1 /* crypto/ecdsa/ecs_ossl.c */
2 /*
3 * Written by Nils Larsch for the OpenSSL project
4 */
5 /* ====================================================================
6 * Copyright (c) 1998-2004 The OpenSSL Project. All rights reserved.
7 *
8 * Redistribution and use in source and binary forms, with or without
9 * modification, are permitted provided that the following conditions
10 * are met:
11 *
12 * 1. Redistributions of source code must retain the above copyright
13 * notice, this list of conditions and the following disclaimer.
14 *
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
18 * distribution.
19 *
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/)"
24 *
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.
29 *
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.
33 *
34 * 6. Redistributions of any form whatsoever must retain the following
35 * acknowledgment:
36 * "This product includes software developed by the OpenSSL Project
37 * for use in the OpenSSL Toolkit (http://www.OpenSSL.org/)"
38 *
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 * ====================================================================
52 *
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).
56 *
57 */
58
59 #include "ecs_locl.h"
60 #include <openssl/err.h>
61 #include <openssl/obj_mac.h>
62 #include <openssl/bn.h>
63
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,
67 BIGNUM **rp);
68 static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len,
69 const ECDSA_SIG *sig, EC_KEY *eckey);
70
71 static ECDSA_METHOD openssl_ecdsa_meth = {
72 "OpenSSL ECDSA method",
73 ecdsa_do_sign,
74 ecdsa_sign_setup,
75 ecdsa_do_verify,
76 #if 0
77 NULL, /* init */
78 NULL, /* finish */
79 #endif
80 0, /* flags */
81 NULL /* app_data */
82 };
83
ECDSA_OpenSSL(void)84 const ECDSA_METHOD *ECDSA_OpenSSL(void)
85 {
86 return &openssl_ecdsa_meth;
87 }
88
ecdsa_sign_setup(EC_KEY * eckey,BN_CTX * ctx_in,BIGNUM ** kinvp,BIGNUM ** rp)89 static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
90 BIGNUM **rp)
91 {
92 BN_CTX *ctx = NULL;
93 BIGNUM *k = NULL, *r = NULL, *order = NULL, *X = NULL;
94 EC_POINT *tmp_point=NULL;
95 const EC_GROUP *group;
96 int ret = 0;
97
98 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL)
99 {
100 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER);
101 return 0;
102 }
103
104 if (ctx_in == NULL)
105 {
106 if ((ctx = BN_CTX_new()) == NULL)
107 {
108 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_MALLOC_FAILURE);
109 return 0;
110 }
111 }
112 else
113 ctx = ctx_in;
114
115 k = BN_new(); /* this value is later returned in *kinvp */
116 r = BN_new(); /* this value is later returned in *rp */
117 order = BN_new();
118 X = BN_new();
119 if (!k || !r || !order || !X)
120 {
121 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
122 goto err;
123 }
124 if ((tmp_point = EC_POINT_new(group)) == NULL)
125 {
126 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
127 goto err;
128 }
129 if (!EC_GROUP_get_order(group, order, ctx))
130 {
131 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
132 goto err;
133 }
134
135 do
136 {
137 /* get random k */
138 do
139 if (!BN_rand_range(k, order))
140 {
141 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,
142 ECDSA_R_RANDOM_NUMBER_GENERATION_FAILED);
143 goto err;
144 }
145 while (BN_is_zero(k));
146
147 /* We do not want timing information to leak the length of k,
148 * so we compute G*k using an equivalent scalar of fixed
149 * bit-length. */
150
151 if (!BN_add(k, k, order)) goto err;
152 if (BN_num_bits(k) <= BN_num_bits(order))
153 if (!BN_add(k, k, order)) goto err;
154
155 /* compute r the x-coordinate of generator * k */
156 if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx))
157 {
158 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
159 goto err;
160 }
161 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field)
162 {
163 if (!EC_POINT_get_affine_coordinates_GFp(group,
164 tmp_point, X, NULL, ctx))
165 {
166 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB);
167 goto err;
168 }
169 }
170 #ifndef OPENSSL_NO_EC2M
171 else /* NID_X9_62_characteristic_two_field */
172 {
173 if (!EC_POINT_get_affine_coordinates_GF2m(group,
174 tmp_point, X, NULL, ctx))
175 {
176 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP,ERR_R_EC_LIB);
177 goto err;
178 }
179 }
180 #endif
181 if (!BN_nnmod(r, X, order, ctx))
182 {
183 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
184 goto err;
185 }
186 }
187 while (BN_is_zero(r));
188
189 /* compute the inverse of k */
190 if (!BN_mod_inverse(k, k, order, ctx))
191 {
192 ECDSAerr(ECDSA_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
193 goto err;
194 }
195 /* clear old values if necessary */
196 if (*rp != NULL)
197 BN_clear_free(*rp);
198 if (*kinvp != NULL)
199 BN_clear_free(*kinvp);
200 /* save the pre-computed values */
201 *rp = r;
202 *kinvp = k;
203 ret = 1;
204 err:
205 if (!ret)
206 {
207 if (k != NULL) BN_clear_free(k);
208 if (r != NULL) BN_clear_free(r);
209 }
210 if (ctx_in == NULL)
211 BN_CTX_free(ctx);
212 if (order != NULL)
213 BN_free(order);
214 if (tmp_point != NULL)
215 EC_POINT_free(tmp_point);
216 if (X)
217 BN_clear_free(X);
218 return(ret);
219 }
220
221
ecdsa_do_sign(const unsigned char * dgst,int dgst_len,const BIGNUM * in_kinv,const BIGNUM * in_r,EC_KEY * eckey)222 static ECDSA_SIG *ecdsa_do_sign(const unsigned char *dgst, int dgst_len,
223 const BIGNUM *in_kinv, const BIGNUM *in_r, EC_KEY *eckey)
224 {
225 int ok = 0, i;
226 BIGNUM *kinv=NULL, *s, *m=NULL,*tmp=NULL,*order=NULL;
227 const BIGNUM *ckinv;
228 BN_CTX *ctx = NULL;
229 const EC_GROUP *group;
230 ECDSA_SIG *ret;
231 ECDSA_DATA *ecdsa;
232 const BIGNUM *priv_key;
233
234 ecdsa = ecdsa_check(eckey);
235 group = EC_KEY_get0_group(eckey);
236 priv_key = EC_KEY_get0_private_key(eckey);
237
238 if (group == NULL || priv_key == NULL || ecdsa == NULL)
239 {
240 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_PASSED_NULL_PARAMETER);
241 return NULL;
242 }
243
244 ret = ECDSA_SIG_new();
245 if (!ret)
246 {
247 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
248 return NULL;
249 }
250 s = ret->s;
251
252 if ((ctx = BN_CTX_new()) == NULL || (order = BN_new()) == NULL ||
253 (tmp = BN_new()) == NULL || (m = BN_new()) == NULL)
254 {
255 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
256 goto err;
257 }
258
259 if (!EC_GROUP_get_order(group, order, ctx))
260 {
261 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_EC_LIB);
262 goto err;
263 }
264 i = BN_num_bits(order);
265 /* Need to truncate digest if it is too long: first truncate whole
266 * bytes.
267 */
268 if (8 * dgst_len > i)
269 dgst_len = (i + 7)/8;
270 if (!BN_bin2bn(dgst, dgst_len, m))
271 {
272 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
273 goto err;
274 }
275 /* If still too long truncate remaining bits with a shift */
276 if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7)))
277 {
278 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
279 goto err;
280 }
281 do
282 {
283 if (in_kinv == NULL || in_r == NULL)
284 {
285 if (!ECDSA_sign_setup(eckey, ctx, &kinv, &ret->r))
286 {
287 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN,ERR_R_ECDSA_LIB);
288 goto err;
289 }
290 ckinv = kinv;
291 }
292 else
293 {
294 ckinv = in_kinv;
295 if (BN_copy(ret->r, in_r) == NULL)
296 {
297 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_MALLOC_FAILURE);
298 goto err;
299 }
300 }
301
302 if (!BN_mod_mul(tmp, priv_key, ret->r, order, ctx))
303 {
304 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
305 goto err;
306 }
307 if (!BN_mod_add_quick(s, tmp, m, order))
308 {
309 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
310 goto err;
311 }
312 if (!BN_mod_mul(s, s, ckinv, order, ctx))
313 {
314 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ERR_R_BN_LIB);
315 goto err;
316 }
317 if (BN_is_zero(s))
318 {
319 /* if kinv and r have been supplied by the caller
320 * don't to generate new kinv and r values */
321 if (in_kinv != NULL && in_r != NULL)
322 {
323 ECDSAerr(ECDSA_F_ECDSA_DO_SIGN, ECDSA_R_NEED_NEW_SETUP_VALUES);
324 goto err;
325 }
326 }
327 else
328 /* s != 0 => we have a valid signature */
329 break;
330 }
331 while (1);
332
333 ok = 1;
334 err:
335 if (!ok)
336 {
337 ECDSA_SIG_free(ret);
338 ret = NULL;
339 }
340 if (ctx)
341 BN_CTX_free(ctx);
342 if (m)
343 BN_clear_free(m);
344 if (tmp)
345 BN_clear_free(tmp);
346 if (order)
347 BN_free(order);
348 if (kinv)
349 BN_clear_free(kinv);
350 return ret;
351 }
352
ecdsa_do_verify(const unsigned char * dgst,int dgst_len,const ECDSA_SIG * sig,EC_KEY * eckey)353 static int ecdsa_do_verify(const unsigned char *dgst, int dgst_len,
354 const ECDSA_SIG *sig, EC_KEY *eckey)
355 {
356 int ret = -1, i;
357 BN_CTX *ctx;
358 BIGNUM *order, *u1, *u2, *m, *X;
359 EC_POINT *point = NULL;
360 const EC_GROUP *group;
361 const EC_POINT *pub_key;
362
363 /* check input values */
364 if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL ||
365 (pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL)
366 {
367 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_MISSING_PARAMETERS);
368 return -1;
369 }
370
371 ctx = BN_CTX_new();
372 if (!ctx)
373 {
374 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE);
375 return -1;
376 }
377 BN_CTX_start(ctx);
378 order = BN_CTX_get(ctx);
379 u1 = BN_CTX_get(ctx);
380 u2 = BN_CTX_get(ctx);
381 m = BN_CTX_get(ctx);
382 X = BN_CTX_get(ctx);
383 if (!X)
384 {
385 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
386 goto err;
387 }
388
389 if (!EC_GROUP_get_order(group, order, ctx))
390 {
391 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB);
392 goto err;
393 }
394
395 if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
396 BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
397 BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0)
398 {
399 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ECDSA_R_BAD_SIGNATURE);
400 ret = 0; /* signature is invalid */
401 goto err;
402 }
403 /* calculate tmp1 = inv(S) mod order */
404 if (!BN_mod_inverse(u2, sig->s, order, ctx))
405 {
406 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
407 goto err;
408 }
409 /* digest -> m */
410 i = BN_num_bits(order);
411 /* Need to truncate digest if it is too long: first truncate whole
412 * bytes.
413 */
414 if (8 * dgst_len > i)
415 dgst_len = (i + 7)/8;
416 if (!BN_bin2bn(dgst, dgst_len, m))
417 {
418 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
419 goto err;
420 }
421 /* If still too long truncate remaining bits with a shift */
422 if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7)))
423 {
424 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
425 goto err;
426 }
427 /* u1 = m * tmp mod order */
428 if (!BN_mod_mul(u1, m, u2, order, ctx))
429 {
430 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
431 goto err;
432 }
433 /* u2 = r * w mod q */
434 if (!BN_mod_mul(u2, sig->r, u2, order, ctx))
435 {
436 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
437 goto err;
438 }
439
440 if ((point = EC_POINT_new(group)) == NULL)
441 {
442 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_MALLOC_FAILURE);
443 goto err;
444 }
445 if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx))
446 {
447 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB);
448 goto err;
449 }
450 if (EC_METHOD_get_field_type(EC_GROUP_method_of(group)) == NID_X9_62_prime_field)
451 {
452 if (!EC_POINT_get_affine_coordinates_GFp(group,
453 point, X, NULL, ctx))
454 {
455 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB);
456 goto err;
457 }
458 }
459 #ifndef OPENSSL_NO_EC2M
460 else /* NID_X9_62_characteristic_two_field */
461 {
462 if (!EC_POINT_get_affine_coordinates_GF2m(group,
463 point, X, NULL, ctx))
464 {
465 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_EC_LIB);
466 goto err;
467 }
468 }
469 #endif
470 if (!BN_nnmod(u1, X, order, ctx))
471 {
472 ECDSAerr(ECDSA_F_ECDSA_DO_VERIFY, ERR_R_BN_LIB);
473 goto err;
474 }
475 /* if the signature is correct u1 is equal to sig->r */
476 ret = (BN_ucmp(u1, sig->r) == 0);
477 err:
478 BN_CTX_end(ctx);
479 BN_CTX_free(ctx);
480 if (point)
481 EC_POINT_free(point);
482 return ret;
483 }
484