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 <string.h>
56
57 #include <openssl/bn.h>
58 #include <openssl/err.h>
59 #include <openssl/mem.h>
60
61 #include "../ec/internal.h"
62
63
ECDSA_sign(int type,const uint8_t * digest,size_t digest_len,uint8_t * sig,unsigned int * sig_len,EC_KEY * eckey)64 int ECDSA_sign(int type, const uint8_t *digest, size_t digest_len, uint8_t *sig,
65 unsigned int *sig_len, EC_KEY *eckey) {
66 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
67 return eckey->ecdsa_meth->sign(digest, digest_len, sig, sig_len, eckey);
68 }
69
70 return ECDSA_sign_ex(type, digest, digest_len, sig, sig_len, NULL, NULL,
71 eckey);
72 }
73
ECDSA_verify(int type,const uint8_t * digest,size_t digest_len,const uint8_t * sig,size_t sig_len,EC_KEY * eckey)74 int ECDSA_verify(int type, const uint8_t *digest, size_t digest_len,
75 const uint8_t *sig, size_t sig_len, EC_KEY *eckey) {
76 ECDSA_SIG *s;
77 int ret = 0;
78 uint8_t *der = NULL;
79
80 if (eckey->ecdsa_meth && eckey->ecdsa_meth->verify) {
81 return eckey->ecdsa_meth->verify(digest, digest_len, sig, sig_len, eckey);
82 }
83
84 s = ECDSA_SIG_new();
85 const uint8_t *sigp = sig;
86 if (s == NULL || d2i_ECDSA_SIG(&s, &sigp, sig_len) == NULL ||
87 sigp != sig + sig_len) {
88 goto err;
89 }
90
91 /* Ensure that the signature uses DER and doesn't have trailing garbage. */
92 const int der_len = i2d_ECDSA_SIG(s, &der);
93 if (der_len < 0 || (size_t) der_len != sig_len || memcmp(sig, der, sig_len)) {
94 goto err;
95 }
96
97 ret = ECDSA_do_verify(digest, digest_len, s, eckey);
98
99 err:
100 OPENSSL_free(der);
101 ECDSA_SIG_free(s);
102 return ret;
103 }
104
105 /* digest_to_bn interprets |digest_len| bytes from |digest| as a big-endian
106 * number and sets |out| to that value. It then truncates |out| so that it's,
107 * 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)108 static int digest_to_bn(BIGNUM *out, const uint8_t *digest, size_t digest_len,
109 const BIGNUM *order) {
110 size_t num_bits;
111
112 num_bits = BN_num_bits(order);
113 /* Need to truncate digest if it is too long: first truncate whole
114 * bytes. */
115 if (8 * digest_len > num_bits) {
116 digest_len = (num_bits + 7) / 8;
117 }
118 if (!BN_bin2bn(digest, digest_len, out)) {
119 OPENSSL_PUT_ERROR(ECDSA, digest_to_bn, ERR_R_BN_LIB);
120 return 0;
121 }
122
123 /* If still too long truncate remaining bits with a shift */
124 if ((8 * digest_len > num_bits) &&
125 !BN_rshift(out, out, 8 - (num_bits & 0x7))) {
126 OPENSSL_PUT_ERROR(ECDSA, digest_to_bn, ERR_R_BN_LIB);
127 return 0;
128 }
129
130 return 1;
131 }
132
ECDSA_do_sign(const uint8_t * digest,size_t digest_len,EC_KEY * key)133 ECDSA_SIG *ECDSA_do_sign(const uint8_t *digest, size_t digest_len,
134 EC_KEY *key) {
135 return ECDSA_do_sign_ex(digest, digest_len, NULL, NULL, key);
136 }
137
ECDSA_do_verify(const uint8_t * digest,size_t digest_len,const ECDSA_SIG * sig,EC_KEY * eckey)138 int ECDSA_do_verify(const uint8_t *digest, size_t digest_len,
139 const ECDSA_SIG *sig, EC_KEY *eckey) {
140 int ret = 0;
141 BN_CTX *ctx;
142 BIGNUM *order, *u1, *u2, *m, *X;
143 EC_POINT *point = NULL;
144 const EC_GROUP *group;
145 const EC_POINT *pub_key;
146
147 if (eckey->ecdsa_meth && eckey->ecdsa_meth->verify) {
148 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_NOT_IMPLEMENTED);
149 return 0;
150 }
151
152 /* check input values */
153 if ((group = EC_KEY_get0_group(eckey)) == NULL ||
154 (pub_key = EC_KEY_get0_public_key(eckey)) == NULL ||
155 sig == NULL) {
156 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_MISSING_PARAMETERS);
157 return 0;
158 }
159
160 ctx = BN_CTX_new();
161 if (!ctx) {
162 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_MALLOC_FAILURE);
163 return 0;
164 }
165 BN_CTX_start(ctx);
166 order = BN_CTX_get(ctx);
167 u1 = BN_CTX_get(ctx);
168 u2 = BN_CTX_get(ctx);
169 m = BN_CTX_get(ctx);
170 X = BN_CTX_get(ctx);
171 if (!X) {
172 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
173 goto err;
174 }
175
176 if (!EC_GROUP_get_order(group, order, ctx)) {
177 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
178 goto err;
179 }
180
181 if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
182 BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
183 BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
184 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ECDSA_R_BAD_SIGNATURE);
185 ret = 0; /* signature is invalid */
186 goto err;
187 }
188 /* calculate tmp1 = inv(S) mod order */
189 if (!BN_mod_inverse(u2, sig->s, order, ctx)) {
190 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
191 goto err;
192 }
193 if (!digest_to_bn(m, digest, digest_len, order)) {
194 goto err;
195 }
196 /* u1 = m * tmp mod order */
197 if (!BN_mod_mul(u1, m, u2, order, ctx)) {
198 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
199 goto err;
200 }
201 /* u2 = r * w mod q */
202 if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
203 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
204 goto err;
205 }
206
207 point = EC_POINT_new(group);
208 if (point == NULL) {
209 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_MALLOC_FAILURE);
210 goto err;
211 }
212 if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
213 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
214 goto err;
215 }
216 if (!EC_POINT_get_affine_coordinates_GFp(group, point, X, NULL, ctx)) {
217 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_EC_LIB);
218 goto err;
219 }
220 if (!BN_nnmod(u1, X, order, ctx)) {
221 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_verify, ERR_R_BN_LIB);
222 goto err;
223 }
224 /* if the signature is correct u1 is equal to sig->r */
225 ret = (BN_ucmp(u1, sig->r) == 0);
226
227 err:
228 BN_CTX_end(ctx);
229 BN_CTX_free(ctx);
230 EC_POINT_free(point);
231 return ret;
232 }
233
ecdsa_sign_setup(EC_KEY * eckey,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp,const uint8_t * digest,size_t digest_len)234 static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
235 BIGNUM **rp, const uint8_t *digest,
236 size_t digest_len) {
237 BN_CTX *ctx = NULL;
238 BIGNUM *k = NULL, *r = NULL, *order = NULL, *X = NULL;
239 EC_POINT *tmp_point = NULL;
240 const EC_GROUP *group;
241 int ret = 0;
242
243 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
244 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_PASSED_NULL_PARAMETER);
245 return 0;
246 }
247
248 if (ctx_in == NULL) {
249 if ((ctx = BN_CTX_new()) == NULL) {
250 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_MALLOC_FAILURE);
251 return 0;
252 }
253 } else {
254 ctx = ctx_in;
255 }
256
257 k = BN_new(); /* this value is later returned in *kinvp */
258 r = BN_new(); /* this value is later returned in *rp */
259 order = BN_new();
260 X = BN_new();
261 if (!k || !r || !order || !X) {
262 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_MALLOC_FAILURE);
263 goto err;
264 }
265 tmp_point = EC_POINT_new(group);
266 if (tmp_point == NULL) {
267 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
268 goto err;
269 }
270 if (!EC_GROUP_get_order(group, order, ctx)) {
271 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
272 goto err;
273 }
274
275 do {
276 /* If possible, we'll include the private key and message digest in the k
277 * generation. The |digest| argument is only empty if |ECDSA_sign_setup| is
278 * being used. */
279 do {
280 int ok;
281
282 if (digest_len > 0) {
283 ok = BN_generate_dsa_nonce(k, order, EC_KEY_get0_private_key(eckey),
284 digest, digest_len, ctx);
285 } else {
286 ok = BN_rand_range(k, order);
287 }
288 if (!ok) {
289 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup,
290 ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
291 goto err;
292 }
293 } while (BN_is_zero(k));
294
295 /* We do not want timing information to leak the length of k,
296 * so we compute G*k using an equivalent scalar of fixed
297 * bit-length. */
298
299 if (!BN_add(k, k, order)) {
300 goto err;
301 }
302 if (BN_num_bits(k) <= BN_num_bits(order)) {
303 if (!BN_add(k, k, order)) {
304 goto err;
305 }
306 }
307
308 /* compute r the x-coordinate of generator * k */
309 if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
310 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
311 goto err;
312 }
313 if (!EC_POINT_get_affine_coordinates_GFp(group, tmp_point, X, NULL, ctx)) {
314 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_EC_LIB);
315 goto err;
316 }
317
318 if (!BN_nnmod(r, X, order, ctx)) {
319 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_BN_LIB);
320 goto err;
321 }
322 } while (BN_is_zero(r));
323
324 /* compute the inverse of k */
325 if (!BN_mod_inverse(k, k, order, ctx)) {
326 OPENSSL_PUT_ERROR(ECDSA, ecdsa_sign_setup, ERR_R_BN_LIB);
327 goto err;
328 }
329 /* clear old values if necessary */
330 BN_clear_free(*rp);
331 BN_clear_free(*kinvp);
332
333 /* save the pre-computed values */
334 *rp = r;
335 *kinvp = k;
336 ret = 1;
337
338 err:
339 if (!ret) {
340 BN_clear_free(k);
341 BN_clear_free(r);
342 }
343 if (ctx_in == NULL) {
344 BN_CTX_free(ctx);
345 }
346 BN_free(order);
347 EC_POINT_free(tmp_point);
348 BN_clear_free(X);
349 return ret;
350 }
351
ECDSA_sign_setup(EC_KEY * eckey,BN_CTX * ctx,BIGNUM ** kinv,BIGNUM ** rp)352 int ECDSA_sign_setup(EC_KEY *eckey, BN_CTX *ctx, BIGNUM **kinv, BIGNUM **rp) {
353 return ecdsa_sign_setup(eckey, ctx, kinv, rp, NULL, 0);
354 }
355
ECDSA_do_sign_ex(const uint8_t * digest,size_t digest_len,const BIGNUM * in_kinv,const BIGNUM * in_r,EC_KEY * eckey)356 ECDSA_SIG *ECDSA_do_sign_ex(const uint8_t *digest, size_t digest_len,
357 const BIGNUM *in_kinv, const BIGNUM *in_r,
358 EC_KEY *eckey) {
359 int ok = 0;
360 BIGNUM *kinv = NULL, *s, *m = NULL, *tmp = NULL, *order = NULL;
361 const BIGNUM *ckinv;
362 BN_CTX *ctx = NULL;
363 const EC_GROUP *group;
364 ECDSA_SIG *ret;
365 const BIGNUM *priv_key;
366
367 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
368 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ECDSA_R_NOT_IMPLEMENTED);
369 return NULL;
370 }
371
372 group = EC_KEY_get0_group(eckey);
373 priv_key = EC_KEY_get0_private_key(eckey);
374
375 if (group == NULL || priv_key == NULL) {
376 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_PASSED_NULL_PARAMETER);
377 return NULL;
378 }
379
380 ret = ECDSA_SIG_new();
381 if (!ret) {
382 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
383 return NULL;
384 }
385 s = ret->s;
386
387 if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL ||
388 (tmp = BN_new()) == NULL || (m = BN_new()) == NULL) {
389 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
390 goto err;
391 }
392
393 if (!EC_GROUP_get_order(group, order, ctx)) {
394 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_EC_LIB);
395 goto err;
396 }
397 if (!digest_to_bn(m, digest, digest_len, order)) {
398 goto err;
399 }
400 for (;;) {
401 if (in_kinv == NULL || in_r == NULL) {
402 if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, digest, digest_len)) {
403 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_ECDSA_LIB);
404 goto err;
405 }
406 ckinv = kinv;
407 } else {
408 ckinv = in_kinv;
409 if (BN_copy(ret->r, in_r) == NULL) {
410 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_MALLOC_FAILURE);
411 goto err;
412 }
413 }
414
415 if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx)) {
416 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
417 goto err;
418 }
419 if (!BN_mod_add_quick(s, tmp, m, order)) {
420 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
421 goto err;
422 }
423 if (!BN_mod_mul(s, s, ckinv, order, ctx)) {
424 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ERR_R_BN_LIB);
425 goto err;
426 }
427 if (BN_is_zero(s)) {
428 /* if kinv and r have been supplied by the caller
429 * don't to generate new kinv and r values */
430 if (in_kinv != NULL && in_r != NULL) {
431 OPENSSL_PUT_ERROR(ECDSA, ECDSA_do_sign_ex, ECDSA_R_NEED_NEW_SETUP_VALUES);
432 goto err;
433 }
434 } else {
435 /* s != 0 => we have a valid signature */
436 break;
437 }
438 }
439
440 ok = 1;
441
442 err:
443 if (!ok) {
444 ECDSA_SIG_free(ret);
445 ret = NULL;
446 }
447 BN_CTX_free(ctx);
448 BN_clear_free(m);
449 BN_clear_free(tmp);
450 BN_free(order);
451 BN_clear_free(kinv);
452 return ret;
453 }
454
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,EC_KEY * eckey)455 int ECDSA_sign_ex(int type, const uint8_t *digest, size_t digest_len,
456 uint8_t *sig, unsigned int *sig_len, const BIGNUM *kinv,
457 const BIGNUM *r, EC_KEY *eckey) {
458 ECDSA_SIG *s = NULL;
459
460 if (eckey->ecdsa_meth && eckey->ecdsa_meth->sign) {
461 OPENSSL_PUT_ERROR(ECDSA, ECDSA_sign_ex, ECDSA_R_NOT_IMPLEMENTED);
462 *sig_len = 0;
463 return 0;
464 }
465
466 s = ECDSA_do_sign_ex(digest, digest_len, kinv, r, eckey);
467 if (s == NULL) {
468 *sig_len = 0;
469 return 0;
470 }
471 *sig_len = i2d_ECDSA_SIG(s, &sig);
472 ECDSA_SIG_free(s);
473 return 1;
474 }
475