1 /* ====================================================================
2 * Copyright (c) 1998-2005 The OpenSSL Project. All rights reserved.
3 *
4 * Redistribution and use in source and binary forms, with or without
5 * modification, are permitted provided that the following conditions
6 * are met:
7 *
8 * 1. Redistributions of source code must retain the above copyright
9 * notice, this list of conditions and the following disclaimer.
10 *
11 * 2. Redistributions in binary form must reproduce the above copyright
12 * notice, this list of conditions and the following disclaimer in
13 * the documentation and/or other materials provided with the
14 * distribution.
15 *
16 * 3. All advertising materials mentioning features or use of this
17 * software must display the following acknowledgment:
18 * "This product includes software developed by the OpenSSL Project
19 * for use in the OpenSSL Toolkit. (http://www.OpenSSL.org/)"
20 *
21 * 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to
22 * endorse or promote products derived from this software without
23 * prior written permission. For written permission, please contact
24 * openssl-core@OpenSSL.org.
25 *
26 * 5. Products derived from this software may not be called "OpenSSL"
27 * nor may "OpenSSL" appear in their names without prior written
28 * permission of the OpenSSL Project.
29 *
30 * 6. Redistributions of any form whatsoever must retain the following
31 * acknowledgment:
32 * "This product includes software developed by the OpenSSL Project
33 * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
34 *
35 * THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY
36 * EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
37 * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
38 * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR
39 * ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
40 * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
41 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
42 * LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
43 * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT,
44 * STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
45 * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED
46 * OF THE POSSIBILITY OF SUCH DAMAGE.
47 * ====================================================================
48 *
49 * This product includes cryptographic software written by Eric Young
50 * (eay@cryptsoft.com). This product includes software written by Tim
51 * Hudson (tjh@cryptsoft.com). */
52
53 #include <openssl/ecdsa.h>
54
55 #include <assert.h>
56 #include <string.h>
57
58 #include <openssl/bn.h>
59 #include <openssl/bytestring.h>
60 #include <openssl/err.h>
61 #include <openssl/mem.h>
62
63 #include "../bn/internal.h"
64 #include "../ec/internal.h"
65 #include "../internal.h"
66
67
ECDSA_sign(int type,const uint8_t * digest,size_t digest_len,uint8_t * sig,unsigned int * sig_len,const EC_KEY * eckey)68 int ECDSA_sign(int type, const uint8_t *digest, size_t digest_len, uint8_t *sig,
69 unsigned int *sig_len, const EC_KEY *eckey) {
70 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
71 return eckey->ecdsa_meth->sign(digest, digest_len, sig, sig_len,
72 (EC_KEY*) eckey /* cast away const */);
73 }
74
75 return ECDSA_sign_ex(type, digest, digest_len, sig, sig_len, NULL, NULL,
76 eckey);
77 }
78
ECDSA_verify(int type,const uint8_t * digest,size_t digest_len,const uint8_t * sig,size_t sig_len,const EC_KEY * eckey)79 int ECDSA_verify(int type, const uint8_t *digest, size_t digest_len,
80 const uint8_t *sig, size_t sig_len, const EC_KEY *eckey) {
81 ECDSA_SIG *s;
82 int ret = 0;
83 uint8_t *der = NULL;
84
85 /* Decode the ECDSA signature. */
86 s = ECDSA_SIG_from_bytes(sig, sig_len);
87 if (s == NULL) {
88 goto err;
89 }
90
91 /* Defend against potential laxness in the DER parser. */
92 size_t der_len;
93 if (!ECDSA_SIG_to_bytes(&der, &der_len, s) ||
94 der_len != sig_len || OPENSSL_memcmp(sig, der, sig_len) != 0) {
95 /* This should never happen. crypto/bytestring is strictly DER. */
96 OPENSSL_PUT_ERROR(ECDSA, ERR_R_INTERNAL_ERROR);
97 goto err;
98 }
99
100 ret = ECDSA_do_verify(digest, digest_len, s, eckey);
101
102 err:
103 OPENSSL_free(der);
104 ECDSA_SIG_free(s);
105 return ret;
106 }
107
108 /* digest_to_bn interprets |digest_len| bytes from |digest| as a big-endian
109 * number and sets |out| to that value. It then truncates |out| so that it's,
110 * at most, as long as |order|. It returns one on success and zero otherwise. */
digest_to_bn(BIGNUM * out,const uint8_t * digest,size_t digest_len,const BIGNUM * order)111 static int digest_to_bn(BIGNUM *out, const uint8_t *digest, size_t digest_len,
112 const BIGNUM *order) {
113 size_t num_bits;
114
115 num_bits = BN_num_bits(order);
116 /* Need to truncate digest if it is too long: first truncate whole
117 * bytes. */
118 if (8 * digest_len > num_bits) {
119 digest_len = (num_bits + 7) / 8;
120 }
121 if (!BN_bin2bn(digest, digest_len, out)) {
122 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
123 return 0;
124 }
125
126 /* If still too long truncate remaining bits with a shift */
127 if ((8 * digest_len > num_bits) &&
128 !BN_rshift(out, out, 8 - (num_bits & 0x7))) {
129 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
130 return 0;
131 }
132
133 return 1;
134 }
135
ECDSA_do_sign(const uint8_t * digest,size_t digest_len,const EC_KEY * key)136 ECDSA_SIG *ECDSA_do_sign(const uint8_t *digest, size_t digest_len,
137 const EC_KEY *key) {
138 return ECDSA_do_sign_ex(digest, digest_len, NULL, NULL, key);
139 }
140
ECDSA_do_verify(const uint8_t * digest,size_t digest_len,const ECDSA_SIG * sig,const EC_KEY * eckey)141 int ECDSA_do_verify(const uint8_t *digest, size_t digest_len,
142 const ECDSA_SIG *sig, const EC_KEY *eckey) {
143 int ret = 0;
144 BN_CTX *ctx;
145 BIGNUM *u1, *u2, *m, *X;
146 EC_POINT *point = NULL;
147 const EC_GROUP *group;
148 const EC_POINT *pub_key;
149
150 /* check input values */
151 if ((group = EC_KEY_get0_group(eckey)) == NULL ||
152 (pub_key = EC_KEY_get0_public_key(eckey)) == NULL ||
153 sig == NULL) {
154 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_MISSING_PARAMETERS);
155 return 0;
156 }
157
158 ctx = BN_CTX_new();
159 if (!ctx) {
160 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
161 return 0;
162 }
163 BN_CTX_start(ctx);
164 u1 = BN_CTX_get(ctx);
165 u2 = BN_CTX_get(ctx);
166 m = BN_CTX_get(ctx);
167 X = BN_CTX_get(ctx);
168 if (u1 == NULL || u2 == NULL || m == NULL || X == NULL) {
169 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
170 goto err;
171 }
172
173 const BIGNUM *order = EC_GROUP_get0_order(group);
174 if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
175 BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
176 BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
177 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_BAD_SIGNATURE);
178 ret = 0; /* signature is invalid */
179 goto err;
180 }
181 /* calculate tmp1 = inv(S) mod order */
182 int no_inverse;
183 if (!BN_mod_inverse_odd(u2, &no_inverse, sig->s, order, ctx)) {
184 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
185 goto err;
186 }
187 if (!digest_to_bn(m, digest, digest_len, order)) {
188 goto err;
189 }
190 /* u1 = m * tmp mod order */
191 if (!BN_mod_mul(u1, m, u2, order, ctx)) {
192 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
193 goto err;
194 }
195 /* u2 = r * w mod q */
196 if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
197 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
198 goto err;
199 }
200
201 point = EC_POINT_new(group);
202 if (point == NULL) {
203 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
204 goto err;
205 }
206 if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
207 OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
208 goto err;
209 }
210 if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) {
211 OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
212 goto err;
213 }
214 if (!BN_nnmod(u1, X, order, ctx)) {
215 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
216 goto err;
217 }
218 /* if the signature is correct u1 is equal to sig->r */
219 ret = (BN_ucmp(u1, sig->r) == 0);
220
221 err:
222 BN_CTX_end(ctx);
223 BN_CTX_free(ctx);
224 EC_POINT_free(point);
225 return ret;
226 }
227
ecdsa_sign_setup(const EC_KEY * eckey,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp,const uint8_t * digest,size_t digest_len)228 static int ecdsa_sign_setup(const EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
229 BIGNUM **rp, const uint8_t *digest,
230 size_t digest_len) {
231 BN_CTX *ctx = NULL;
232 BIGNUM *k = NULL, *r = NULL, *tmp = NULL;
233 EC_POINT *tmp_point = NULL;
234 const EC_GROUP *group;
235 int ret = 0;
236
237 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
238 OPENSSL_PUT_ERROR(ECDSA, ERR_R_PASSED_NULL_PARAMETER);
239 return 0;
240 }
241
242 if (ctx_in == NULL) {
243 if ((ctx = BN_CTX_new()) == NULL) {
244 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
245 return 0;
246 }
247 } else {
248 ctx = ctx_in;
249 }
250
251 k = BN_new(); /* this value is later returned in *kinvp */
252 r = BN_new(); /* this value is later returned in *rp */
253 tmp = BN_new();
254 if (k == NULL || r == NULL || tmp == NULL) {
255 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
256 goto err;
257 }
258 tmp_point = EC_POINT_new(group);
259 if (tmp_point == NULL) {
260 OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
261 goto err;
262 }
263
264 const BIGNUM *order = EC_GROUP_get0_order(group);
265
266 do {
267 /* If possible, we'll include the private key and message digest in the k
268 * generation. The |digest| argument is only empty if |ECDSA_sign_setup| is
269 * being used. */
270 if (digest_len > 0) {
271 do {
272 if (!BN_generate_dsa_nonce(k, order, EC_KEY_get0_private_key(eckey),
273 digest, digest_len, ctx)) {
274 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
275 goto err;
276 }
277 } while (BN_is_zero(k));
278 } else if (!BN_rand_range_ex(k, 1, order)) {
279 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
280 goto err;
281 }
282
283 /* We do not want timing information to leak the length of k,
284 * so we compute G*k using an equivalent scalar of fixed
285 * bit-length. */
286
287 if (!BN_add(k, k, order)) {
288 goto err;
289 }
290 if (BN_num_bits(k) <= BN_num_bits(order)) {
291 if (!BN_add(k, k, order)) {
292 goto err;
293 }
294 }
295
296 /* compute r the x-coordinate of generator * k */
297 if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
298 OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
299 goto err;
300 }
301 if (!EC_POINT_get_affine_coordinates_GFp(group, tmp_point, tmp, NULL,
302 ctx)) {
303 OPENSSL_PUT_ERROR(ECDSA, ERR_R_EC_LIB);
304 goto err;
305 }
306
307 if (!BN_nnmod(r, tmp, order, ctx)) {
308 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
309 goto err;
310 }
311 } while (BN_is_zero(r));
312
313 /* Compute the inverse of k. The order is a prime, so use Fermat's Little
314 * Theorem. Note |ec_group_get_mont_data| may return NULL but
315 * |bn_mod_inverse_prime| allows this. */
316 if (!bn_mod_inverse_prime(k, k, order, ctx, ec_group_get_mont_data(group))) {
317 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
318 goto err;
319 }
320 /* clear old values if necessary */
321 BN_clear_free(*rp);
322 BN_clear_free(*kinvp);
323
324 /* save the pre-computed values */
325 *rp = r;
326 *kinvp = k;
327 ret = 1;
328
329 err:
330 if (!ret) {
331 BN_clear_free(k);
332 BN_clear_free(r);
333 }
334 if (ctx_in == NULL) {
335 BN_CTX_free(ctx);
336 }
337 EC_POINT_free(tmp_point);
338 BN_clear_free(tmp);
339 return ret;
340 }
341
ECDSA_sign_setup(const EC_KEY * eckey,BN_CTX * ctx,BIGNUM ** kinv,BIGNUM ** rp)342 int ECDSA_sign_setup(const EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv,
343 BIGNUM **rp) {
344 return ecdsa_sign_setup(eckey, ctx, kinv, rp, NULL, 0);
345 }
346
ECDSA_do_sign_ex(const uint8_t * digest,size_t digest_len,const BIGNUM * in_kinv,const BIGNUM * in_r,const EC_KEY * eckey)347 ECDSA_SIG *ECDSA_do_sign_ex(const uint8_t *digest, size_t digest_len,
348 const BIGNUM *in_kinv, const BIGNUM *in_r,
349 const EC_KEY *eckey) {
350 int ok = 0;
351 BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL;
352 const BIGNUM *ckinv;
353 BN_CTX *ctx = NULL;
354 const EC_GROUP *group;
355 ECDSA_SIG *ret;
356 const BIGNUM *priv_key;
357
358 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
359 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED);
360 return NULL;
361 }
362
363 group = EC_KEY_get0_group(eckey);
364 priv_key = EC_KEY_get0_private_key(eckey);
365
366 if (group == NULL || priv_key == NULL) {
367 OPENSSL_PUT_ERROR(ECDSA, ERR_R_PASSED_NULL_PARAMETER);
368 return NULL;
369 }
370
371 ret = ECDSA_SIG_new();
372 if (!ret) {
373 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
374 return NULL;
375 }
376 s = ret->s;
377
378 if ((ctx = BN_CTX_new()) == NULL ||
379 (tmp = BN_new()) == NULL ||
380 (m = BN_new()) == NULL) {
381 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
382 goto err;
383 }
384
385 const BIGNUM *order = EC_GROUP_get0_order(group);
386
387 if (!digest_to_bn(m, digest, digest_len, order)) {
388 goto err;
389 }
390 for (;;) {
391 if (in_kinv == NULL || in_r == NULL) {
392 if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, digest, digest_len)) {
393 OPENSSL_PUT_ERROR(ECDSA, ERR_R_ECDSA_LIB);
394 goto err;
395 }
396 ckinv = kinv;
397 } else {
398 ckinv = in_kinv;
399 if (BN_copy(ret->r, in_r) == NULL) {
400 OPENSSL_PUT_ERROR(ECDSA, ERR_R_MALLOC_FAILURE);
401 goto err;
402 }
403 }
404
405 if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
406 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
407 goto err;
408 }
409 if (!BN_mod_add_quick(s, tmp, m, order)) {
410 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
411 goto err;
412 }
413 if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
414 OPENSSL_PUT_ERROR(ECDSA, ERR_R_BN_LIB);
415 goto err;
416 }
417 if (BN_is_zero(s)) {
418 /* if kinv and r have been supplied by the caller
419 * don't to generate new kinv and r values */
420 if (in_kinv != NULL && in_r != NULL) {
421 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NEED_NEW_SETUP_VALUES);
422 goto err;
423 }
424 } else {
425 /* s != 0 => we have a valid signature */
426 break;
427 }
428 }
429
430 ok = 1;
431
432 err:
433 if (!ok) {
434 ECDSA_SIG_free(ret);
435 ret = NULL;
436 }
437 BN_CTX_free(ctx);
438 BN_clear_free(m);
439 BN_clear_free(tmp);
440 BN_clear_free(kinv);
441 return ret;
442 }
443
ECDSA_sign_ex(int type,const uint8_t * digest,size_t digest_len,uint8_t * sig,unsigned int * sig_len,const BIGNUM * kinv,const BIGNUM * r,const EC_KEY * eckey)444 int ECDSA_sign_ex(int type, const uint8_t *digest, size_t digest_len,
445 uint8_t *sig, unsigned int *sig_len, const BIGNUM *kinv,
446 const BIGNUM *r, const EC_KEY *eckey) {
447 int ret = 0;
448 ECDSA_SIG *s = NULL;
449
450 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
451 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_NOT_IMPLEMENTED);
452 *sig_len = 0;
453 goto err;
454 }
455
456 s = ECDSA_do_sign_ex(digest, digest_len, kinv, r, eckey);
457 if (s == NULL) {
458 *sig_len = 0;
459 goto err;
460 }
461
462 CBB cbb;
463 CBB_zero(&cbb);
464 size_t len;
465 if (!CBB_init_fixed(&cbb, sig, ECDSA_size(eckey)) ||
466 !ECDSA_SIG_marshal(&cbb, s) ||
467 !CBB_finish(&cbb, NULL, &len)) {
468 OPENSSL_PUT_ERROR(ECDSA, ECDSA_R_ENCODE_ERROR);
469 CBB_cleanup(&cbb);
470 *sig_len = 0;
471 goto err;
472 }
473 *sig_len = (unsigned)len;
474 ret = 1;
475
476 err:
477 ECDSA_SIG_free(s);
478 return ret;
479 }
480