/
static int ecdsa_verify_restartable( mbedtls_ecp_group *grp,
const unsigned char *buf, size_t blen,
const mbedtls_ecp_point *Q,
const mbedtls_mpi *r, const mbedtls_mpi *s,
mbedtls_ecdsa_restart_ctx *rs_ctx )
{
int ret;
mbedtls_mpi e, s_inv, u1, u2;
mbedtls_ecp_point R;
mbedtls_mpi *pu1 = &u1, *pu2 = &u2;
mbedtls_ecp_point_init( &R );
mbedtls_mpi_init( &e ); mbedtls_mpi_init( &s_inv );
mbedtls_mpi_init( &u1 ); mbedtls_mpi_init( &u2 );
/* Fail cleanly on curves such as Curve25519 that can't be used for ECDSA */
if( grp->N.p == NULL )
return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA );
ECDSA_RS_ENTER( ver );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->ver != NULL )
{
/* redirect to our context */
pu1 = &rs_ctx->ver->u1;
pu2 = &rs_ctx->ver->u2;
/* jump to current step */
if( rs_ctx->ver->state == ecdsa_ver_muladd )
goto muladd;
}
#endif /* MBEDTLS_ECP_RESTARTABLE */
/*
* Step 1: make sure r and s are in range 1..n-1
*/
if( mbedtls_mpi_cmp_int( r, 1 ) < 0 || mbedtls_mpi_cmp_mpi( r, &grp->N ) >= 0 ||
mbedtls_mpi_cmp_int( s, 1 ) < 0 || mbedtls_mpi_cmp_mpi( s, &grp->N ) >= 0 )
{
ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
goto cleanup;
}
/*
* Step 3: derive MPI from hashed message
*/
MBEDTLS_MPI_CHK( derive_mpi( grp, &e, buf, blen ) );
/*
* Step 4: u1 = e / s mod n, u2 = r / s mod n
*/
ECDSA_BUDGET( MBEDTLS_ECP_OPS_CHK + MBEDTLS_ECP_OPS_INV + 2 );
MBEDTLS_MPI_CHK( mbedtls_mpi_inv_mod( &s_inv, s, &grp->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pu1, &e, &s_inv ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pu1, pu1, &grp->N ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mul_mpi( pu2, r, &s_inv ) );
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( pu2, pu2, &grp->N ) );
#if defined(MBEDTLS_ECP_RESTARTABLE)
if( rs_ctx != NULL && rs_ctx->ver != NULL )
rs_ctx->ver->state = ecdsa_ver_muladd;
muladd:
#endif
/*
* Step 5: R = u1 G + u2 Q
*/
MBEDTLS_MPI_CHK( mbedtls_ecp_muladd_restartable( grp,
&R, pu1, &grp->G, pu2, Q, ECDSA_RS_ECP ) );
if( mbedtls_ecp_is_zero( &R ) )
{
ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
goto cleanup;
}
/*
* Step 6: convert xR to an integer (no-op)
* Step 7: reduce xR mod n (gives v)
*/
MBEDTLS_MPI_CHK( mbedtls_mpi_mod_mpi( &R.X, &R.X, &grp->N ) );
/*
* Step 8: check if v (that is, R.X) is equal to r
*/
if( mbedtls_mpi_cmp_mpi( &R.X, r ) != 0 )
{
ret = MBEDTLS_ERR_ECP_VERIFY_FAILED;
goto cleanup;
}
cleanup:
mbedtls_ecp_point_free( &R );
mbedtls_mpi_free( &e ); mbedtls_mpi_free( &s_inv );
mbedtls_mpi_free( &u1 ); mbedtls_mpi_free( &u2 );
ECDSA_RS_LEAVE( ver );
return( ret );
}
/*
* Verify ECDSA signature of hashed message
*/
int mbedtls_ecdsa_verify( mbedtls_ecp_group *grp,
const unsigned char *buf, size_t blen,
const mbedtls_ecp_point *Q,
const mbedtls_mpi *r,
const mbedtls_mpi *s)
{
ECDSA_VALIDATE_RET( grp != NULL );
ECDSA_VALIDATE_RET( Q != NULL );
ECDSA_VALIDATE_RET( r != NULL );
ECDSA_VALIDATE_RET( s != NULL );
ECDSA_VALIDATE_RET( buf != NULL || blen == 0 );
return( ecdsa_verify_restartable( grp, buf, blen, Q, r, s, NULL ) );
}
#endif /* !MBEDTLS_ECDSA_VERIFY_ALT */
/*
* Convert a signature (given by context) to ASN.1
*/
static int ecdsa_signature_to_asn1( const mbedtls_mpi *r, const mbedtls_mpi *s,
unsigned char *sig, size_t *slen )
{
int ret;
unsigned char buf[MBEDTLS_ECDSA_MAX_LEN];
unsigned char *p = buf + sizeof( buf );
size_t len = 0;
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &p, buf, s ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_mpi( &p, buf, r ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_len( &p, buf, len ) );
MBEDTLS_ASN1_CHK_ADD( len, mbedtls_asn1_write_tag( &p, buf,
MBEDTLS_ASN1_CONSTRUCTED | MBEDTLS_ASN1_SEQUENCE ) );
*slen = len;
return( 0 );
}
/*
* Compute and write signature
*/
int mbedtls_ecdsa_write_signature_restartable( mbedtls_ecdsa_context *ctx,
mbedtls_md_type_t md_alg,
const unsigned char *hash, size_t hlen,
unsigned char *sig, size_t *slen,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng,
mbedtls_ecdsa_restart_ctx *rs_ctx )
{
int ret;
mbedtls_mpi r, s;
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( hash != NULL );
ECDSA_VALIDATE_RET( sig != NULL );
ECDSA_VALIDATE_RET( slen != NULL );
mbedtls_mpi_init( &r );
mbedtls_mpi_init( &s );
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
MBEDTLS_MPI_CHK( ecdsa_sign_det_restartable( &ctx->grp, &r, &s, &ctx->d,
hash, hlen, md_alg, f_rng,
p_rng, rs_ctx ) );
#else
(void) md_alg;
#if defined(MBEDTLS_ECDSA_SIGN_ALT)
MBEDTLS_MPI_CHK( mbedtls_ecdsa_sign( &ctx->grp, &r, &s, &ctx->d,
hash, hlen, f_rng, p_rng ) );
#else
/* Use the same RNG for both blinding and ephemeral key generation */
MBEDTLS_MPI_CHK( ecdsa_sign_restartable( &ctx->grp, &r, &s, &ctx->d,
hash, hlen, f_rng, p_rng, f_rng,
p_rng, rs_ctx ) );
#endif /* MBEDTLS_ECDSA_SIGN_ALT */
#endif /* MBEDTLS_ECDSA_DETERMINISTIC */
MBEDTLS_MPI_CHK( ecdsa_signature_to_asn1( &r, &s, sig, slen ) );
cleanup:
mbedtls_mpi_free( &r );
mbedtls_mpi_free( &s );
return( ret );
}
/*
* Compute and write signature
*/
int mbedtls_ecdsa_write_signature( mbedtls_ecdsa_context *ctx,
mbedtls_md_type_t md_alg,
const unsigned char *hash, size_t hlen,
unsigned char *sig, size_t *slen,
int (*f_rng)(void *, unsigned char *, size_t),
void *p_rng )
{
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( hash != NULL );
ECDSA_VALIDATE_RET( sig != NULL );
ECDSA_VALIDATE_RET( slen != NULL );
return( mbedtls_ecdsa_write_signature_restartable(
ctx, md_alg, hash, hlen, sig, slen, f_rng, p_rng, NULL ) );
}
#if !defined(MBEDTLS_DEPRECATED_REMOVED) && \
defined(MBEDTLS_ECDSA_DETERMINISTIC)
int mbedtls_ecdsa_write_signature_det( mbedtls_ecdsa_context *ctx,
const unsigned char *hash, size_t hlen,
unsigned char *sig, size_t *slen,
mbedtls_md_type_t md_alg )
{
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( hash != NULL );
ECDSA_VALIDATE_RET( sig != NULL );
ECDSA_VALIDATE_RET( slen != NULL );
return( mbedtls_ecdsa_write_signature( ctx, md_alg, hash, hlen, sig, slen,
NULL, NULL ) );
}
#endif
/*
* Read and check signature
*/
int mbedtls_ecdsa_read_signature( mbedtls_ecdsa_context *ctx,
const unsigned char *hash, size_t hlen,
const unsigned char *sig, size_t slen )
{
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( hash != NULL );
ECDSA_VALIDATE_RET( sig != NULL );
return( mbedtls_ecdsa_read_signature_restartable(
ctx, hash, hlen, sig, slen, NULL ) );
}
/*
* Restartable read and check signature
*/
int mbedtls_ecdsa_read_signature_restartable( mbedtls_ecdsa_context *ctx,
const unsigned char *hash, size_t hlen,
const unsigned char *sig, size_t slen,
mbedtls_ecdsa_restart_ctx *rs_ctx )
{
int ret;
unsigned char *p = (unsigned char *) sig;
const unsigned char *end = sig + slen;
size_t len;
mbedtls_mpi r, s;
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( hash != NULL );
ECDSA_VALIDATE_RET( sig != NULL );
mbedtls_mpi_init( &r );
mbedtls_mpi_init( &s );
if( ( ret = mbedtls_asn1_get_tag( &p, end, &len,
MBEDTLS_ASN1_CONSTRUCTED | MBEDTLS_ASN1_SEQUENCE ) ) != 0 )
{
ret += MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
goto cleanup;
}
if( p + len != end )
{
ret = MBEDTLS_ERR_ECP_BAD_INPUT_DATA +
MBEDTLS_ERR_ASN1_LENGTH_MISMATCH;
goto cleanup;
}
if( ( ret = mbedtls_asn1_get_mpi( &p, end, &r ) ) != 0 ||
( ret = mbedtls_asn1_get_mpi( &p, end, &s ) ) != 0 )
{
ret += MBEDTLS_ERR_ECP_BAD_INPUT_DATA;
goto cleanup;
}
#if defined(MBEDTLS_ECDSA_VERIFY_ALT)
if( ( ret = mbedtls_ecdsa_verify( &ctx->grp, hash, hlen,
&ctx->Q, &r, &s ) ) != 0 )
goto cleanup;
#else
if( ( ret = ecdsa_verify_restartable( &ctx->grp, hash, hlen,
&ctx->Q, &r, &s, rs_ctx ) ) != 0 )
goto cleanup;
#endif /* MBEDTLS_ECDSA_VERIFY_ALT */
/* At this point we know that the buffer starts with a valid signature.
* Return 0 if the buffer just contains the signature, and a specific
* error code if the valid signature is followed by more data. */
if( p != end )
ret = MBEDTLS_ERR_ECP_SIG_LEN_MISMATCH;
cleanup:
mbedtls_mpi_free( &r );
mbedtls_mpi_free( &s );
return( ret );
}
#if !defined(MBEDTLS_ECDSA_GENKEY_ALT)
/*
* Generate key pair
*/
int mbedtls_ecdsa_genkey( mbedtls_ecdsa_context *ctx, mbedtls_ecp_group_id gid,
int (*f_rng)(void *, unsigned char *, size_t), void *p_rng )
{
int ret = 0;
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( f_rng != NULL );
ret = mbedtls_ecp_group_load( &ctx->grp, gid );
if( ret != 0 )
return( ret );
return( mbedtls_ecp_gen_keypair( &ctx->grp, &ctx->d,
&ctx->Q, f_rng, p_rng ) );
}
#endif /* !MBEDTLS_ECDSA_GENKEY_ALT */
/*
* Set context from an mbedtls_ecp_keypair
*/
int mbedtls_ecdsa_from_keypair( mbedtls_ecdsa_context *ctx, const mbedtls_ecp_keypair *key )
{
int ret;
ECDSA_VALIDATE_RET( ctx != NULL );
ECDSA_VALIDATE_RET( key != NULL );
if( ( ret = mbedtls_ecp_group_copy( &ctx->grp, &key->grp ) ) != 0 ||
( ret = mbedtls_mpi_copy( &ctx->d, &key->d ) ) != 0 ||
( ret = mbedtls_ecp_copy( &ctx->Q, &key->Q ) ) != 0 )
{
mbedtls_ecdsa_free( ctx );
}
return( ret );
}
/*
* Initialize context
*/
void mbedtls_ecdsa_init( mbedtls_ecdsa_context *ctx )
{
ECDSA_VALIDATE( ctx != NULL );
mbedtls_ecp_keypair_init( ctx );
}
/*
* Free context
*/
void mbedtls_ecdsa_free( mbedtls_ecdsa_context *ctx )
{
if( ctx == NULL )
return;
mbedtls_ecp_keypair_free( ctx );
}
#if defined(MBEDTLS_ECP_RESTARTABLE)
/*
* Initialize a restart context
*/
void mbedtls_ecdsa_restart_init( mbedtls_ecdsa_restart_ctx *ctx )
{
ECDSA_VALIDATE( ctx != NULL );
mbedtls_ecp_restart_init( &ctx->ecp );
ctx->ver = NULL;
ctx->sig = NULL;
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
ctx->det = NULL;
#endif
}
/*
* Free the components of a restart context
*/
void mbedtls_ecdsa_restart_free( mbedtls_ecdsa_restart_ctx *ctx )
{
if( ctx == NULL )
return;
mbedtls_ecp_restart_free( &ctx->ecp );
ecdsa_restart_ver_free( ctx->ver );
mbedtls_free( ctx->ver );
ctx->ver = NULL;
ecdsa_restart_sig_free( ctx->sig );
mbedtls_free( ctx->sig );
ctx->sig = NULL;
#if defined(MBEDTLS_ECDSA_DETERMINISTIC)
ecdsa_restart_det_free( ctx->det );
mbedtls_free( ctx->det );
ctx->det = NULL;
#endif
}
#endif /* MBEDTLS_ECP_RESTARTABLE */
#endif /* MBEDTLS_ECDSA_C */