diff options
Diffstat (limited to '')
-rw-r--r-- | src/lib/libcrypto/jpake/jpake.c | 483 |
1 files changed, 483 insertions, 0 deletions
diff --git a/src/lib/libcrypto/jpake/jpake.c b/src/lib/libcrypto/jpake/jpake.c new file mode 100644 index 0000000000..577b7ef375 --- /dev/null +++ b/src/lib/libcrypto/jpake/jpake.c | |||
@@ -0,0 +1,483 @@ | |||
1 | #include "jpake.h" | ||
2 | |||
3 | #include <openssl/crypto.h> | ||
4 | #include <openssl/sha.h> | ||
5 | #include <openssl/err.h> | ||
6 | #include <memory.h> | ||
7 | #include <assert.h> | ||
8 | |||
9 | /* | ||
10 | * In the definition, (xa, xb, xc, xd) are Alice's (x1, x2, x3, x4) or | ||
11 | * Bob's (x3, x4, x1, x2). If you see what I mean. | ||
12 | */ | ||
13 | |||
14 | typedef struct | ||
15 | { | ||
16 | char *name; /* Must be unique */ | ||
17 | char *peer_name; | ||
18 | BIGNUM *p; | ||
19 | BIGNUM *g; | ||
20 | BIGNUM *q; | ||
21 | BIGNUM *gxc; /* Alice's g^{x3} or Bob's g^{x1} */ | ||
22 | BIGNUM *gxd; /* Alice's g^{x4} or Bob's g^{x2} */ | ||
23 | } JPAKE_CTX_PUBLIC; | ||
24 | |||
25 | struct JPAKE_CTX | ||
26 | { | ||
27 | JPAKE_CTX_PUBLIC p; | ||
28 | BIGNUM *secret; /* The shared secret */ | ||
29 | BN_CTX *ctx; | ||
30 | BIGNUM *xa; /* Alice's x1 or Bob's x3 */ | ||
31 | BIGNUM *xb; /* Alice's x2 or Bob's x4 */ | ||
32 | BIGNUM *key; /* The calculated (shared) key */ | ||
33 | }; | ||
34 | |||
35 | static void JPAKE_ZKP_init(JPAKE_ZKP *zkp) | ||
36 | { | ||
37 | zkp->gr = BN_new(); | ||
38 | zkp->b = BN_new(); | ||
39 | } | ||
40 | |||
41 | static void JPAKE_ZKP_release(JPAKE_ZKP *zkp) | ||
42 | { | ||
43 | BN_free(zkp->b); | ||
44 | BN_free(zkp->gr); | ||
45 | } | ||
46 | |||
47 | /* Two birds with one stone - make the global name as expected */ | ||
48 | #define JPAKE_STEP_PART_init JPAKE_STEP2_init | ||
49 | #define JPAKE_STEP_PART_release JPAKE_STEP2_release | ||
50 | |||
51 | void JPAKE_STEP_PART_init(JPAKE_STEP_PART *p) | ||
52 | { | ||
53 | p->gx = BN_new(); | ||
54 | JPAKE_ZKP_init(&p->zkpx); | ||
55 | } | ||
56 | |||
57 | void JPAKE_STEP_PART_release(JPAKE_STEP_PART *p) | ||
58 | { | ||
59 | JPAKE_ZKP_release(&p->zkpx); | ||
60 | BN_free(p->gx); | ||
61 | } | ||
62 | |||
63 | void JPAKE_STEP1_init(JPAKE_STEP1 *s1) | ||
64 | { | ||
65 | JPAKE_STEP_PART_init(&s1->p1); | ||
66 | JPAKE_STEP_PART_init(&s1->p2); | ||
67 | } | ||
68 | |||
69 | void JPAKE_STEP1_release(JPAKE_STEP1 *s1) | ||
70 | { | ||
71 | JPAKE_STEP_PART_release(&s1->p2); | ||
72 | JPAKE_STEP_PART_release(&s1->p1); | ||
73 | } | ||
74 | |||
75 | static void JPAKE_CTX_init(JPAKE_CTX *ctx, const char *name, | ||
76 | const char *peer_name, const BIGNUM *p, | ||
77 | const BIGNUM *g, const BIGNUM *q, | ||
78 | const BIGNUM *secret) | ||
79 | { | ||
80 | ctx->p.name = OPENSSL_strdup(name); | ||
81 | ctx->p.peer_name = OPENSSL_strdup(peer_name); | ||
82 | ctx->p.p = BN_dup(p); | ||
83 | ctx->p.g = BN_dup(g); | ||
84 | ctx->p.q = BN_dup(q); | ||
85 | ctx->secret = BN_dup(secret); | ||
86 | |||
87 | ctx->p.gxc = BN_new(); | ||
88 | ctx->p.gxd = BN_new(); | ||
89 | |||
90 | ctx->xa = BN_new(); | ||
91 | ctx->xb = BN_new(); | ||
92 | ctx->key = BN_new(); | ||
93 | ctx->ctx = BN_CTX_new(); | ||
94 | } | ||
95 | |||
96 | static void JPAKE_CTX_release(JPAKE_CTX *ctx) | ||
97 | { | ||
98 | BN_CTX_free(ctx->ctx); | ||
99 | BN_clear_free(ctx->key); | ||
100 | BN_clear_free(ctx->xb); | ||
101 | BN_clear_free(ctx->xa); | ||
102 | |||
103 | BN_free(ctx->p.gxd); | ||
104 | BN_free(ctx->p.gxc); | ||
105 | |||
106 | BN_clear_free(ctx->secret); | ||
107 | BN_free(ctx->p.q); | ||
108 | BN_free(ctx->p.g); | ||
109 | BN_free(ctx->p.p); | ||
110 | OPENSSL_free(ctx->p.peer_name); | ||
111 | OPENSSL_free(ctx->p.name); | ||
112 | |||
113 | memset(ctx, '\0', sizeof *ctx); | ||
114 | } | ||
115 | |||
116 | JPAKE_CTX *JPAKE_CTX_new(const char *name, const char *peer_name, | ||
117 | const BIGNUM *p, const BIGNUM *g, const BIGNUM *q, | ||
118 | const BIGNUM *secret) | ||
119 | { | ||
120 | JPAKE_CTX *ctx = OPENSSL_malloc(sizeof *ctx); | ||
121 | |||
122 | JPAKE_CTX_init(ctx, name, peer_name, p, g, q, secret); | ||
123 | |||
124 | return ctx; | ||
125 | } | ||
126 | |||
127 | void JPAKE_CTX_free(JPAKE_CTX *ctx) | ||
128 | { | ||
129 | JPAKE_CTX_release(ctx); | ||
130 | OPENSSL_free(ctx); | ||
131 | } | ||
132 | |||
133 | static void hashlength(SHA_CTX *sha, size_t l) | ||
134 | { | ||
135 | unsigned char b[2]; | ||
136 | |||
137 | assert(l <= 0xffff); | ||
138 | b[0] = l >> 8; | ||
139 | b[1] = l&0xff; | ||
140 | SHA1_Update(sha, b, 2); | ||
141 | } | ||
142 | |||
143 | static void hashstring(SHA_CTX *sha, const char *string) | ||
144 | { | ||
145 | size_t l = strlen(string); | ||
146 | |||
147 | hashlength(sha, l); | ||
148 | SHA1_Update(sha, string, l); | ||
149 | } | ||
150 | |||
151 | static void hashbn(SHA_CTX *sha, const BIGNUM *bn) | ||
152 | { | ||
153 | size_t l = BN_num_bytes(bn); | ||
154 | unsigned char *bin = OPENSSL_malloc(l); | ||
155 | |||
156 | hashlength(sha, l); | ||
157 | BN_bn2bin(bn, bin); | ||
158 | SHA1_Update(sha, bin, l); | ||
159 | OPENSSL_free(bin); | ||
160 | } | ||
161 | |||
162 | /* h=hash(g, g^r, g^x, name) */ | ||
163 | static void zkp_hash(BIGNUM *h, const BIGNUM *zkpg, const JPAKE_STEP_PART *p, | ||
164 | const char *proof_name) | ||
165 | { | ||
166 | unsigned char md[SHA_DIGEST_LENGTH]; | ||
167 | SHA_CTX sha; | ||
168 | |||
169 | /* | ||
170 | * XXX: hash should not allow moving of the boundaries - Java code | ||
171 | * is flawed in this respect. Length encoding seems simplest. | ||
172 | */ | ||
173 | SHA1_Init(&sha); | ||
174 | hashbn(&sha, zkpg); | ||
175 | assert(!BN_is_zero(p->zkpx.gr)); | ||
176 | hashbn(&sha, p->zkpx.gr); | ||
177 | hashbn(&sha, p->gx); | ||
178 | hashstring(&sha, proof_name); | ||
179 | SHA1_Final(md, &sha); | ||
180 | BN_bin2bn(md, SHA_DIGEST_LENGTH, h); | ||
181 | } | ||
182 | |||
183 | /* | ||
184 | * Prove knowledge of x | ||
185 | * Note that p->gx has already been calculated | ||
186 | */ | ||
187 | static void generate_zkp(JPAKE_STEP_PART *p, const BIGNUM *x, | ||
188 | const BIGNUM *zkpg, JPAKE_CTX *ctx) | ||
189 | { | ||
190 | BIGNUM *r = BN_new(); | ||
191 | BIGNUM *h = BN_new(); | ||
192 | BIGNUM *t = BN_new(); | ||
193 | |||
194 | /* | ||
195 | * r in [0,q) | ||
196 | * XXX: Java chooses r in [0, 2^160) - i.e. distribution not uniform | ||
197 | */ | ||
198 | BN_rand_range(r, ctx->p.q); | ||
199 | /* g^r */ | ||
200 | BN_mod_exp(p->zkpx.gr, zkpg, r, ctx->p.p, ctx->ctx); | ||
201 | |||
202 | /* h=hash... */ | ||
203 | zkp_hash(h, zkpg, p, ctx->p.name); | ||
204 | |||
205 | /* b = r - x*h */ | ||
206 | BN_mod_mul(t, x, h, ctx->p.q, ctx->ctx); | ||
207 | BN_mod_sub(p->zkpx.b, r, t, ctx->p.q, ctx->ctx); | ||
208 | |||
209 | /* cleanup */ | ||
210 | BN_free(t); | ||
211 | BN_free(h); | ||
212 | BN_free(r); | ||
213 | } | ||
214 | |||
215 | static int verify_zkp(const JPAKE_STEP_PART *p, const BIGNUM *zkpg, | ||
216 | JPAKE_CTX *ctx) | ||
217 | { | ||
218 | BIGNUM *h = BN_new(); | ||
219 | BIGNUM *t1 = BN_new(); | ||
220 | BIGNUM *t2 = BN_new(); | ||
221 | BIGNUM *t3 = BN_new(); | ||
222 | int ret = 0; | ||
223 | |||
224 | zkp_hash(h, zkpg, p, ctx->p.peer_name); | ||
225 | |||
226 | /* t1 = g^b */ | ||
227 | BN_mod_exp(t1, zkpg, p->zkpx.b, ctx->p.p, ctx->ctx); | ||
228 | /* t2 = (g^x)^h = g^{hx} */ | ||
229 | BN_mod_exp(t2, p->gx, h, ctx->p.p, ctx->ctx); | ||
230 | /* t3 = t1 * t2 = g^{hx} * g^b = g^{hx+b} = g^r (allegedly) */ | ||
231 | BN_mod_mul(t3, t1, t2, ctx->p.p, ctx->ctx); | ||
232 | |||
233 | /* verify t3 == g^r */ | ||
234 | if(BN_cmp(t3, p->zkpx.gr) == 0) | ||
235 | ret = 1; | ||
236 | else | ||
237 | JPAKEerr(JPAKE_F_VERIFY_ZKP, JPAKE_R_ZKP_VERIFY_FAILED); | ||
238 | |||
239 | /* cleanup */ | ||
240 | BN_free(t3); | ||
241 | BN_free(t2); | ||
242 | BN_free(t1); | ||
243 | BN_free(h); | ||
244 | |||
245 | return ret; | ||
246 | } | ||
247 | |||
248 | static void generate_step_part(JPAKE_STEP_PART *p, const BIGNUM *x, | ||
249 | const BIGNUM *g, JPAKE_CTX *ctx) | ||
250 | { | ||
251 | BN_mod_exp(p->gx, g, x, ctx->p.p, ctx->ctx); | ||
252 | generate_zkp(p, x, g, ctx); | ||
253 | } | ||
254 | |||
255 | /* Generate each party's random numbers. xa is in [0, q), xb is in [1, q). */ | ||
256 | static void genrand(JPAKE_CTX *ctx) | ||
257 | { | ||
258 | BIGNUM *qm1; | ||
259 | |||
260 | /* xa in [0, q) */ | ||
261 | BN_rand_range(ctx->xa, ctx->p.q); | ||
262 | |||
263 | /* q-1 */ | ||
264 | qm1 = BN_new(); | ||
265 | BN_copy(qm1, ctx->p.q); | ||
266 | BN_sub_word(qm1, 1); | ||
267 | |||
268 | /* ... and xb in [0, q-1) */ | ||
269 | BN_rand_range(ctx->xb, qm1); | ||
270 | /* [1, q) */ | ||
271 | BN_add_word(ctx->xb, 1); | ||
272 | |||
273 | /* cleanup */ | ||
274 | BN_free(qm1); | ||
275 | } | ||
276 | |||
277 | int JPAKE_STEP1_generate(JPAKE_STEP1 *send, JPAKE_CTX *ctx) | ||
278 | { | ||
279 | genrand(ctx); | ||
280 | generate_step_part(&send->p1, ctx->xa, ctx->p.g, ctx); | ||
281 | generate_step_part(&send->p2, ctx->xb, ctx->p.g, ctx); | ||
282 | |||
283 | return 1; | ||
284 | } | ||
285 | |||
286 | int JPAKE_STEP1_process(JPAKE_CTX *ctx, const JPAKE_STEP1 *received) | ||
287 | { | ||
288 | /* verify their ZKP(xc) */ | ||
289 | if(!verify_zkp(&received->p1, ctx->p.g, ctx)) | ||
290 | { | ||
291 | JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X3_FAILED); | ||
292 | return 0; | ||
293 | } | ||
294 | |||
295 | /* verify their ZKP(xd) */ | ||
296 | if(!verify_zkp(&received->p2, ctx->p.g, ctx)) | ||
297 | { | ||
298 | JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_VERIFY_X4_FAILED); | ||
299 | return 0; | ||
300 | } | ||
301 | |||
302 | /* g^xd != 1 */ | ||
303 | if(BN_is_one(received->p2.gx)) | ||
304 | { | ||
305 | JPAKEerr(JPAKE_F_JPAKE_STEP1_PROCESS, JPAKE_R_G_TO_THE_X4_IS_ONE); | ||
306 | return 0; | ||
307 | } | ||
308 | |||
309 | /* Save the bits we need for later */ | ||
310 | BN_copy(ctx->p.gxc, received->p1.gx); | ||
311 | BN_copy(ctx->p.gxd, received->p2.gx); | ||
312 | |||
313 | return 1; | ||
314 | } | ||
315 | |||
316 | |||
317 | int JPAKE_STEP2_generate(JPAKE_STEP2 *send, JPAKE_CTX *ctx) | ||
318 | { | ||
319 | BIGNUM *t1 = BN_new(); | ||
320 | BIGNUM *t2 = BN_new(); | ||
321 | |||
322 | /* | ||
323 | * X = g^{(xa + xc + xd) * xb * s} | ||
324 | * t1 = g^xa | ||
325 | */ | ||
326 | BN_mod_exp(t1, ctx->p.g, ctx->xa, ctx->p.p, ctx->ctx); | ||
327 | /* t2 = t1 * g^{xc} = g^{xa} * g^{xc} = g^{xa + xc} */ | ||
328 | BN_mod_mul(t2, t1, ctx->p.gxc, ctx->p.p, ctx->ctx); | ||
329 | /* t1 = t2 * g^{xd} = g^{xa + xc + xd} */ | ||
330 | BN_mod_mul(t1, t2, ctx->p.gxd, ctx->p.p, ctx->ctx); | ||
331 | /* t2 = xb * s */ | ||
332 | BN_mod_mul(t2, ctx->xb, ctx->secret, ctx->p.q, ctx->ctx); | ||
333 | |||
334 | /* | ||
335 | * ZKP(xb * s) | ||
336 | * XXX: this is kinda funky, because we're using | ||
337 | * | ||
338 | * g' = g^{xa + xc + xd} | ||
339 | * | ||
340 | * as the generator, which means X is g'^{xb * s} | ||
341 | * X = t1^{t2} = t1^{xb * s} = g^{(xa + xc + xd) * xb * s} | ||
342 | */ | ||
343 | generate_step_part(send, t2, t1, ctx); | ||
344 | |||
345 | /* cleanup */ | ||
346 | BN_free(t1); | ||
347 | BN_free(t2); | ||
348 | |||
349 | return 1; | ||
350 | } | ||
351 | |||
352 | /* gx = g^{xc + xa + xb} * xd * s */ | ||
353 | static int compute_key(JPAKE_CTX *ctx, const BIGNUM *gx) | ||
354 | { | ||
355 | BIGNUM *t1 = BN_new(); | ||
356 | BIGNUM *t2 = BN_new(); | ||
357 | BIGNUM *t3 = BN_new(); | ||
358 | |||
359 | /* | ||
360 | * K = (gx/g^{xb * xd * s})^{xb} | ||
361 | * = (g^{(xc + xa + xb) * xd * s - xb * xd *s})^{xb} | ||
362 | * = (g^{(xa + xc) * xd * s})^{xb} | ||
363 | * = g^{(xa + xc) * xb * xd * s} | ||
364 | * [which is the same regardless of who calculates it] | ||
365 | */ | ||
366 | |||
367 | /* t1 = (g^{xd})^{xb} = g^{xb * xd} */ | ||
368 | BN_mod_exp(t1, ctx->p.gxd, ctx->xb, ctx->p.p, ctx->ctx); | ||
369 | /* t2 = -s = q-s */ | ||
370 | BN_sub(t2, ctx->p.q, ctx->secret); | ||
371 | /* t3 = t1^t2 = g^{-xb * xd * s} */ | ||
372 | BN_mod_exp(t3, t1, t2, ctx->p.p, ctx->ctx); | ||
373 | /* t1 = gx * t3 = X/g^{xb * xd * s} */ | ||
374 | BN_mod_mul(t1, gx, t3, ctx->p.p, ctx->ctx); | ||
375 | /* K = t1^{xb} */ | ||
376 | BN_mod_exp(ctx->key, t1, ctx->xb, ctx->p.p, ctx->ctx); | ||
377 | |||
378 | /* cleanup */ | ||
379 | BN_free(t3); | ||
380 | BN_free(t2); | ||
381 | BN_free(t1); | ||
382 | |||
383 | return 1; | ||
384 | } | ||
385 | |||
386 | int JPAKE_STEP2_process(JPAKE_CTX *ctx, const JPAKE_STEP2 *received) | ||
387 | { | ||
388 | BIGNUM *t1 = BN_new(); | ||
389 | BIGNUM *t2 = BN_new(); | ||
390 | int ret = 0; | ||
391 | |||
392 | /* | ||
393 | * g' = g^{xc + xa + xb} [from our POV] | ||
394 | * t1 = xa + xb | ||
395 | */ | ||
396 | BN_mod_add(t1, ctx->xa, ctx->xb, ctx->p.q, ctx->ctx); | ||
397 | /* t2 = g^{t1} = g^{xa+xb} */ | ||
398 | BN_mod_exp(t2, ctx->p.g, t1, ctx->p.p, ctx->ctx); | ||
399 | /* t1 = g^{xc} * t2 = g^{xc + xa + xb} */ | ||
400 | BN_mod_mul(t1, ctx->p.gxc, t2, ctx->p.p, ctx->ctx); | ||
401 | |||
402 | if(verify_zkp(received, t1, ctx)) | ||
403 | ret = 1; | ||
404 | else | ||
405 | JPAKEerr(JPAKE_F_JPAKE_STEP2_PROCESS, JPAKE_R_VERIFY_B_FAILED); | ||
406 | |||
407 | compute_key(ctx, received->gx); | ||
408 | |||
409 | /* cleanup */ | ||
410 | BN_free(t2); | ||
411 | BN_free(t1); | ||
412 | |||
413 | return ret; | ||
414 | } | ||
415 | |||
416 | static void quickhashbn(unsigned char *md, const BIGNUM *bn) | ||
417 | { | ||
418 | SHA_CTX sha; | ||
419 | |||
420 | SHA1_Init(&sha); | ||
421 | hashbn(&sha, bn); | ||
422 | SHA1_Final(md, &sha); | ||
423 | } | ||
424 | |||
425 | void JPAKE_STEP3A_init(JPAKE_STEP3A *s3a) | ||
426 | {} | ||
427 | |||
428 | int JPAKE_STEP3A_generate(JPAKE_STEP3A *send, JPAKE_CTX *ctx) | ||
429 | { | ||
430 | quickhashbn(send->hhk, ctx->key); | ||
431 | SHA1(send->hhk, sizeof send->hhk, send->hhk); | ||
432 | |||
433 | return 1; | ||
434 | } | ||
435 | |||
436 | int JPAKE_STEP3A_process(JPAKE_CTX *ctx, const JPAKE_STEP3A *received) | ||
437 | { | ||
438 | unsigned char hhk[SHA_DIGEST_LENGTH]; | ||
439 | |||
440 | quickhashbn(hhk, ctx->key); | ||
441 | SHA1(hhk, sizeof hhk, hhk); | ||
442 | if(memcmp(hhk, received->hhk, sizeof hhk)) | ||
443 | { | ||
444 | JPAKEerr(JPAKE_F_JPAKE_STEP3A_PROCESS, JPAKE_R_HASH_OF_HASH_OF_KEY_MISMATCH); | ||
445 | return 0; | ||
446 | } | ||
447 | return 1; | ||
448 | } | ||
449 | |||
450 | void JPAKE_STEP3A_release(JPAKE_STEP3A *s3a) | ||
451 | {} | ||
452 | |||
453 | void JPAKE_STEP3B_init(JPAKE_STEP3B *s3b) | ||
454 | {} | ||
455 | |||
456 | int JPAKE_STEP3B_generate(JPAKE_STEP3B *send, JPAKE_CTX *ctx) | ||
457 | { | ||
458 | quickhashbn(send->hk, ctx->key); | ||
459 | |||
460 | return 1; | ||
461 | } | ||
462 | |||
463 | int JPAKE_STEP3B_process(JPAKE_CTX *ctx, const JPAKE_STEP3B *received) | ||
464 | { | ||
465 | unsigned char hk[SHA_DIGEST_LENGTH]; | ||
466 | |||
467 | quickhashbn(hk, ctx->key); | ||
468 | if(memcmp(hk, received->hk, sizeof hk)) | ||
469 | { | ||
470 | JPAKEerr(JPAKE_F_JPAKE_STEP3B_PROCESS, JPAKE_R_HASH_OF_KEY_MISMATCH); | ||
471 | return 0; | ||
472 | } | ||
473 | return 1; | ||
474 | } | ||
475 | |||
476 | void JPAKE_STEP3B_release(JPAKE_STEP3B *s3b) | ||
477 | {} | ||
478 | |||
479 | const BIGNUM *JPAKE_get_shared_key(JPAKE_CTX *ctx) | ||
480 | { | ||
481 | return ctx->key; | ||
482 | } | ||
483 | |||