rsa_oaep.c 10 KB

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  1. /*
  2. * Copyright 1999-2019 The OpenSSL Project Authors. All Rights Reserved.
  3. *
  4. * Licensed under the OpenSSL license (the "License"). You may not use
  5. * this file except in compliance with the License. You can obtain a copy
  6. * in the file LICENSE in the source distribution or at
  7. * https://www.openssl.org/source/license.html
  8. */
  9. /* EME-OAEP as defined in RFC 2437 (PKCS #1 v2.0) */
  10. /*
  11. * See Victor Shoup, "OAEP reconsidered," Nov. 2000, <URL:
  12. * http://www.shoup.net/papers/oaep.ps.Z> for problems with the security
  13. * proof for the original OAEP scheme, which EME-OAEP is based on. A new
  14. * proof can be found in E. Fujisaki, T. Okamoto, D. Pointcheval, J. Stern,
  15. * "RSA-OEAP is Still Alive!", Dec. 2000, <URL:
  16. * http://eprint.iacr.org/2000/061/>. The new proof has stronger requirements
  17. * for the underlying permutation: "partial-one-wayness" instead of
  18. * one-wayness. For the RSA function, this is an equivalent notion.
  19. */
  20. #include "internal/constant_time.h"
  21. #include <stdio.h>
  22. #include "internal/cryptlib.h"
  23. #include <openssl/bn.h>
  24. #include <openssl/evp.h>
  25. #include <openssl/rand.h>
  26. #include <openssl/sha.h>
  27. #include "rsa_local.h"
  28. int RSA_padding_add_PKCS1_OAEP(unsigned char *to, int tlen,
  29. const unsigned char *from, int flen,
  30. const unsigned char *param, int plen)
  31. {
  32. return RSA_padding_add_PKCS1_OAEP_mgf1(to, tlen, from, flen,
  33. param, plen, NULL, NULL);
  34. }
  35. int RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
  36. const unsigned char *from, int flen,
  37. const unsigned char *param, int plen,
  38. const EVP_MD *md, const EVP_MD *mgf1md)
  39. {
  40. int rv = 0;
  41. int i, emlen = tlen - 1;
  42. unsigned char *db, *seed;
  43. unsigned char *dbmask = NULL;
  44. unsigned char seedmask[EVP_MAX_MD_SIZE];
  45. int mdlen, dbmask_len = 0;
  46. if (md == NULL)
  47. md = EVP_sha1();
  48. if (mgf1md == NULL)
  49. mgf1md = md;
  50. mdlen = EVP_MD_size(md);
  51. if (flen > emlen - 2 * mdlen - 1) {
  52. RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
  53. RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
  54. return 0;
  55. }
  56. if (emlen < 2 * mdlen + 1) {
  57. RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
  58. RSA_R_KEY_SIZE_TOO_SMALL);
  59. return 0;
  60. }
  61. to[0] = 0;
  62. seed = to + 1;
  63. db = to + mdlen + 1;
  64. if (!EVP_Digest((void *)param, plen, db, NULL, md, NULL))
  65. goto err;
  66. memset(db + mdlen, 0, emlen - flen - 2 * mdlen - 1);
  67. db[emlen - flen - mdlen - 1] = 0x01;
  68. memcpy(db + emlen - flen - mdlen, from, (unsigned int)flen);
  69. if (RAND_bytes(seed, mdlen) <= 0)
  70. goto err;
  71. dbmask_len = emlen - mdlen;
  72. dbmask = OPENSSL_malloc(dbmask_len);
  73. if (dbmask == NULL) {
  74. RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
  75. goto err;
  76. }
  77. if (PKCS1_MGF1(dbmask, dbmask_len, seed, mdlen, mgf1md) < 0)
  78. goto err;
  79. for (i = 0; i < dbmask_len; i++)
  80. db[i] ^= dbmask[i];
  81. if (PKCS1_MGF1(seedmask, mdlen, db, dbmask_len, mgf1md) < 0)
  82. goto err;
  83. for (i = 0; i < mdlen; i++)
  84. seed[i] ^= seedmask[i];
  85. rv = 1;
  86. err:
  87. OPENSSL_cleanse(seedmask, sizeof(seedmask));
  88. OPENSSL_clear_free(dbmask, dbmask_len);
  89. return rv;
  90. }
  91. int RSA_padding_check_PKCS1_OAEP(unsigned char *to, int tlen,
  92. const unsigned char *from, int flen, int num,
  93. const unsigned char *param, int plen)
  94. {
  95. return RSA_padding_check_PKCS1_OAEP_mgf1(to, tlen, from, flen, num,
  96. param, plen, NULL, NULL);
  97. }
  98. int RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
  99. const unsigned char *from, int flen,
  100. int num, const unsigned char *param,
  101. int plen, const EVP_MD *md,
  102. const EVP_MD *mgf1md)
  103. {
  104. int i, dblen = 0, mlen = -1, one_index = 0, msg_index;
  105. unsigned int good = 0, found_one_byte, mask;
  106. const unsigned char *maskedseed, *maskeddb;
  107. /*
  108. * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
  109. * Y || maskedSeed || maskedDB
  110. */
  111. unsigned char *db = NULL, *em = NULL, seed[EVP_MAX_MD_SIZE],
  112. phash[EVP_MAX_MD_SIZE];
  113. int mdlen;
  114. if (md == NULL)
  115. md = EVP_sha1();
  116. if (mgf1md == NULL)
  117. mgf1md = md;
  118. mdlen = EVP_MD_size(md);
  119. if (tlen <= 0 || flen <= 0)
  120. return -1;
  121. /*
  122. * |num| is the length of the modulus; |flen| is the length of the
  123. * encoded message. Therefore, for any |from| that was obtained by
  124. * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
  125. * |num| >= 2 * |mdlen| + 2 must hold for the modulus irrespective of
  126. * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
  127. * This does not leak any side-channel information.
  128. */
  129. if (num < flen || num < 2 * mdlen + 2) {
  130. RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
  131. RSA_R_OAEP_DECODING_ERROR);
  132. return -1;
  133. }
  134. dblen = num - mdlen - 1;
  135. db = OPENSSL_malloc(dblen);
  136. if (db == NULL) {
  137. RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
  138. goto cleanup;
  139. }
  140. em = OPENSSL_malloc(num);
  141. if (em == NULL) {
  142. RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
  143. ERR_R_MALLOC_FAILURE);
  144. goto cleanup;
  145. }
  146. /*
  147. * Caller is encouraged to pass zero-padded message created with
  148. * BN_bn2binpad. Trouble is that since we can't read out of |from|'s
  149. * bounds, it's impossible to have an invariant memory access pattern
  150. * in case |from| was not zero-padded in advance.
  151. */
  152. for (from += flen, em += num, i = 0; i < num; i++) {
  153. mask = ~constant_time_is_zero(flen);
  154. flen -= 1 & mask;
  155. from -= 1 & mask;
  156. *--em = *from & mask;
  157. }
  158. /*
  159. * The first byte must be zero, however we must not leak if this is
  160. * true. See James H. Manger, "A Chosen Ciphertext Attack on RSA
  161. * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
  162. */
  163. good = constant_time_is_zero(em[0]);
  164. maskedseed = em + 1;
  165. maskeddb = em + 1 + mdlen;
  166. if (PKCS1_MGF1(seed, mdlen, maskeddb, dblen, mgf1md))
  167. goto cleanup;
  168. for (i = 0; i < mdlen; i++)
  169. seed[i] ^= maskedseed[i];
  170. if (PKCS1_MGF1(db, dblen, seed, mdlen, mgf1md))
  171. goto cleanup;
  172. for (i = 0; i < dblen; i++)
  173. db[i] ^= maskeddb[i];
  174. if (!EVP_Digest((void *)param, plen, phash, NULL, md, NULL))
  175. goto cleanup;
  176. good &= constant_time_is_zero(CRYPTO_memcmp(db, phash, mdlen));
  177. found_one_byte = 0;
  178. for (i = mdlen; i < dblen; i++) {
  179. /*
  180. * Padding consists of a number of 0-bytes, followed by a 1.
  181. */
  182. unsigned int equals1 = constant_time_eq(db[i], 1);
  183. unsigned int equals0 = constant_time_is_zero(db[i]);
  184. one_index = constant_time_select_int(~found_one_byte & equals1,
  185. i, one_index);
  186. found_one_byte |= equals1;
  187. good &= (found_one_byte | equals0);
  188. }
  189. good &= found_one_byte;
  190. /*
  191. * At this point |good| is zero unless the plaintext was valid,
  192. * so plaintext-awareness ensures timing side-channels are no longer a
  193. * concern.
  194. */
  195. msg_index = one_index + 1;
  196. mlen = dblen - msg_index;
  197. /*
  198. * For good measure, do this check in constant time as well.
  199. */
  200. good &= constant_time_ge(tlen, mlen);
  201. /*
  202. * Move the result in-place by |dblen|-|mdlen|-1-|mlen| bytes to the left.
  203. * Then if |good| move |mlen| bytes from |db|+|mdlen|+1 to |to|.
  204. * Otherwise leave |to| unchanged.
  205. * Copy the memory back in a way that does not reveal the size of
  206. * the data being copied via a timing side channel. This requires copying
  207. * parts of the buffer multiple times based on the bits set in the real
  208. * length. Clear bits do a non-copy with identical access pattern.
  209. * The loop below has overall complexity of O(N*log(N)).
  210. */
  211. tlen = constant_time_select_int(constant_time_lt(dblen - mdlen - 1, tlen),
  212. dblen - mdlen - 1, tlen);
  213. for (msg_index = 1; msg_index < dblen - mdlen - 1; msg_index <<= 1) {
  214. mask = ~constant_time_eq(msg_index & (dblen - mdlen - 1 - mlen), 0);
  215. for (i = mdlen + 1; i < dblen - msg_index; i++)
  216. db[i] = constant_time_select_8(mask, db[i + msg_index], db[i]);
  217. }
  218. for (i = 0; i < tlen; i++) {
  219. mask = good & constant_time_lt(i, mlen);
  220. to[i] = constant_time_select_8(mask, db[i + mdlen + 1], to[i]);
  221. }
  222. /*
  223. * To avoid chosen ciphertext attacks, the error message should not
  224. * reveal which kind of decoding error happened.
  225. */
  226. RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
  227. RSA_R_OAEP_DECODING_ERROR);
  228. err_clear_last_constant_time(1 & good);
  229. cleanup:
  230. OPENSSL_cleanse(seed, sizeof(seed));
  231. OPENSSL_clear_free(db, dblen);
  232. OPENSSL_clear_free(em, num);
  233. return constant_time_select_int(good, mlen, -1);
  234. }
  235. int PKCS1_MGF1(unsigned char *mask, long len,
  236. const unsigned char *seed, long seedlen, const EVP_MD *dgst)
  237. {
  238. long i, outlen = 0;
  239. unsigned char cnt[4];
  240. EVP_MD_CTX *c = EVP_MD_CTX_new();
  241. unsigned char md[EVP_MAX_MD_SIZE];
  242. int mdlen;
  243. int rv = -1;
  244. if (c == NULL)
  245. goto err;
  246. mdlen = EVP_MD_size(dgst);
  247. if (mdlen < 0)
  248. goto err;
  249. for (i = 0; outlen < len; i++) {
  250. cnt[0] = (unsigned char)((i >> 24) & 255);
  251. cnt[1] = (unsigned char)((i >> 16) & 255);
  252. cnt[2] = (unsigned char)((i >> 8)) & 255;
  253. cnt[3] = (unsigned char)(i & 255);
  254. if (!EVP_DigestInit_ex(c, dgst, NULL)
  255. || !EVP_DigestUpdate(c, seed, seedlen)
  256. || !EVP_DigestUpdate(c, cnt, 4))
  257. goto err;
  258. if (outlen + mdlen <= len) {
  259. if (!EVP_DigestFinal_ex(c, mask + outlen, NULL))
  260. goto err;
  261. outlen += mdlen;
  262. } else {
  263. if (!EVP_DigestFinal_ex(c, md, NULL))
  264. goto err;
  265. memcpy(mask + outlen, md, len - outlen);
  266. outlen = len;
  267. }
  268. }
  269. rv = 0;
  270. err:
  271. OPENSSL_cleanse(md, sizeof(md));
  272. EVP_MD_CTX_free(c);
  273. return rv;
  274. }