1 /* crypto/ecdsa/ecs_ossl.c */
3 * Written by Nils Larsch for the OpenSSL project
5 /* ====================================================================
6 * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved.
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
15 * 2. Redistributions in binary form must reproduce the above copyright
16 * notice, this list of conditions and the following disclaimer in
17 * the documentation and/or other materials provided with the
20 * 3. All advertising materials mentioning features or use of this
21 * software must display the following acknowledgment:
22 * "This product includes software developed by the OpenSSL Project
23 * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
25 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
26 * endorse or promote products derived from this software without
27 * prior written permission. For written permission, please contact
28 * openssl-core@OpenSSL.org.
30 * 5. Products derived from this software may not be called "OpenSSL"
31 * nor may "OpenSSL" appear in their names without prior written
32 * permission of the OpenSSL Project.
34 * 6. Redistributions of any form whatsoever must retain the following
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
39 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
40 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
41 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
42 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
43 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
44 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
45 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
46 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
47 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
48 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
49 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
50 * OF THE POSSIBILITY OF SUCH DAMAGE.
51 * ====================================================================
53 * This product includes cryptographic software written by Eric Young
54 * (eay@cryptsoft.com). This product includes software written by Tim
55 * Hudson (tjh@cryptsoft.com).
60 #include <openssl/err.h>
61 #include <openssl/obj_mac.h>
62 #include <openssl/bn.h>
64 static ECDSA_SIG
*ecdsa_do_sign(const unsigned char *dgst
, int dlen
,
65 const BIGNUM
*, const BIGNUM
*, EC_KEY
*eckey
);
66 static int ecdsa_sign_setup(EC_KEY
*eckey
, BN_CTX
*ctx_in
, BIGNUM
**kinvp
,
68 static int ecdsa_do_verify(const unsigned char *dgst
, int dgst_len
,
69 const ECDSA_SIG
*sig
, EC_KEY
*eckey
);
71 static ECDSA_METHOD openssl_ecdsa_meth
= {
72 "OpenSSL ECDSA method",
84 const ECDSA_METHOD
*ECDSA_OpenSSL(void)
86 return &openssl_ecdsa_meth
;
89 static int ecdsa_sign_setup(EC_KEY
*eckey
, BN_CTX
*ctx_in
, BIGNUM
**kinvp
,
93 BIGNUM
*k
= NULL
, *r
= NULL
, *order
= NULL
, *X
= NULL
;
94 EC_POINT
*tmp_point
=NULL
;
95 const EC_GROUP
*group
;
98 if (eckey
== NULL
|| (group
= EC_KEY_get0_group(eckey
)) == NULL
)
100 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_PASSED_NULL_PARAMETER
);
106 if ((ctx
= BN_CTX_new()) == NULL
)
108 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
,ERR_R_MALLOC_FAILURE
);
115 k
= BN_new(); /* this value is later returned in *kinvp */
116 r
= BN_new(); /* this value is later returned in *rp */
119 if (!k
|| !r
|| !order
|| !X
)
121 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_MALLOC_FAILURE
);
124 if ((tmp_point
= EC_POINT_new(group
)) == NULL
)
126 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_EC_LIB
);
129 if (!EC_GROUP_get_order(group
, order
, ctx
))
131 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_EC_LIB
);
139 if (!BN_rand_range(k
, order
))
141 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
,
142 ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED
);
145 while (BN_is_zero(k
));
147 /* compute r the x-coordinate of generator * k */
148 if (!EC_POINT_mul(group
, tmp_point
, k
, NULL
, NULL
, ctx
))
150 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_EC_LIB
);
153 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group
)) == NID_X9_62_prime_field
)
155 if (!EC_POINT_get_affine_coordinates_GFp(group
,
156 tmp_point
, X
, NULL
, ctx
))
158 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
,ERR_R_EC_LIB
);
162 else /* NID_X9_62_characteristic_two_field */
164 if (!EC_POINT_get_affine_coordinates_GF2m(group
,
165 tmp_point
, X
, NULL
, ctx
))
167 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
,ERR_R_EC_LIB
);
171 if (!BN_nnmod(r
, X
, order
, ctx
))
173 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_BN_LIB
);
177 while (BN_is_zero(r
));
179 /* compute the inverse of k */
180 if (!BN_mod_inverse(k
, k
, order
, ctx
))
182 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP
, ERR_R_BN_LIB
);
185 /* clear old values if necessary */
189 BN_clear_free(*kinvp
);
190 /* save the pre-computed values */
197 if (k
!= NULL
) BN_clear_free(k
);
198 if (r
!= NULL
) BN_clear_free(r
);
204 if (tmp_point
!= NULL
)
205 EC_POINT_free(tmp_point
);
212 static ECDSA_SIG
*ecdsa_do_sign(const unsigned char *dgst
, int dgst_len
,
213 const BIGNUM
*in_kinv
, const BIGNUM
*in_r
, EC_KEY
*eckey
)
216 BIGNUM
*kinv
=NULL
, *s
, *m
=NULL
,*tmp
=NULL
,*order
=NULL
;
219 const EC_GROUP
*group
;
222 const BIGNUM
*priv_key
;
224 ecdsa
= ecdsa_check(eckey
);
225 group
= EC_KEY_get0_group(eckey
);
226 priv_key
= EC_KEY_get0_private_key(eckey
);
228 if (group
== NULL
|| priv_key
== NULL
|| ecdsa
== NULL
)
230 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_PASSED_NULL_PARAMETER
);
234 ret
= ECDSA_SIG_new();
237 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_MALLOC_FAILURE
);
242 if ((ctx
= BN_CTX_new()) == NULL
|| (order
= BN_new()) == NULL
||
243 (tmp
= BN_new()) == NULL
|| (m
= BN_new()) == NULL
)
245 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_MALLOC_FAILURE
);
249 if (!EC_GROUP_get_order(group
, order
, ctx
))
251 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_EC_LIB
);
254 if (8 * dgst_len
> BN_num_bits(order
))
258 * Should provide for optional hash truncation:
259 * Keep the BN_num_bits(order) leftmost bits of dgst
260 * (see March 2006 FIPS 186-3 draft, which has a few
261 * confusing errors in this part though)
264 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
,
265 ECDSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE
);
269 if (!BN_bin2bn(dgst
, dgst_len
, m
))
271 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_BN_LIB
);
276 if (in_kinv
== NULL
|| in_r
== NULL
)
278 if (!ECDSA_sign_setup(eckey
, ctx
, &kinv
, &ret
->r
))
280 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
,ERR_R_ECDSA_LIB
);
288 if (BN_copy(ret
->r
, in_r
) == NULL
)
290 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_MALLOC_FAILURE
);
295 if (!BN_mod_mul(tmp
, priv_key
, ret
->r
, order
, ctx
))
297 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_BN_LIB
);
300 if (!BN_mod_add_quick(s
, tmp
, m
, order
))
302 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_BN_LIB
);
305 if (!BN_mod_mul(s
, s
, ckinv
, order
, ctx
))
307 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ERR_R_BN_LIB
);
312 /* if kinv and r have been supplied by the caller
313 * don't to generate new kinv and r values */
314 if (in_kinv
!= NULL
&& in_r
!= NULL
)
316 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN
, ECDSA_R_NEED_NEW_SETUP_VALUES
);
321 /* s != 0 => we have a valid signature */
346 static int ecdsa_do_verify(const unsigned char *dgst
, int dgst_len
,
347 const ECDSA_SIG
*sig
, EC_KEY
*eckey
)
351 BIGNUM
*order
, *u1
, *u2
, *m
, *X
;
352 EC_POINT
*point
= NULL
;
353 const EC_GROUP
*group
;
354 const EC_POINT
*pub_key
;
356 /* check input values */
357 if (eckey
== NULL
|| (group
= EC_KEY_get0_group(eckey
)) == NULL
||
358 (pub_key
= EC_KEY_get0_public_key(eckey
)) == NULL
|| sig
== NULL
)
360 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ECDSA_R_MISSING_PARAMETERS
);
367 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_MALLOC_FAILURE
);
371 order
= BN_CTX_get(ctx
);
372 u1
= BN_CTX_get(ctx
);
373 u2
= BN_CTX_get(ctx
);
378 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
382 if (!EC_GROUP_get_order(group
, order
, ctx
))
384 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_EC_LIB
);
387 if (8 * dgst_len
> BN_num_bits(order
))
391 * Should provide for optional hash truncation:
392 * Keep the BN_num_bits(order) leftmost bits of dgst
393 * (see March 2006 FIPS 186-3 draft, which has a few
394 * confusing errors in this part though)
397 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
,
398 ECDSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE
);
403 if (BN_is_zero(sig
->r
) || BN_is_negative(sig
->r
) ||
404 BN_ucmp(sig
->r
, order
) >= 0 || BN_is_zero(sig
->s
) ||
405 BN_is_negative(sig
->s
) || BN_ucmp(sig
->s
, order
) >= 0)
407 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ECDSA_R_BAD_SIGNATURE
);
408 ret
= 0; /* signature is invalid */
411 /* calculate tmp1 = inv(S) mod order */
412 if (!BN_mod_inverse(u2
, sig
->s
, order
, ctx
))
414 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
418 if (!BN_bin2bn(dgst
, dgst_len
, m
))
420 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
423 /* u1 = m * tmp mod order */
424 if (!BN_mod_mul(u1
, m
, u2
, order
, ctx
))
426 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
429 /* u2 = r * w mod q */
430 if (!BN_mod_mul(u2
, sig
->r
, u2
, order
, ctx
))
432 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
436 if ((point
= EC_POINT_new(group
)) == NULL
)
438 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_MALLOC_FAILURE
);
441 if (!EC_POINT_mul(group
, point
, u1
, pub_key
, u2
, ctx
))
443 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_EC_LIB
);
446 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group
)) == NID_X9_62_prime_field
)
448 if (!EC_POINT_get_affine_coordinates_GFp(group
,
449 point
, X
, NULL
, ctx
))
451 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_EC_LIB
);
455 else /* NID_X9_62_characteristic_two_field */
457 if (!EC_POINT_get_affine_coordinates_GF2m(group
,
458 point
, X
, NULL
, ctx
))
460 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_EC_LIB
);
465 if (!BN_nnmod(u1
, X
, order
, ctx
))
467 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY
, ERR_R_BN_LIB
);
470 /* if the signature is correct u1 is equal to sig->r */
471 ret
= (BN_ucmp(u1
, sig
->r
) == 0);
476 EC_POINT_free(point
);