1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
|
/*
* Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
*
* Licensed under the Apache License 2.0 (the "License"). You may not use
* this file except in compliance with the License. You can obtain a copy
* in the file LICENSE in the source distribution or at
* https://www.openssl.org/source/license.html
*/
#include <string.h>
#include <openssl/err.h>
#include <openssl/obj_mac.h>
#include <openssl/rand.h>
#include "crypto/bn.h"
#include "ec_lcl.h"
int ossl_ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp)
{
if (eckey->group->meth->ecdsa_sign_setup == NULL) {
ECerr(EC_F_OSSL_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return 0;
}
return eckey->group->meth->ecdsa_sign_setup(eckey, ctx_in, kinvp, rp);
}
ECDSA_SIG *ossl_ecdsa_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey)
{
if (eckey->group->meth->ecdsa_sign_sig == NULL) {
ECerr(EC_F_OSSL_ECDSA_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return NULL;
}
return eckey->group->meth->ecdsa_sign_sig(dgst, dgst_len,
in_kinv, in_r, eckey);
}
int ossl_ecdsa_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
if (eckey->group->meth->ecdsa_verify_sig == NULL) {
ECerr(EC_F_OSSL_ECDSA_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_ECDSA);
return 0;
}
return eckey->group->meth->ecdsa_verify_sig(dgst, dgst_len, sig, eckey);
}
int ossl_ecdsa_sign(int type, const unsigned char *dgst, int dlen,
unsigned char *sig, unsigned int *siglen,
const BIGNUM *kinv, const BIGNUM *r, EC_KEY *eckey)
{
ECDSA_SIG *s;
s = ECDSA_do_sign_ex(dgst, dlen, kinv, r, eckey);
if (s == NULL) {
*siglen = 0;
return 0;
}
*siglen = i2d_ECDSA_SIG(s, &sig);
ECDSA_SIG_free(s);
return 1;
}
static int ecdsa_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in,
BIGNUM **kinvp, BIGNUM **rp,
const unsigned char *dgst, int dlen)
{
BN_CTX *ctx = NULL;
BIGNUM *k = NULL, *r = NULL, *X = NULL;
const BIGNUM *order;
EC_POINT *tmp_point = NULL;
const EC_GROUP *group;
int ret = 0;
int order_bits;
const BIGNUM *priv_key;
if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_PASSED_NULL_PARAMETER);
return 0;
}
if ((priv_key = EC_KEY_get0_private_key(eckey)) == NULL) {
ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_MISSING_PRIVATE_KEY);
return 0;
}
if (!EC_KEY_can_sign(eckey)) {
ECerr(EC_F_ECDSA_SIGN_SETUP, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return 0;
}
if ((ctx = ctx_in) == NULL) {
if ((ctx = BN_CTX_new_ex(eckey->libctx)) == NULL) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
return 0;
}
}
k = BN_secure_new(); /* this value is later returned in *kinvp */
r = BN_new(); /* this value is later returned in *rp */
X = BN_new();
if (k == NULL || r == NULL || X == NULL) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_MALLOC_FAILURE);
goto err;
}
if ((tmp_point = EC_POINT_new(group)) == NULL) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
goto err;
}
order = EC_GROUP_get0_order(group);
/* Preallocate space */
order_bits = BN_num_bits(order);
if (!BN_set_bit(k, order_bits)
|| !BN_set_bit(r, order_bits)
|| !BN_set_bit(X, order_bits))
goto err;
do {
/* get random k */
do {
if (dgst != NULL) {
if (!BN_generate_dsa_nonce(k, order, priv_key,
dgst, dlen, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP,
EC_R_RANDOM_NUMBER_GENERATION_FAILED);
goto err;
}
} else {
if (!BN_priv_rand_range_ex(k, order, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP,
EC_R_RANDOM_NUMBER_GENERATION_FAILED);
goto err;
}
}
} while (BN_is_zero(k));
/* compute r the x-coordinate of generator * k */
if (!EC_POINT_mul(group, tmp_point, k, NULL, NULL, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_get_affine_coordinates(group, tmp_point, X, NULL, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_EC_LIB);
goto err;
}
if (!BN_nnmod(r, X, order, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
} while (BN_is_zero(r));
/* compute the inverse of k */
if (!ec_group_do_inverse_ord(group, k, k, ctx)) {
ECerr(EC_F_ECDSA_SIGN_SETUP, ERR_R_BN_LIB);
goto err;
}
/* clear old values if necessary */
BN_clear_free(*rp);
BN_clear_free(*kinvp);
/* save the pre-computed values */
*rp = r;
*kinvp = k;
ret = 1;
err:
if (!ret) {
BN_clear_free(k);
BN_clear_free(r);
}
if (ctx != ctx_in)
BN_CTX_free(ctx);
EC_POINT_free(tmp_point);
BN_clear_free(X);
return ret;
}
int ecdsa_simple_sign_setup(EC_KEY *eckey, BN_CTX *ctx_in, BIGNUM **kinvp,
BIGNUM **rp)
{
return ecdsa_sign_setup(eckey, ctx_in, kinvp, rp, NULL, 0);
}
ECDSA_SIG *ecdsa_simple_sign_sig(const unsigned char *dgst, int dgst_len,
const BIGNUM *in_kinv, const BIGNUM *in_r,
EC_KEY *eckey)
{
int ok = 0, i;
BIGNUM *kinv = NULL, *s, *m = NULL;
const BIGNUM *order, *ckinv;
BN_CTX *ctx = NULL;
const EC_GROUP *group;
ECDSA_SIG *ret;
const BIGNUM *priv_key;
group = EC_KEY_get0_group(eckey);
priv_key = EC_KEY_get0_private_key(eckey);
if (group == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_PASSED_NULL_PARAMETER);
return NULL;
}
if (priv_key == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, EC_R_MISSING_PRIVATE_KEY);
return NULL;
}
if (!EC_KEY_can_sign(eckey)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return NULL;
}
ret = ECDSA_SIG_new();
if (ret == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_MALLOC_FAILURE);
return NULL;
}
ret->r = BN_new();
ret->s = BN_new();
if (ret->r == NULL || ret->s == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_MALLOC_FAILURE);
goto err;
}
s = ret->s;
if ((ctx = BN_CTX_new_ex(eckey->libctx)) == NULL
|| (m = BN_new()) == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_MALLOC_FAILURE);
goto err;
}
order = EC_GROUP_get0_order(group);
i = BN_num_bits(order);
/*
* Need to truncate digest if it is too long: first truncate whole bytes.
*/
if (8 * dgst_len > i)
dgst_len = (i + 7) / 8;
if (!BN_bin2bn(dgst, dgst_len, m)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_BN_LIB);
goto err;
}
/* If still too long, truncate remaining bits with a shift */
if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_BN_LIB);
goto err;
}
do {
if (in_kinv == NULL || in_r == NULL) {
if (!ecdsa_sign_setup(eckey, ctx, &kinv, &ret->r, dgst, dgst_len)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_ECDSA_LIB);
goto err;
}
ckinv = kinv;
} else {
ckinv = in_kinv;
if (BN_copy(ret->r, in_r) == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_MALLOC_FAILURE);
goto err;
}
}
/*
* With only one multiplicant being in Montgomery domain
* multiplication yields real result without post-conversion.
* Also note that all operations but last are performed with
* zero-padded vectors. Last operation, BN_mod_mul_montgomery
* below, returns user-visible value with removed zero padding.
*/
if (!bn_to_mont_fixed_top(s, ret->r, group->mont_data, ctx)
|| !bn_mul_mont_fixed_top(s, s, priv_key, group->mont_data, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_BN_LIB);
goto err;
}
if (!bn_mod_add_fixed_top(s, s, m, order)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_BN_LIB);
goto err;
}
/*
* |s| can still be larger than modulus, because |m| can be. In
* such case we count on Montgomery reduction to tie it up.
*/
if (!bn_to_mont_fixed_top(s, s, group->mont_data, ctx)
|| !BN_mod_mul_montgomery(s, s, ckinv, group->mont_data, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, ERR_R_BN_LIB);
goto err;
}
if (BN_is_zero(s)) {
/*
* if kinv and r have been supplied by the caller, don't
* generate new kinv and r values
*/
if (in_kinv != NULL && in_r != NULL) {
ECerr(EC_F_ECDSA_SIMPLE_SIGN_SIG, EC_R_NEED_NEW_SETUP_VALUES);
goto err;
}
} else {
/* s != 0 => we have a valid signature */
break;
}
} while (1);
ok = 1;
err:
if (!ok) {
ECDSA_SIG_free(ret);
ret = NULL;
}
BN_CTX_free(ctx);
BN_clear_free(m);
BN_clear_free(kinv);
return ret;
}
/*-
* returns
* 1: correct signature
* 0: incorrect signature
* -1: error
*/
int ossl_ecdsa_verify(int type, const unsigned char *dgst, int dgst_len,
const unsigned char *sigbuf, int sig_len, EC_KEY *eckey)
{
ECDSA_SIG *s;
const unsigned char *p = sigbuf;
unsigned char *der = NULL;
int derlen = -1;
int ret = -1;
s = ECDSA_SIG_new();
if (s == NULL)
return ret;
if (d2i_ECDSA_SIG(&s, &p, sig_len) == NULL)
goto err;
/* Ensure signature uses DER and doesn't have trailing garbage */
derlen = i2d_ECDSA_SIG(s, &der);
if (derlen != sig_len || memcmp(sigbuf, der, derlen) != 0)
goto err;
ret = ECDSA_do_verify(dgst, dgst_len, s, eckey);
err:
OPENSSL_clear_free(der, derlen);
ECDSA_SIG_free(s);
return ret;
}
int ecdsa_simple_verify_sig(const unsigned char *dgst, int dgst_len,
const ECDSA_SIG *sig, EC_KEY *eckey)
{
int ret = -1, i;
BN_CTX *ctx;
const BIGNUM *order;
BIGNUM *u1, *u2, *m, *X;
EC_POINT *point = NULL;
const EC_GROUP *group;
const EC_POINT *pub_key;
/* check input values */
if (eckey == NULL || (group = EC_KEY_get0_group(eckey)) == NULL ||
(pub_key = EC_KEY_get0_public_key(eckey)) == NULL || sig == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, EC_R_MISSING_PARAMETERS);
return -1;
}
if (!EC_KEY_can_sign(eckey)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, EC_R_CURVE_DOES_NOT_SUPPORT_SIGNING);
return -1;
}
ctx = BN_CTX_new_ex(eckey->libctx);
if (ctx == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_MALLOC_FAILURE);
return -1;
}
BN_CTX_start(ctx);
u1 = BN_CTX_get(ctx);
u2 = BN_CTX_get(ctx);
m = BN_CTX_get(ctx);
X = BN_CTX_get(ctx);
if (X == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
order = EC_GROUP_get0_order(group);
if (order == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_EC_LIB);
goto err;
}
if (BN_is_zero(sig->r) || BN_is_negative(sig->r) ||
BN_ucmp(sig->r, order) >= 0 || BN_is_zero(sig->s) ||
BN_is_negative(sig->s) || BN_ucmp(sig->s, order) >= 0) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, EC_R_BAD_SIGNATURE);
ret = 0; /* signature is invalid */
goto err;
}
/* calculate tmp1 = inv(S) mod order */
if (!ec_group_do_inverse_ord(group, u2, sig->s, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
/* digest -> m */
i = BN_num_bits(order);
/*
* Need to truncate digest if it is too long: first truncate whole bytes.
*/
if (8 * dgst_len > i)
dgst_len = (i + 7) / 8;
if (!BN_bin2bn(dgst, dgst_len, m)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
/* If still too long truncate remaining bits with a shift */
if ((8 * dgst_len > i) && !BN_rshift(m, m, 8 - (i & 0x7))) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
/* u1 = m * tmp mod order */
if (!BN_mod_mul(u1, m, u2, order, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
/* u2 = r * w mod q */
if (!BN_mod_mul(u2, sig->r, u2, order, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
if ((point = EC_POINT_new(group)) == NULL) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_MALLOC_FAILURE);
goto err;
}
if (!EC_POINT_mul(group, point, u1, pub_key, u2, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_EC_LIB);
goto err;
}
if (!EC_POINT_get_affine_coordinates(group, point, X, NULL, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_EC_LIB);
goto err;
}
if (!BN_nnmod(u1, X, order, ctx)) {
ECerr(EC_F_ECDSA_SIMPLE_VERIFY_SIG, ERR_R_BN_LIB);
goto err;
}
/* if the signature is correct u1 is equal to sig->r */
ret = (BN_ucmp(u1, sig->r) == 0);
err:
BN_CTX_end(ctx);
BN_CTX_free(ctx);
EC_POINT_free(point);
return ret;
}
|