rsa_oaep.c revision 348343
10SN/A/* crypto/rsa/rsa_oaep.c */
22362SN/A/*
30SN/A * Written by Ulf Moeller. This software is distributed on an "AS IS" basis,
40SN/A * WITHOUT WARRANTY OF ANY KIND, either express or implied.
50SN/A */
60SN/A
72362SN/A/* EME-OAEP as defined in RFC 2437 (PKCS #1 v2.0) */
80SN/A
92362SN/A/*
100SN/A * See Victor Shoup, "OAEP reconsidered," Nov. 2000, <URL:
110SN/A * http://www.shoup.net/papers/oaep.ps.Z> for problems with the security
120SN/A * proof for the original OAEP scheme, which EME-OAEP is based on. A new
130SN/A * proof can be found in E. Fujisaki, T. Okamoto, D. Pointcheval, J. Stern,
140SN/A * "RSA-OEAP is Still Alive!", Dec. 2000, <URL:
150SN/A * http://eprint.iacr.org/2000/061/>. The new proof has stronger requirements
160SN/A * for the underlying permutation: "partial-one-wayness" instead of
170SN/A * one-wayness.  For the RSA function, this is an equivalent notion.
180SN/A */
190SN/A
200SN/A#include "constant_time_locl.h"
212362SN/A
222362SN/A#if !defined(OPENSSL_NO_SHA) && !defined(OPENSSL_NO_SHA1)
232362SN/A# include <stdio.h>
240SN/A# include "cryptlib.h"
250SN/A# include <openssl/bn.h>
260SN/A# include <openssl/rsa.h>
270SN/A# include <openssl/evp.h>
280SN/A# include <openssl/rand.h>
290SN/A# include <openssl/sha.h>
300SN/A
310SN/Aint RSA_padding_add_PKCS1_OAEP(unsigned char *to, int tlen,
320SN/A                               const unsigned char *from, int flen,
330SN/A                               const unsigned char *param, int plen)
340SN/A{
350SN/A    return RSA_padding_add_PKCS1_OAEP_mgf1(to, tlen, from, flen,
360SN/A                                           param, plen, NULL, NULL);
370SN/A}
380SN/A
390SN/Aint RSA_padding_add_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
400SN/A                                    const unsigned char *from, int flen,
410SN/A                                    const unsigned char *param, int plen,
420SN/A                                    const EVP_MD *md, const EVP_MD *mgf1md)
430SN/A{
440SN/A    int i, emlen = tlen - 1;
450SN/A    unsigned char *db, *seed;
460SN/A    unsigned char *dbmask, seedmask[EVP_MAX_MD_SIZE];
470SN/A    int mdlen;
480SN/A
490SN/A    if (md == NULL)
500SN/A        md = EVP_sha1();
510SN/A    if (mgf1md == NULL)
520SN/A        mgf1md = md;
530SN/A
540SN/A    mdlen = EVP_MD_size(md);
550SN/A
560SN/A    if (flen > emlen - 2 * mdlen - 1) {
570SN/A        RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
580SN/A               RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE);
590SN/A        return 0;
600SN/A    }
610SN/A
620SN/A    if (emlen < 2 * mdlen + 1) {
630SN/A        RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1,
640SN/A               RSA_R_KEY_SIZE_TOO_SMALL);
650SN/A        return 0;
660SN/A    }
670SN/A
680SN/A    to[0] = 0;
690SN/A    seed = to + 1;
700SN/A    db = to + mdlen + 1;
710SN/A
720SN/A    if (!EVP_Digest((void *)param, plen, db, NULL, md, NULL))
730SN/A        return 0;
740SN/A    memset(db + mdlen, 0, emlen - flen - 2 * mdlen - 1);
750SN/A    db[emlen - flen - mdlen - 1] = 0x01;
760SN/A    memcpy(db + emlen - flen - mdlen, from, (unsigned int)flen);
770SN/A    if (RAND_bytes(seed, mdlen) <= 0)
780SN/A        return 0;
790SN/A# ifdef PKCS_TESTVECT
800SN/A    memcpy(seed,
810SN/A           "\xaa\xfd\x12\xf6\x59\xca\xe6\x34\x89\xb4\x79\xe5\x07\x6d\xde\xc2\xf0\x6c\xb5\x8f",
820SN/A           20);
830SN/A# endif
840SN/A
8512489Savstepan    dbmask = OPENSSL_malloc(emlen - mdlen);
860SN/A    if (dbmask == NULL) {
870SN/A        RSAerr(RSA_F_RSA_PADDING_ADD_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
880SN/A        return 0;
890SN/A    }
900SN/A
910SN/A    if (PKCS1_MGF1(dbmask, emlen - mdlen, seed, mdlen, mgf1md) < 0)
920SN/A        goto err;
930SN/A    for (i = 0; i < emlen - mdlen; i++)
940SN/A        db[i] ^= dbmask[i];
950SN/A
960SN/A    if (PKCS1_MGF1(seedmask, mdlen, db, emlen - mdlen, mgf1md) < 0)
970SN/A        goto err;
980SN/A    for (i = 0; i < mdlen; i++)
990SN/A        seed[i] ^= seedmask[i];
1000SN/A
1010SN/A    OPENSSL_free(dbmask);
1020SN/A    return 1;
1030SN/A
1040SN/A err:
1050SN/A    OPENSSL_free(dbmask);
1060SN/A    return 0;
1070SN/A}
1080SN/A
1090SN/Aint RSA_padding_check_PKCS1_OAEP(unsigned char *to, int tlen,
1100SN/A                                 const unsigned char *from, int flen, int num,
1110SN/A                                 const unsigned char *param, int plen)
1120SN/A{
1130SN/A    return RSA_padding_check_PKCS1_OAEP_mgf1(to, tlen, from, flen, num,
1140SN/A                                             param, plen, NULL, NULL);
1150SN/A}
1160SN/A
1170SN/Aint RSA_padding_check_PKCS1_OAEP_mgf1(unsigned char *to, int tlen,
1180SN/A                                      const unsigned char *from, int flen,
1190SN/A                                      int num, const unsigned char *param,
1200SN/A                                      int plen, const EVP_MD *md,
1210SN/A                                      const EVP_MD *mgf1md)
1220SN/A{
1230SN/A    int i, dblen = 0, mlen = -1, one_index = 0, msg_index;
1240SN/A    unsigned int good = 0, found_one_byte, mask;
1250SN/A    const unsigned char *maskedseed, *maskeddb;
1260SN/A    /*
1270SN/A     * |em| is the encoded message, zero-padded to exactly |num| bytes: em =
1280SN/A     * Y || maskedSeed || maskedDB
1290SN/A     */
1300SN/A    unsigned char *db = NULL, *em = NULL, seed[EVP_MAX_MD_SIZE],
1310SN/A        phash[EVP_MAX_MD_SIZE];
1320SN/A    int mdlen;
1330SN/A
1340SN/A    if (md == NULL)
1350SN/A        md = EVP_sha1();
1360SN/A    if (mgf1md == NULL)
1370SN/A        mgf1md = md;
1380SN/A
1390SN/A    mdlen = EVP_MD_size(md);
1400SN/A
1410SN/A    if (tlen <= 0 || flen <= 0)
1420SN/A        return -1;
1430SN/A    /*
1440SN/A     * |num| is the length of the modulus; |flen| is the length of the
1450SN/A     * encoded message. Therefore, for any |from| that was obtained by
1460SN/A     * decrypting a ciphertext, we must have |flen| <= |num|. Similarly,
1470SN/A     * |num| >= 2 * |mdlen| + 2 must hold for the modulus irrespective of
1480SN/A     * the ciphertext, see PKCS #1 v2.2, section 7.1.2.
1490SN/A     * This does not leak any side-channel information.
1500SN/A     */
1510SN/A    if (num < flen || num < 2 * mdlen + 2) {
1520SN/A        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
1530SN/A               RSA_R_OAEP_DECODING_ERROR);
1540SN/A        return -1;
1550SN/A    }
1560SN/A
1570SN/A    dblen = num - mdlen - 1;
1580SN/A    db = OPENSSL_malloc(dblen);
1590SN/A    if (db == NULL) {
1600SN/A        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1, ERR_R_MALLOC_FAILURE);
1610SN/A        goto cleanup;
1620SN/A    }
1630SN/A
1640SN/A    em = OPENSSL_malloc(num);
1650SN/A    if (em == NULL) {
1660SN/A        RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
1670SN/A               ERR_R_MALLOC_FAILURE);
1680SN/A        goto cleanup;
1690SN/A    }
1700SN/A
1710SN/A    /*
1720SN/A     * Caller is encouraged to pass zero-padded message created with
1730SN/A     * BN_bn2binpad. Trouble is that since we can't read out of |from|'s
1740SN/A     * bounds, it's impossible to have an invariant memory access pattern
1750SN/A     * in case |from| was not zero-padded in advance.
1760SN/A     */
1770SN/A    for (from += flen, em += num, i = 0; i < num; i++) {
1780SN/A        mask = ~constant_time_is_zero(flen);
1790SN/A        flen -= 1 & mask;
1800SN/A        from -= 1 & mask;
1810SN/A        *--em = *from & mask;
1820SN/A    }
1830SN/A
1840SN/A    /*
1850SN/A     * The first byte must be zero, however we must not leak if this is
1860SN/A     * true. See James H. Manger, "A Chosen Ciphertext  Attack on RSA
1870SN/A     * Optimal Asymmetric Encryption Padding (OAEP) [...]", CRYPTO 2001).
1880SN/A     */
1890SN/A    good = constant_time_is_zero(em[0]);
1900SN/A
1910SN/A    maskedseed = em + 1;
1920SN/A    maskeddb = em + 1 + mdlen;
1930SN/A
1940SN/A    if (PKCS1_MGF1(seed, mdlen, maskeddb, dblen, mgf1md))
1950SN/A        goto cleanup;
1960SN/A    for (i = 0; i < mdlen; i++)
1970SN/A        seed[i] ^= maskedseed[i];
1980SN/A
1990SN/A    if (PKCS1_MGF1(db, dblen, seed, mdlen, mgf1md))
2000SN/A        goto cleanup;
2010SN/A    for (i = 0; i < dblen; i++)
2020SN/A        db[i] ^= maskeddb[i];
2030SN/A
2040SN/A    if (!EVP_Digest((void *)param, plen, phash, NULL, md, NULL))
2050SN/A        goto cleanup;
2060SN/A
2070SN/A    good &= constant_time_is_zero(CRYPTO_memcmp(db, phash, mdlen));
2080SN/A
2090SN/A    found_one_byte = 0;
2100SN/A    for (i = mdlen; i < dblen; i++) {
2110SN/A        /*
2120SN/A         * Padding consists of a number of 0-bytes, followed by a 1.
2130SN/A         */
2140SN/A        unsigned int equals1 = constant_time_eq(db[i], 1);
2150SN/A        unsigned int equals0 = constant_time_is_zero(db[i]);
2160SN/A        one_index = constant_time_select_int(~found_one_byte & equals1,
2170SN/A                                             i, one_index);
2180SN/A        found_one_byte |= equals1;
2190SN/A        good &= (found_one_byte | equals0);
2200SN/A    }
2210SN/A
2220SN/A    good &= found_one_byte;
2230SN/A
2240SN/A    /*
2250SN/A     * At this point |good| is zero unless the plaintext was valid,
2260SN/A     * so plaintext-awareness ensures timing side-channels are no longer a
2270SN/A     * concern.
2280SN/A     */
2290SN/A    msg_index = one_index + 1;
2300SN/A    mlen = dblen - msg_index;
2310SN/A
2320SN/A    /*
2330SN/A     * For good measure, do this check in constant time as well.
2340SN/A     */
2350SN/A    good &= constant_time_ge(tlen, mlen);
2360SN/A
2370SN/A    /*
2380SN/A     * Move the result in-place by |dblen|-|mdlen|-1-|mlen| bytes to the left.
2390SN/A     * Then if |good| move |mlen| bytes from |db|+|mdlen|+1 to |to|.
2400SN/A     * Otherwise leave |to| unchanged.
2410SN/A     * Copy the memory back in a way that does not reveal the size of
2420SN/A     * the data being copied via a timing side channel. This requires copying
2430SN/A     * parts of the buffer multiple times based on the bits set in the real
2440SN/A     * length. Clear bits do a non-copy with identical access pattern.
2450SN/A     * The loop below has overall complexity of O(N*log(N)).
2460SN/A     */
2470SN/A    tlen = constant_time_select_int(constant_time_lt(dblen - mdlen - 1, tlen),
2480SN/A                                    dblen - mdlen - 1, tlen);
2490SN/A    for (msg_index = 1; msg_index < dblen - mdlen - 1; msg_index <<= 1) {
2500SN/A        mask = ~constant_time_eq(msg_index & (dblen - mdlen - 1 - mlen), 0);
2510SN/A        for (i = mdlen + 1; i < dblen - msg_index; i++)
2520SN/A            db[i] = constant_time_select_8(mask, db[i + msg_index], db[i]);
2530SN/A    }
2540SN/A    for (i = 0; i < tlen; i++) {
2550SN/A        mask = good & constant_time_lt(i, mlen);
2560SN/A        to[i] = constant_time_select_8(mask, db[i + mdlen + 1], to[i]);
2570SN/A    }
2580SN/A
2590SN/A    /*
2600SN/A     * To avoid chosen ciphertext attacks, the error message should not
2610SN/A     * reveal which kind of decoding error happened.
2620SN/A     */
2630SN/A    RSAerr(RSA_F_RSA_PADDING_CHECK_PKCS1_OAEP_MGF1,
2640SN/A           RSA_R_OAEP_DECODING_ERROR);
2650SN/A    err_clear_last_constant_time(1 & good);
2660SN/A cleanup:
2670SN/A    OPENSSL_cleanse(seed, sizeof(seed));
2680SN/A    OPENSSL_cleanse(db, dblen);
2690SN/A    OPENSSL_free(db);
2700SN/A    OPENSSL_cleanse(em, num);
2710SN/A    OPENSSL_free(em);
2720SN/A
2730SN/A    return constant_time_select_int(good, mlen, -1);
2740SN/A}
2750SN/A
2760SN/Aint PKCS1_MGF1(unsigned char *mask, long len,
2770SN/A               const unsigned char *seed, long seedlen, const EVP_MD *dgst)
2780SN/A{
2790SN/A    long i, outlen = 0;
2800SN/A    unsigned char cnt[4];
2810SN/A    EVP_MD_CTX c;
2820SN/A    unsigned char md[EVP_MAX_MD_SIZE];
2830SN/A    int mdlen;
2840SN/A    int rv = -1;
2850SN/A
2860SN/A    EVP_MD_CTX_init(&c);
2870SN/A    mdlen = EVP_MD_size(dgst);
2880SN/A    if (mdlen < 0)
2890SN/A        goto err;
2900SN/A    for (i = 0; outlen < len; i++) {
2910SN/A        cnt[0] = (unsigned char)((i >> 24) & 255);
2920SN/A        cnt[1] = (unsigned char)((i >> 16) & 255);
2930SN/A        cnt[2] = (unsigned char)((i >> 8)) & 255;
2940SN/A        cnt[3] = (unsigned char)(i & 255);
2950SN/A        if (!EVP_DigestInit_ex(&c, dgst, NULL)
2960SN/A            || !EVP_DigestUpdate(&c, seed, seedlen)
2970SN/A            || !EVP_DigestUpdate(&c, cnt, 4))
2980SN/A            goto err;
2990SN/A        if (outlen + mdlen <= len) {
3000SN/A            if (!EVP_DigestFinal_ex(&c, mask + outlen, NULL))
3010SN/A                goto err;
3020SN/A            outlen += mdlen;
3030SN/A        } else {
3040SN/A            if (!EVP_DigestFinal_ex(&c, md, NULL))
3050SN/A                goto err;
3060SN/A            memcpy(mask + outlen, md, len - outlen);
3070SN/A            outlen = len;
3080SN/A        }
3090SN/A    }
3100SN/A    rv = 0;
3110SN/A err:
3120SN/A    EVP_MD_CTX_cleanup(&c);
3130SN/A    return rv;
3140SN/A}
3150SN/A
3160SN/A#endif
3170SN/A