diff options
Diffstat (limited to 'src/crypto/rsa')
-rw-r--r-- | src/crypto/rsa/CMakeLists.txt | 4 | ||||
-rw-r--r-- | src/crypto/rsa/blinding.c | 24 | ||||
-rw-r--r-- | src/crypto/rsa/internal.h | 34 | ||||
-rw-r--r-- | src/crypto/rsa/padding.c | 110 | ||||
-rw-r--r-- | src/crypto/rsa/rsa.c | 143 | ||||
-rw-r--r-- | src/crypto/rsa/rsa_asn1.c | 421 | ||||
-rw-r--r-- | src/crypto/rsa/rsa_impl.c | 311 | ||||
-rw-r--r-- | src/crypto/rsa/rsa_test.c | 511 | ||||
-rw-r--r-- | src/crypto/rsa/rsa_test.cc | 869 |
9 files changed, 1667 insertions, 760 deletions
diff --git a/src/crypto/rsa/CMakeLists.txt b/src/crypto/rsa/CMakeLists.txt index 0ea12c8..bd8ad3b 100644 --- a/src/crypto/rsa/CMakeLists.txt +++ b/src/crypto/rsa/CMakeLists.txt @@ -1,4 +1,4 @@ -include_directories(. .. ../../include) +include_directories(../../include) add_library( rsa @@ -15,7 +15,7 @@ add_library( add_executable( rsa_test - rsa_test.c + rsa_test.cc $<TARGET_OBJECTS:test_support> ) diff --git a/src/crypto/rsa/blinding.c b/src/crypto/rsa/blinding.c index 245142b..c93cee1 100644 --- a/src/crypto/rsa/blinding.c +++ b/src/crypto/rsa/blinding.c @@ -137,7 +137,7 @@ BN_BLINDING *BN_BLINDING_new(const BIGNUM *A, const BIGNUM *Ai, BIGNUM *mod) { ret = (BN_BLINDING*) OPENSSL_malloc(sizeof(BN_BLINDING)); if (ret == NULL) { - OPENSSL_PUT_ERROR(RSA, BN_BLINDING_new, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return NULL; } memset(ret, 0, sizeof(BN_BLINDING)); @@ -190,7 +190,7 @@ int BN_BLINDING_update(BN_BLINDING *b, BN_CTX *ctx) { int ret = 0; if (b->A == NULL || b->Ai == NULL) { - OPENSSL_PUT_ERROR(RSA, BN_BLINDING_update, RSA_R_BN_NOT_INITIALIZED); + OPENSSL_PUT_ERROR(RSA, RSA_R_BN_NOT_INITIALIZED); goto err; } @@ -230,7 +230,7 @@ int BN_BLINDING_convert_ex(BIGNUM *n, BIGNUM *r, BN_BLINDING *b, BN_CTX *ctx) { int ret = 1; if (b->A == NULL || b->Ai == NULL) { - OPENSSL_PUT_ERROR(RSA, BN_BLINDING_convert_ex, RSA_R_BN_NOT_INITIALIZED); + OPENSSL_PUT_ERROR(RSA, RSA_R_BN_NOT_INITIALIZED); return 0; } @@ -266,7 +266,7 @@ int BN_BLINDING_invert_ex(BIGNUM *n, const BIGNUM *r, BN_BLINDING *b, ret = BN_mod_mul(n, n, r, b->mod, ctx); } else { if (b->Ai == NULL) { - OPENSSL_PUT_ERROR(RSA, BN_BLINDING_invert_ex, RSA_R_BN_NOT_INITIALIZED); + OPENSSL_PUT_ERROR(RSA, RSA_R_BN_NOT_INITIALIZED); return 0; } ret = BN_mod_mul(n, n, b->Ai, b->mod, ctx); @@ -325,13 +325,13 @@ BN_BLINDING *BN_BLINDING_create_param( if (!BN_rand_range(ret->A, ret->mod)) { goto err; } - if (BN_mod_inverse(ret->Ai, ret->A, ret->mod, ctx) == NULL) { + + int no_inverse; + if (BN_mod_inverse_ex(ret->Ai, &no_inverse, ret->A, ret->mod, ctx) == NULL) { /* this should almost never happen for good RSA keys */ - uint32_t error = ERR_peek_last_error(); - if (ERR_GET_REASON(error) == BN_R_NO_INVERSE) { + if (no_inverse) { if (retry_counter-- == 0) { - OPENSSL_PUT_ERROR(RSA, BN_BLINDING_create_param, - RSA_R_TOO_MANY_ITERATIONS); + OPENSSL_PUT_ERROR(RSA, RSA_R_TOO_MANY_ITERATIONS); goto err; } ERR_clear_error(); @@ -416,14 +416,14 @@ BN_BLINDING *rsa_setup_blinding(RSA *rsa, BN_CTX *in_ctx) { BN_CTX_start(ctx); e = BN_CTX_get(ctx); if (e == NULL) { - OPENSSL_PUT_ERROR(RSA, rsa_setup_blinding, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } if (rsa->e == NULL) { e = rsa_get_public_exp(rsa->d, rsa->p, rsa->q, ctx); if (e == NULL) { - OPENSSL_PUT_ERROR(RSA, rsa_setup_blinding, RSA_R_NO_PUBLIC_EXPONENT); + OPENSSL_PUT_ERROR(RSA, RSA_R_NO_PUBLIC_EXPONENT); goto err; } } else { @@ -444,7 +444,7 @@ BN_BLINDING *rsa_setup_blinding(RSA *rsa, BN_CTX *in_ctx) { ret = BN_BLINDING_create_param(NULL, e, n, ctx, rsa->meth->bn_mod_exp, mont_ctx); if (ret == NULL) { - OPENSSL_PUT_ERROR(RSA, rsa_setup_blinding, ERR_R_BN_LIB); + OPENSSL_PUT_ERROR(RSA, ERR_R_BN_LIB); goto err; } diff --git a/src/crypto/rsa/internal.h b/src/crypto/rsa/internal.h index d15f2a5..c0044c3 100644 --- a/src/crypto/rsa/internal.h +++ b/src/crypto/rsa/internal.h @@ -59,8 +59,6 @@ #include <openssl/base.h> -#include <openssl/asn1.h> - #if defined(__cplusplus) extern "C" { @@ -109,8 +107,6 @@ int RSA_padding_check_PKCS1_OAEP_mgf1(uint8_t *to, unsigned to_len, const EVP_MD *md, const EVP_MD *mgf1md); int RSA_padding_add_none(uint8_t *to, unsigned to_len, const uint8_t *from, unsigned from_len); -int RSA_padding_check_none(uint8_t *to, unsigned to_len, const uint8_t *from, - unsigned from_len); /* RSA_private_transform calls either the method-specific |private_transform| * function (if given) or the generic one. See the comment for @@ -118,20 +114,26 @@ int RSA_padding_check_none(uint8_t *to, unsigned to_len, const uint8_t *from, int RSA_private_transform(RSA *rsa, uint8_t *out, const uint8_t *in, size_t len); -typedef struct rsa_pss_params_st { - X509_ALGOR *hashAlgorithm; - X509_ALGOR *maskGenAlgorithm; - ASN1_INTEGER *saltLength; - ASN1_INTEGER *trailerField; -} RSA_PSS_PARAMS; -DECLARE_ASN1_FUNCTIONS(RSA_PSS_PARAMS) +/* RSA_additional_prime contains information about the third, forth etc prime + * in a multi-prime RSA key. */ +typedef struct RSA_additional_prime_st { + BIGNUM *prime; + /* exp is d^{prime-1} mod prime */ + BIGNUM *exp; + /* coeff is such that r×coeff ≡ 1 mod prime. */ + BIGNUM *coeff; + + /* Values below here are not in the ASN.1 serialisation. */ + + /* r is the product of all primes (including p and q) prior to this one. */ + BIGNUM *r; + /* method_mod is managed by the |RSA_METHOD|. */ + BN_MONT_CTX *method_mod; +} RSA_additional_prime; + +void RSA_additional_prime_free(RSA_additional_prime *ap); -typedef struct rsa_oaep_params_st { - X509_ALGOR *hashFunc; - X509_ALGOR *maskGenFunc; - X509_ALGOR *pSourceFunc; -} RSA_OAEP_PARAMS; #if defined(__cplusplus) } /* extern C */ diff --git a/src/crypto/rsa/padding.c b/src/crypto/rsa/padding.c index 0a725f1..5a42e24 100644 --- a/src/crypto/rsa/padding.c +++ b/src/crypto/rsa/padding.c @@ -74,14 +74,12 @@ int RSA_padding_add_PKCS1_type_1(uint8_t *to, unsigned tlen, uint8_t *p; if (tlen < RSA_PKCS1_PADDING_SIZE) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_type_1, - RSA_R_KEY_SIZE_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_KEY_SIZE_TOO_SMALL); return 0; } if (flen > tlen - RSA_PKCS1_PADDING_SIZE) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_type_1, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); return 0; } @@ -105,15 +103,13 @@ int RSA_padding_check_PKCS1_type_1(uint8_t *to, unsigned tlen, const uint8_t *p; if (flen < 2) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_DATA_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_SMALL); return -1; } p = from; if ((*(p++) != 0) || (*(p++) != 1)) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_BLOCK_TYPE_IS_NOT_01); + OPENSSL_PUT_ERROR(RSA, RSA_R_BLOCK_TYPE_IS_NOT_01); return -1; } @@ -126,8 +122,7 @@ int RSA_padding_check_PKCS1_type_1(uint8_t *to, unsigned tlen, p++; break; } else { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_BAD_FIXED_HEADER_DECRYPT); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_FIXED_HEADER_DECRYPT); return -1; } } @@ -135,21 +130,18 @@ int RSA_padding_check_PKCS1_type_1(uint8_t *to, unsigned tlen, } if (i == j) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_NULL_BEFORE_BLOCK_MISSING); + OPENSSL_PUT_ERROR(RSA, RSA_R_NULL_BEFORE_BLOCK_MISSING); return -1; } if (i < 8) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_BAD_PAD_BYTE_COUNT); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_PAD_BYTE_COUNT); return -1; } i++; /* Skip over the '\0' */ j -= i; if (j > tlen) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_1, - RSA_R_DATA_TOO_LARGE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE); return -1; } memcpy(to, p, j); @@ -163,14 +155,12 @@ int RSA_padding_add_PKCS1_type_2(uint8_t *to, unsigned tlen, uint8_t *p; if (tlen < RSA_PKCS1_PADDING_SIZE) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_type_2, - RSA_R_KEY_SIZE_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_KEY_SIZE_TOO_SMALL); return 0; } if (flen > tlen - RSA_PKCS1_PADDING_SIZE) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_type_2, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); return 0; } @@ -271,8 +261,7 @@ int RSA_padding_check_PKCS1_type_2(uint8_t *to, unsigned tlen, size_t msg_index, msg_len; if (flen == 0) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_2, - RSA_R_EMPTY_PUBLIC_KEY); + OPENSSL_PUT_ERROR(RSA, RSA_R_EMPTY_PUBLIC_KEY); return -1; } @@ -281,8 +270,7 @@ int RSA_padding_check_PKCS1_type_2(uint8_t *to, unsigned tlen, * |RSA_PKCS1_PADDING| make it impossible to completely avoid Bleichenbacher's * attack. */ if (!RSA_message_index_PKCS1_type_2(from, flen, &msg_index)) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_2, - RSA_R_PKCS_DECODING_ERROR); + OPENSSL_PUT_ERROR(RSA, RSA_R_PKCS_DECODING_ERROR); return -1; } @@ -290,8 +278,7 @@ int RSA_padding_check_PKCS1_type_2(uint8_t *to, unsigned tlen, if (msg_len > tlen) { /* This shouldn't happen because this function is always called with |tlen| * the key size and |flen| is bounded by the key size. */ - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_type_2, - RSA_R_PKCS_DECODING_ERROR); + OPENSSL_PUT_ERROR(RSA, RSA_R_PKCS_DECODING_ERROR); return -1; } memcpy(to, &from[msg_index], msg_len); @@ -300,14 +287,12 @@ int RSA_padding_check_PKCS1_type_2(uint8_t *to, unsigned tlen, int RSA_padding_add_none(uint8_t *to, unsigned tlen, const uint8_t *from, unsigned flen) { if (flen > tlen) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_none, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); return 0; } if (flen < tlen) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_none, - RSA_R_DATA_TOO_SMALL_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_SMALL_FOR_KEY_SIZE); return 0; } @@ -315,17 +300,6 @@ int RSA_padding_add_none(uint8_t *to, unsigned tlen, const uint8_t *from, unsign return 1; } -int RSA_padding_check_none(uint8_t *to, unsigned tlen, const uint8_t *from, - unsigned flen) { - if (flen > tlen) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_none, RSA_R_DATA_TOO_LARGE); - return -1; - } - - memcpy(to, from, flen); - return flen; -} - int PKCS1_MGF1(uint8_t *mask, unsigned len, const uint8_t *seed, unsigned seedlen, const EVP_MD *dgst) { unsigned outlen = 0; @@ -388,21 +362,18 @@ int RSA_padding_add_PKCS1_OAEP_mgf1(uint8_t *to, unsigned tlen, mdlen = EVP_MD_size(md); if (tlen < 2 * mdlen + 2) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_OAEP_mgf1, - RSA_R_KEY_SIZE_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_KEY_SIZE_TOO_SMALL); return 0; } emlen = tlen - 1; if (flen > emlen - 2 * mdlen - 1) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_OAEP_mgf1, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); return 0; } if (emlen < 2 * mdlen + 1) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_OAEP_mgf1, - RSA_R_KEY_SIZE_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_KEY_SIZE_TOO_SMALL); return 0; } @@ -422,8 +393,7 @@ int RSA_padding_add_PKCS1_OAEP_mgf1(uint8_t *to, unsigned tlen, dbmask = OPENSSL_malloc(emlen - mdlen); if (dbmask == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_OAEP_mgf1, - ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return 0; } @@ -477,8 +447,7 @@ int RSA_padding_check_PKCS1_OAEP_mgf1(uint8_t *to, unsigned tlen, dblen = flen - mdlen - 1; db = OPENSSL_malloc(dblen); if (db == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_OAEP_mgf1, - ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -526,8 +495,7 @@ int RSA_padding_check_PKCS1_OAEP_mgf1(uint8_t *to, unsigned tlen, one_index++; mlen = dblen - one_index; if (tlen < mlen) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_OAEP_mgf1, - RSA_R_DATA_TOO_LARGE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE); mlen = -1; } else { memcpy(to, db + one_index, mlen); @@ -539,8 +507,7 @@ int RSA_padding_check_PKCS1_OAEP_mgf1(uint8_t *to, unsigned tlen, decoding_err: /* to avoid chosen ciphertext attacks, the error message should not reveal * which kind of decoding error happened */ - OPENSSL_PUT_ERROR(RSA, RSA_padding_check_PKCS1_OAEP_mgf1, - RSA_R_OAEP_DECODING_ERROR); + OPENSSL_PUT_ERROR(RSA, RSA_R_OAEP_DECODING_ERROR); err: OPENSSL_free(db); return -1; @@ -576,15 +543,14 @@ int RSA_verify_PKCS1_PSS_mgf1(RSA *rsa, const uint8_t *mHash, } else if (sLen == -2) { sLen = -2; } else if (sLen < -2) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, RSA_R_SLEN_CHECK_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_SLEN_CHECK_FAILED); goto err; } MSBits = (BN_num_bits(rsa->n) - 1) & 0x7; emLen = RSA_size(rsa); if (EM[0] & (0xFF << MSBits)) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, - RSA_R_FIRST_OCTET_INVALID); + OPENSSL_PUT_ERROR(RSA, RSA_R_FIRST_OCTET_INVALID); goto err; } if (MSBits == 0) { @@ -593,18 +559,18 @@ int RSA_verify_PKCS1_PSS_mgf1(RSA *rsa, const uint8_t *mHash, } if (emLen < ((int)hLen + sLen + 2)) { /* sLen can be small negative */ - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, RSA_R_DATA_TOO_LARGE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE); goto err; } if (EM[emLen - 1] != 0xbc) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, RSA_R_LAST_OCTET_INVALID); + OPENSSL_PUT_ERROR(RSA, RSA_R_LAST_OCTET_INVALID); goto err; } maskedDBLen = emLen - hLen - 1; H = EM + maskedDBLen; DB = OPENSSL_malloc(maskedDBLen); if (!DB) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } if (PKCS1_MGF1(DB, maskedDBLen, H, hLen, mgf1Hash) < 0) { @@ -620,12 +586,11 @@ int RSA_verify_PKCS1_PSS_mgf1(RSA *rsa, const uint8_t *mHash, ; } if (DB[i++] != 0x1) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, - RSA_R_SLEN_RECOVERY_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_SLEN_RECOVERY_FAILED); goto err; } if (sLen >= 0 && (maskedDBLen - i) != sLen) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, RSA_R_SLEN_CHECK_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_SLEN_CHECK_FAILED); goto err; } if (!EVP_DigestInit_ex(&ctx, Hash, NULL) || @@ -642,7 +607,7 @@ int RSA_verify_PKCS1_PSS_mgf1(RSA *rsa, const uint8_t *mHash, goto err; } if (memcmp(H_, H, hLen)) { - OPENSSL_PUT_ERROR(RSA, RSA_verify_PKCS1_PSS_mgf1, RSA_R_BAD_SIGNATURE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_SIGNATURE); ret = 0; } else { ret = 1; @@ -681,14 +646,12 @@ int RSA_padding_add_PKCS1_PSS_mgf1(RSA *rsa, unsigned char *EM, } else if (sLen == -2) { sLen = -2; } else if (sLen < -2) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_PSS_mgf1, - RSA_R_SLEN_CHECK_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_SLEN_CHECK_FAILED); goto err; } if (BN_is_zero(rsa->n)) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_PSS_mgf1, - RSA_R_EMPTY_PUBLIC_KEY); + OPENSSL_PUT_ERROR(RSA, RSA_R_EMPTY_PUBLIC_KEY); goto err; } @@ -701,21 +664,18 @@ int RSA_padding_add_PKCS1_PSS_mgf1(RSA *rsa, unsigned char *EM, } if (sLen == -2) { if (emLen < hLen + 2) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_PSS_mgf1, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); goto err; } sLen = emLen - hLen - 2; } else if (emLen < hLen + sLen + 2) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_PSS_mgf1, - RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_KEY_SIZE); goto err; } if (sLen > 0) { salt = OPENSSL_malloc(sLen); if (!salt) { - OPENSSL_PUT_ERROR(RSA, RSA_padding_add_PKCS1_PSS_mgf1, - ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } if (!RAND_bytes(salt, sLen)) { diff --git a/src/crypto/rsa/rsa.c b/src/crypto/rsa/rsa.c index 17059b0..2f23165 100644 --- a/src/crypto/rsa/rsa.c +++ b/src/crypto/rsa/rsa.c @@ -79,7 +79,7 @@ RSA *RSA_new(void) { return RSA_new_method(NULL); } RSA *RSA_new_method(const ENGINE *engine) { RSA *rsa = (RSA *)OPENSSL_malloc(sizeof(RSA)); if (rsa == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_new_method, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return NULL; } @@ -114,6 +114,18 @@ RSA *RSA_new_method(const ENGINE *engine) { return rsa; } +void RSA_additional_prime_free(RSA_additional_prime *ap) { + if (ap == NULL) { + return; + } + + BN_clear_free(ap->prime); + BN_clear_free(ap->exp); + BN_clear_free(ap->coeff); + BN_clear_free(ap->r); + OPENSSL_free(ap); +} + void RSA_free(RSA *rsa) { unsigned u; @@ -145,6 +157,10 @@ void RSA_free(RSA *rsa) { } OPENSSL_free(rsa->blindings); OPENSSL_free(rsa->blindings_inuse); + if (rsa->additional_primes != NULL) { + sk_RSA_additional_prime_pop_free(rsa->additional_primes, + RSA_additional_prime_free); + } CRYPTO_MUTEX_cleanup(&rsa->lock); OPENSSL_free(rsa); } @@ -162,6 +178,16 @@ int RSA_generate_key_ex(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { return RSA_default_method.keygen(rsa, bits, e_value, cb); } +int RSA_generate_multi_prime_key(RSA *rsa, int bits, int num_primes, + BIGNUM *e_value, BN_GENCB *cb) { + if (rsa->meth->multi_prime_keygen) { + return rsa->meth->multi_prime_keygen(rsa, bits, num_primes, e_value, cb); + } + + return RSA_default_method.multi_prime_keygen(rsa, bits, num_primes, e_value, + cb); +} + int RSA_encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, const uint8_t *in, size_t in_len, int padding) { if (rsa->meth->encrypt) { @@ -342,20 +368,15 @@ static const struct pkcs1_sig_prefix kPKCS1SigPrefixes[] = { }, }; -/* TODO(fork): mostly new code, needs careful review. */ - -/* pkcs1_prefixed_msg builds a PKCS#1, prefixed version of |msg| for the given - * hash function and sets |out_msg| to point to it. On successful return, - * |*out_msg| may be allocated memory and, if so, |*is_alloced| will be 1. */ -static int pkcs1_prefixed_msg(uint8_t **out_msg, size_t *out_msg_len, - int *is_alloced, int hash_nid, const uint8_t *msg, - size_t msg_len) { +int RSA_add_pkcs1_prefix(uint8_t **out_msg, size_t *out_msg_len, + int *is_alloced, int hash_nid, const uint8_t *msg, + size_t msg_len) { unsigned i; if (hash_nid == NID_md5_sha1) { /* Special case: SSL signature, just check the length. */ if (msg_len != SSL_SIG_LENGTH) { - OPENSSL_PUT_ERROR(RSA, pkcs1_prefixed_msg, RSA_R_INVALID_MESSAGE_LENGTH); + OPENSSL_PUT_ERROR(RSA, RSA_R_INVALID_MESSAGE_LENGTH); return 0; } @@ -378,13 +399,13 @@ static int pkcs1_prefixed_msg(uint8_t **out_msg, size_t *out_msg_len, signed_msg_len = prefix_len + msg_len; if (signed_msg_len < prefix_len) { - OPENSSL_PUT_ERROR(RSA, pkcs1_prefixed_msg, RSA_R_TOO_LONG); + OPENSSL_PUT_ERROR(RSA, RSA_R_TOO_LONG); return 0; } signed_msg = OPENSSL_malloc(signed_msg_len); if (!signed_msg) { - OPENSSL_PUT_ERROR(RSA, pkcs1_prefixed_msg, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return 0; } @@ -398,7 +419,7 @@ static int pkcs1_prefixed_msg(uint8_t **out_msg, size_t *out_msg_len, return 1; } - OPENSSL_PUT_ERROR(RSA, pkcs1_prefixed_msg, RSA_R_UNKNOWN_ALGORITHM_TYPE); + OPENSSL_PUT_ERROR(RSA, RSA_R_UNKNOWN_ALGORITHM_TYPE); return 0; } @@ -415,14 +436,14 @@ int RSA_sign(int hash_nid, const uint8_t *in, unsigned in_len, uint8_t *out, return rsa->meth->sign(hash_nid, in, in_len, out, out_len, rsa); } - if (!pkcs1_prefixed_msg(&signed_msg, &signed_msg_len, &signed_msg_is_alloced, - hash_nid, in, in_len)) { + if (!RSA_add_pkcs1_prefix(&signed_msg, &signed_msg_len, + &signed_msg_is_alloced, hash_nid, in, in_len)) { return 0; } if (rsa_size < RSA_PKCS1_PADDING_SIZE || signed_msg_len > rsa_size - RSA_PKCS1_PADDING_SIZE) { - OPENSSL_PUT_ERROR(RSA, RSA_sign, RSA_R_DIGEST_TOO_BIG_FOR_RSA_KEY); + OPENSSL_PUT_ERROR(RSA, RSA_R_DIGEST_TOO_BIG_FOR_RSA_KEY); goto finish; } @@ -453,18 +474,18 @@ int RSA_verify(int hash_nid, const uint8_t *msg, size_t msg_len, } if (sig_len != rsa_size) { - OPENSSL_PUT_ERROR(RSA, RSA_verify, RSA_R_WRONG_SIGNATURE_LENGTH); + OPENSSL_PUT_ERROR(RSA, RSA_R_WRONG_SIGNATURE_LENGTH); return 0; } if (hash_nid == NID_md5_sha1 && msg_len != SSL_SIG_LENGTH) { - OPENSSL_PUT_ERROR(RSA, RSA_verify, RSA_R_INVALID_MESSAGE_LENGTH); + OPENSSL_PUT_ERROR(RSA, RSA_R_INVALID_MESSAGE_LENGTH); return 0; } buf = OPENSSL_malloc(rsa_size); if (!buf) { - OPENSSL_PUT_ERROR(RSA, RSA_verify, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return 0; } @@ -473,13 +494,13 @@ int RSA_verify(int hash_nid, const uint8_t *msg, size_t msg_len, goto out; } - if (!pkcs1_prefixed_msg(&signed_msg, &signed_msg_len, &signed_msg_is_alloced, - hash_nid, msg, msg_len)) { + if (!RSA_add_pkcs1_prefix(&signed_msg, &signed_msg_len, + &signed_msg_is_alloced, hash_nid, msg, msg_len)) { goto out; } if (len != signed_msg_len || CRYPTO_memcmp(buf, signed_msg, len) != 0) { - OPENSSL_PUT_ERROR(RSA, RSA_verify, RSA_R_BAD_SIGNATURE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_SIGNATURE); goto out; } @@ -509,12 +530,12 @@ int RSA_check_key(const RSA *key) { } if ((key->p != NULL) != (key->q != NULL)) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_ONLY_ONE_OF_P_Q_GIVEN); + OPENSSL_PUT_ERROR(RSA, RSA_R_ONLY_ONE_OF_P_Q_GIVEN); return 0; } if (!key->n || !key->e) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_VALUE_MISSING); + OPENSSL_PUT_ERROR(RSA, RSA_R_VALUE_MISSING); return 0; } @@ -526,7 +547,7 @@ int RSA_check_key(const RSA *key) { ctx = BN_CTX_new(); if (ctx == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return 0; } @@ -540,52 +561,74 @@ int RSA_check_key(const RSA *key) { BN_init(&dmq1); BN_init(&iqmp); - if (/* n = pq */ - !BN_mul(&n, key->p, key->q, ctx) || - /* lcm = lcm(p-1, q-1) */ + if (!BN_mul(&n, key->p, key->q, ctx) || + /* lcm = lcm(prime-1, for all primes) */ !BN_sub(&pm1, key->p, BN_value_one()) || !BN_sub(&qm1, key->q, BN_value_one()) || !BN_mul(&lcm, &pm1, &qm1, ctx) || + !BN_gcd(&gcd, &pm1, &qm1, ctx)) { + OPENSSL_PUT_ERROR(RSA, ERR_LIB_BN); + goto out; + } + + size_t num_additional_primes = 0; + if (key->additional_primes != NULL) { + num_additional_primes = sk_RSA_additional_prime_num(key->additional_primes); + } + + size_t i; + for (i = 0; i < num_additional_primes; i++) { + const RSA_additional_prime *ap = + sk_RSA_additional_prime_value(key->additional_primes, i); + if (!BN_mul(&n, &n, ap->prime, ctx) || + !BN_sub(&pm1, ap->prime, BN_value_one()) || + !BN_mul(&lcm, &lcm, &pm1, ctx) || + !BN_gcd(&gcd, &gcd, &pm1, ctx)) { + OPENSSL_PUT_ERROR(RSA, ERR_LIB_BN); + goto out; + } + } + + if (!BN_div(&lcm, NULL, &lcm, &gcd, ctx) || !BN_gcd(&gcd, &pm1, &qm1, ctx) || - !BN_div(&lcm, NULL, &lcm, &gcd, ctx) || - /* de = d*e mod lcm(p-1, q-1) */ + /* de = d*e mod lcm(prime-1, for all primes). */ !BN_mod_mul(&de, key->d, key->e, &lcm, ctx)) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, ERR_LIB_BN); + OPENSSL_PUT_ERROR(RSA, ERR_LIB_BN); goto out; } if (BN_cmp(&n, key->n) != 0) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_N_NOT_EQUAL_P_Q); + OPENSSL_PUT_ERROR(RSA, RSA_R_N_NOT_EQUAL_P_Q); goto out; } if (!BN_is_one(&de)) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_D_E_NOT_CONGRUENT_TO_1); + OPENSSL_PUT_ERROR(RSA, RSA_R_D_E_NOT_CONGRUENT_TO_1); goto out; } has_crt_values = key->dmp1 != NULL; if (has_crt_values != (key->dmq1 != NULL) || has_crt_values != (key->iqmp != NULL)) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_INCONSISTENT_SET_OF_CRT_VALUES); + OPENSSL_PUT_ERROR(RSA, RSA_R_INCONSISTENT_SET_OF_CRT_VALUES); goto out; } - if (has_crt_values) { + if (has_crt_values && num_additional_primes == 0) { if (/* dmp1 = d mod (p-1) */ !BN_mod(&dmp1, key->d, &pm1, ctx) || /* dmq1 = d mod (q-1) */ !BN_mod(&dmq1, key->d, &qm1, ctx) || /* iqmp = q^-1 mod p */ !BN_mod_inverse(&iqmp, key->q, key->p, ctx)) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, ERR_LIB_BN); + OPENSSL_PUT_ERROR(RSA, ERR_LIB_BN); goto out; } if (BN_cmp(&dmp1, key->dmp1) != 0 || BN_cmp(&dmq1, key->dmq1) != 0 || BN_cmp(&iqmp, key->iqmp) != 0) { - OPENSSL_PUT_ERROR(RSA, RSA_check_key, RSA_R_CRT_VALUES_INCORRECT); + OPENSSL_PUT_ERROR(RSA, RSA_R_CRT_VALUES_INCORRECT); goto out; } } @@ -613,13 +656,17 @@ int RSA_recover_crt_params(RSA *rsa) { int ok = 0; if (rsa->n == NULL || rsa->e == NULL || rsa->d == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, RSA_R_EMPTY_PUBLIC_KEY); + OPENSSL_PUT_ERROR(RSA, RSA_R_EMPTY_PUBLIC_KEY); return 0; } if (rsa->p || rsa->q || rsa->dmp1 || rsa->dmq1 || rsa->iqmp) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, - RSA_R_CRT_PARAMS_ALREADY_GIVEN); + OPENSSL_PUT_ERROR(RSA, RSA_R_CRT_PARAMS_ALREADY_GIVEN); + return 0; + } + + if (rsa->additional_primes != NULL) { + OPENSSL_PUT_ERROR(RSA, RSA_R_CANNOT_RECOVER_MULTI_PRIME_KEY); return 0; } @@ -628,7 +675,7 @@ int RSA_recover_crt_params(RSA *rsa) { ctx = BN_CTX_new(); if (ctx == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); return 0; } @@ -641,7 +688,7 @@ int RSA_recover_crt_params(RSA *rsa) { if (totient == NULL || rem == NULL || multiple == NULL || p_plus_q == NULL || p_minus_q == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -669,12 +716,12 @@ int RSA_recover_crt_params(RSA *rsa) { !BN_div(multiple, NULL, totient, rsa->n, ctx) || !BN_add_word(multiple, 1) || !BN_div(totient, rem, totient, multiple, ctx)) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_BN_LIB); + OPENSSL_PUT_ERROR(RSA, ERR_R_BN_LIB); goto err; } if (!BN_is_zero(rem)) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, RSA_R_BAD_RSA_PARAMETERS); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_RSA_PARAMETERS); goto err; } @@ -685,7 +732,7 @@ int RSA_recover_crt_params(RSA *rsa) { rsa->iqmp = BN_new(); if (rsa->p == NULL || rsa->q == NULL || rsa->dmp1 == NULL || rsa->dmq1 == NULL || rsa->iqmp == NULL) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -703,12 +750,12 @@ int RSA_recover_crt_params(RSA *rsa) { !BN_rshift1(rsa->q, rsa->q) || !BN_div(rsa->p, NULL, rsa->n, rsa->q, ctx) || !BN_mul(multiple, rsa->p, rsa->q, ctx)) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_BN_LIB); + OPENSSL_PUT_ERROR(RSA, ERR_R_BN_LIB); goto err; } if (BN_cmp(multiple, rsa->n) != 0) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, RSA_R_INTERNAL_ERROR); + OPENSSL_PUT_ERROR(RSA, RSA_R_INTERNAL_ERROR); goto err; } @@ -717,7 +764,7 @@ int RSA_recover_crt_params(RSA *rsa) { !BN_sub(rem, rsa->q, BN_value_one()) || !BN_mod(rsa->dmq1, rsa->d, rem, ctx) || !BN_mod_inverse(rsa->iqmp, rsa->q, rsa->p, ctx)) { - OPENSSL_PUT_ERROR(RSA, RSA_recover_crt_params, ERR_R_BN_LIB); + OPENSSL_PUT_ERROR(RSA, ERR_R_BN_LIB); goto err; } diff --git a/src/crypto/rsa/rsa_asn1.c b/src/crypto/rsa/rsa_asn1.c index 924cb8a..e3756ba 100644 --- a/src/crypto/rsa/rsa_asn1.c +++ b/src/crypto/rsa/rsa_asn1.c @@ -55,45 +55,384 @@ #include <openssl/rsa.h> +#include <assert.h> +#include <limits.h> +#include <string.h> + #include <openssl/asn1.h> #include <openssl/asn1t.h> +#include <openssl/bn.h> +#include <openssl/bytestring.h> +#include <openssl/err.h> +#include <openssl/mem.h> #include "internal.h" -/* Override the default free and new methods */ -static int rsa_cb(int operation, ASN1_VALUE **pval, const ASN1_ITEM *it, - void *exarg) { - if (operation == ASN1_OP_NEW_PRE) { - *pval = (ASN1_VALUE *)RSA_new(); - if (*pval) { - return 2; +static int parse_integer_buggy(CBS *cbs, BIGNUM **out, int buggy) { + assert(*out == NULL); + *out = BN_new(); + if (*out == NULL) { + return 0; + } + if (buggy) { + return BN_cbs2unsigned_buggy(cbs, *out); + } + return BN_cbs2unsigned(cbs, *out); +} + +static int parse_integer(CBS *cbs, BIGNUM **out) { + return parse_integer_buggy(cbs, out, 0 /* not buggy */); +} + +static int marshal_integer(CBB *cbb, BIGNUM *bn) { + if (bn == NULL) { + /* An RSA object may be missing some components. */ + OPENSSL_PUT_ERROR(RSA, RSA_R_VALUE_MISSING); + return 0; + } + return BN_bn2cbb(cbb, bn); +} + +static RSA *parse_public_key(CBS *cbs, int buggy) { + RSA *ret = RSA_new(); + if (ret == NULL) { + return NULL; + } + CBS child; + if (!CBS_get_asn1(cbs, &child, CBS_ASN1_SEQUENCE) || + !parse_integer_buggy(&child, &ret->n, buggy) || + !parse_integer(&child, &ret->e) || + CBS_len(&child) != 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + RSA_free(ret); + return NULL; + } + return ret; +} + +RSA *RSA_parse_public_key(CBS *cbs) { + return parse_public_key(cbs, 0 /* not buggy */); +} + +RSA *RSA_parse_public_key_buggy(CBS *cbs) { + /* Estonian IDs issued between September 2014 to September 2015 are + * broken. See https://crbug.com/532048 and https://crbug.com/534766. + * + * TODO(davidben): Remove this code and callers in March 2016. */ + return parse_public_key(cbs, 1 /* buggy */); +} + +RSA *RSA_public_key_from_bytes(const uint8_t *in, size_t in_len) { + CBS cbs; + CBS_init(&cbs, in, in_len); + RSA *ret = RSA_parse_public_key(&cbs); + if (ret == NULL || CBS_len(&cbs) != 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + RSA_free(ret); + return NULL; + } + return ret; +} + +int RSA_marshal_public_key(CBB *cbb, const RSA *rsa) { + CBB child; + if (!CBB_add_asn1(cbb, &child, CBS_ASN1_SEQUENCE) || + !marshal_integer(&child, rsa->n) || + !marshal_integer(&child, rsa->e) || + !CBB_flush(cbb)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + return 0; + } + return 1; +} + +int RSA_public_key_to_bytes(uint8_t **out_bytes, size_t *out_len, + const RSA *rsa) { + CBB cbb; + CBB_zero(&cbb); + if (!CBB_init(&cbb, 0) || + !RSA_marshal_public_key(&cbb, rsa) || + !CBB_finish(&cbb, out_bytes, out_len)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + CBB_cleanup(&cbb); + return 0; + } + return 1; +} + +/* kVersionTwoPrime and kVersionMulti are the supported values of the version + * field of an RSAPrivateKey structure (RFC 3447). */ +static const uint64_t kVersionTwoPrime = 0; +static const uint64_t kVersionMulti = 1; + +/* rsa_parse_additional_prime parses a DER-encoded OtherPrimeInfo from |cbs| and + * advances |cbs|. It returns a newly-allocated |RSA_additional_prime| on + * success or NULL on error. The |r| and |method_mod| fields of the result are + * set to NULL. */ +static RSA_additional_prime *rsa_parse_additional_prime(CBS *cbs) { + RSA_additional_prime *ret = OPENSSL_malloc(sizeof(RSA_additional_prime)); + if (ret == NULL) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); + return 0; + } + memset(ret, 0, sizeof(RSA_additional_prime)); + + CBS child; + if (!CBS_get_asn1(cbs, &child, CBS_ASN1_SEQUENCE) || + !parse_integer(&child, &ret->prime) || + !parse_integer(&child, &ret->exp) || + !parse_integer(&child, &ret->coeff) || + CBS_len(&child) != 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + RSA_additional_prime_free(ret); + return NULL; + } + + return ret; +} + +RSA *RSA_parse_private_key(CBS *cbs) { + BN_CTX *ctx = NULL; + BIGNUM *product_of_primes_so_far = NULL; + RSA *ret = RSA_new(); + if (ret == NULL) { + return NULL; + } + + CBS child; + uint64_t version; + if (!CBS_get_asn1(cbs, &child, CBS_ASN1_SEQUENCE) || + !CBS_get_asn1_uint64(&child, &version) || + (version != kVersionTwoPrime && version != kVersionMulti) || + !parse_integer(&child, &ret->n) || + !parse_integer(&child, &ret->e) || + !parse_integer(&child, &ret->d) || + !parse_integer(&child, &ret->p) || + !parse_integer(&child, &ret->q) || + !parse_integer(&child, &ret->dmp1) || + !parse_integer(&child, &ret->dmq1) || + !parse_integer(&child, &ret->iqmp)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_VERSION); + goto err; + } + + /* Multi-prime RSA requires a newer version. */ + if (version == kVersionMulti && + CBS_peek_asn1_tag(&child, CBS_ASN1_SEQUENCE)) { + CBS other_prime_infos; + if (!CBS_get_asn1(&child, &other_prime_infos, CBS_ASN1_SEQUENCE) || + CBS_len(&other_prime_infos) == 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + goto err; + } + ret->additional_primes = sk_RSA_additional_prime_new_null(); + if (ret->additional_primes == NULL) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); + goto err; + } + + ctx = BN_CTX_new(); + product_of_primes_so_far = BN_new(); + if (ctx == NULL || + product_of_primes_so_far == NULL || + !BN_mul(product_of_primes_so_far, ret->p, ret->q, ctx)) { + goto err; + } + + while (CBS_len(&other_prime_infos) > 0) { + RSA_additional_prime *ap = rsa_parse_additional_prime(&other_prime_infos); + if (ap == NULL) { + goto err; + } + if (!sk_RSA_additional_prime_push(ret->additional_primes, ap)) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); + RSA_additional_prime_free(ap); + goto err; + } + ap->r = BN_dup(product_of_primes_so_far); + if (ap->r == NULL || + !BN_mul(product_of_primes_so_far, product_of_primes_so_far, + ap->prime, ctx)) { + goto err; + } } + } + + if (CBS_len(&child) != 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + goto err; + } + + BN_CTX_free(ctx); + BN_free(product_of_primes_so_far); + return ret; + +err: + BN_CTX_free(ctx); + BN_free(product_of_primes_so_far); + RSA_free(ret); + return NULL; +} + +RSA *RSA_private_key_from_bytes(const uint8_t *in, size_t in_len) { + CBS cbs; + CBS_init(&cbs, in, in_len); + RSA *ret = RSA_parse_private_key(&cbs); + if (ret == NULL || CBS_len(&cbs) != 0) { + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_ENCODING); + RSA_free(ret); + return NULL; + } + return ret; +} + +int RSA_marshal_private_key(CBB *cbb, const RSA *rsa) { + const int is_multiprime = + sk_RSA_additional_prime_num(rsa->additional_primes) > 0; + + CBB child; + if (!CBB_add_asn1(cbb, &child, CBS_ASN1_SEQUENCE) || + !CBB_add_asn1_uint64(&child, + is_multiprime ? kVersionMulti : kVersionTwoPrime) || + !marshal_integer(&child, rsa->n) || + !marshal_integer(&child, rsa->e) || + !marshal_integer(&child, rsa->d) || + !marshal_integer(&child, rsa->p) || + !marshal_integer(&child, rsa->q) || + !marshal_integer(&child, rsa->dmp1) || + !marshal_integer(&child, rsa->dmq1) || + !marshal_integer(&child, rsa->iqmp)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + return 0; + } + + if (is_multiprime) { + CBB other_prime_infos; + if (!CBB_add_asn1(&child, &other_prime_infos, CBS_ASN1_SEQUENCE)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + return 0; + } + size_t i; + for (i = 0; i < sk_RSA_additional_prime_num(rsa->additional_primes); i++) { + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(rsa->additional_primes, i); + CBB other_prime_info; + if (!CBB_add_asn1(&other_prime_infos, &other_prime_info, + CBS_ASN1_SEQUENCE) || + !marshal_integer(&other_prime_info, ap->prime) || + !marshal_integer(&other_prime_info, ap->exp) || + !marshal_integer(&other_prime_info, ap->coeff)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + return 0; + } + } + } + + if (!CBB_flush(cbb)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); return 0; - } else if (operation == ASN1_OP_FREE_PRE) { - RSA_free((RSA *)*pval); - *pval = NULL; - return 2; } return 1; } -ASN1_SEQUENCE_cb(RSAPrivateKey, rsa_cb) = { - ASN1_SIMPLE(RSA, version, LONG), - ASN1_SIMPLE(RSA, n, BIGNUM), - ASN1_SIMPLE(RSA, e, BIGNUM), - ASN1_SIMPLE(RSA, d, BIGNUM), - ASN1_SIMPLE(RSA, p, BIGNUM), - ASN1_SIMPLE(RSA, q, BIGNUM), - ASN1_SIMPLE(RSA, dmp1, BIGNUM), - ASN1_SIMPLE(RSA, dmq1, BIGNUM), - ASN1_SIMPLE(RSA, iqmp, BIGNUM), -} ASN1_SEQUENCE_END_cb(RSA, RSAPrivateKey); +int RSA_private_key_to_bytes(uint8_t **out_bytes, size_t *out_len, + const RSA *rsa) { + CBB cbb; + CBB_zero(&cbb); + if (!CBB_init(&cbb, 0) || + !RSA_marshal_private_key(&cbb, rsa) || + !CBB_finish(&cbb, out_bytes, out_len)) { + OPENSSL_PUT_ERROR(RSA, RSA_R_ENCODE_ERROR); + CBB_cleanup(&cbb); + return 0; + } + return 1; +} -ASN1_SEQUENCE_cb(RSAPublicKey, rsa_cb) = { - ASN1_SIMPLE(RSA, n, BIGNUM), - ASN1_SIMPLE(RSA, e, BIGNUM), -} ASN1_SEQUENCE_END_cb(RSA, RSAPublicKey); +RSA *d2i_RSAPublicKey(RSA **out, const uint8_t **inp, long len) { + if (len < 0) { + return NULL; + } + CBS cbs; + CBS_init(&cbs, *inp, (size_t)len); + RSA *ret = RSA_parse_public_key(&cbs); + if (ret == NULL) { + return NULL; + } + if (out != NULL) { + RSA_free(*out); + *out = ret; + } + *inp += (size_t)len - CBS_len(&cbs); + return ret; +} + +int i2d_RSAPublicKey(const RSA *in, uint8_t **outp) { + uint8_t *der; + size_t der_len; + if (!RSA_public_key_to_bytes(&der, &der_len, in)) { + return -1; + } + if (der_len > INT_MAX) { + OPENSSL_PUT_ERROR(RSA, ERR_R_OVERFLOW); + OPENSSL_free(der); + return -1; + } + if (outp != NULL) { + if (*outp == NULL) { + *outp = der; + der = NULL; + } else { + memcpy(*outp, der, der_len); + *outp += der_len; + } + } + OPENSSL_free(der); + return (int)der_len; +} + +RSA *d2i_RSAPrivateKey(RSA **out, const uint8_t **inp, long len) { + if (len < 0) { + return NULL; + } + CBS cbs; + CBS_init(&cbs, *inp, (size_t)len); + RSA *ret = RSA_parse_private_key(&cbs); + if (ret == NULL) { + return NULL; + } + if (out != NULL) { + RSA_free(*out); + *out = ret; + } + *inp += (size_t)len - CBS_len(&cbs); + return ret; +} + +int i2d_RSAPrivateKey(const RSA *in, uint8_t **outp) { + uint8_t *der; + size_t der_len; + if (!RSA_private_key_to_bytes(&der, &der_len, in)) { + return -1; + } + if (der_len > INT_MAX) { + OPENSSL_PUT_ERROR(RSA, ERR_R_OVERFLOW); + OPENSSL_free(der); + return -1; + } + if (outp != NULL) { + if (*outp == NULL) { + *outp = der; + der = NULL; + } else { + memcpy(*outp, der, der_len); + *outp += der_len; + } + } + OPENSSL_free(der); + return (int)der_len; +} ASN1_SEQUENCE(RSA_PSS_PARAMS) = { ASN1_EXP_OPT(RSA_PSS_PARAMS, hashAlgorithm, X509_ALGOR,0), @@ -104,22 +443,24 @@ ASN1_SEQUENCE(RSA_PSS_PARAMS) = { IMPLEMENT_ASN1_FUNCTIONS(RSA_PSS_PARAMS); -ASN1_SEQUENCE(RSA_OAEP_PARAMS) = { - ASN1_EXP_OPT(RSA_OAEP_PARAMS, hashFunc, X509_ALGOR, 0), - ASN1_EXP_OPT(RSA_OAEP_PARAMS, maskGenFunc, X509_ALGOR, 1), - ASN1_EXP_OPT(RSA_OAEP_PARAMS, pSourceFunc, X509_ALGOR, 2), -} ASN1_SEQUENCE_END(RSA_OAEP_PARAMS); - -IMPLEMENT_ASN1_FUNCTIONS(RSA_OAEP_PARAMS); - -IMPLEMENT_ASN1_ENCODE_FUNCTIONS_const_fname(RSA, RSAPrivateKey, RSAPrivateKey); - -IMPLEMENT_ASN1_ENCODE_FUNCTIONS_const_fname(RSA, RSAPublicKey, RSAPublicKey); - RSA *RSAPublicKey_dup(const RSA *rsa) { - return ASN1_item_dup(ASN1_ITEM_rptr(RSAPublicKey), (RSA *) rsa); + uint8_t *der; + size_t der_len; + if (!RSA_public_key_to_bytes(&der, &der_len, rsa)) { + return NULL; + } + RSA *ret = RSA_public_key_from_bytes(der, der_len); + OPENSSL_free(der); + return ret; } RSA *RSAPrivateKey_dup(const RSA *rsa) { - return ASN1_item_dup(ASN1_ITEM_rptr(RSAPrivateKey), (RSA *) rsa); + uint8_t *der; + size_t der_len; + if (!RSA_private_key_to_bytes(&der, &der_len, rsa)) { + return NULL; + } + RSA *ret = RSA_private_key_from_bytes(der, der_len); + OPENSSL_free(der); + return ret; } diff --git a/src/crypto/rsa/rsa_impl.c b/src/crypto/rsa/rsa_impl.c index e14f0f5..eb4a36f 100644 --- a/src/crypto/rsa/rsa_impl.c +++ b/src/crypto/rsa/rsa_impl.c @@ -78,6 +78,15 @@ static int finish(RSA *rsa) { BN_MONT_CTX_free(rsa->_method_mod_p); BN_MONT_CTX_free(rsa->_method_mod_q); + if (rsa->additional_primes != NULL) { + size_t i; + for (i = 0; i < sk_RSA_additional_prime_num(rsa->additional_primes); i++) { + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(rsa->additional_primes, i); + BN_MONT_CTX_free(ap->method_mod); + } + } + return 1; } @@ -94,24 +103,24 @@ static int encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, int i, ret = 0; if (rsa_size > OPENSSL_RSA_MAX_MODULUS_BITS) { - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_MODULUS_TOO_LARGE); + OPENSSL_PUT_ERROR(RSA, RSA_R_MODULUS_TOO_LARGE); return 0; } if (max_out < rsa_size) { - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_OUTPUT_BUFFER_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_OUTPUT_BUFFER_TOO_SMALL); return 0; } if (BN_ucmp(rsa->n, rsa->e) <= 0) { - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_BAD_E_VALUE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_E_VALUE); return 0; } /* for large moduli, enforce exponent limit */ if (BN_num_bits(rsa->n) > OPENSSL_RSA_SMALL_MODULUS_BITS && BN_num_bits(rsa->e) > OPENSSL_RSA_MAX_PUBEXP_BITS) { - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_BAD_E_VALUE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_E_VALUE); return 0; } @@ -125,7 +134,7 @@ static int encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, result = BN_CTX_get(ctx); buf = OPENSSL_malloc(rsa_size); if (!f || !result || !buf) { - OPENSSL_PUT_ERROR(RSA, encrypt, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -142,7 +151,7 @@ static int encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, i = RSA_padding_add_none(buf, rsa_size, in, in_len); break; default: - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_UNKNOWN_PADDING_TYPE); + OPENSSL_PUT_ERROR(RSA, RSA_R_UNKNOWN_PADDING_TYPE); goto err; } @@ -156,7 +165,7 @@ static int encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, if (BN_ucmp(f, rsa->n) >= 0) { /* usually the padding functions would catch this */ - OPENSSL_PUT_ERROR(RSA, encrypt, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); goto err; } @@ -175,7 +184,7 @@ static int encrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, /* put in leading 0 bytes if the number is less than the length of the * modulus */ if (!BN_bn2bin_padded(out, rsa_size, result)) { - OPENSSL_PUT_ERROR(RSA, encrypt, ERR_R_INTERNAL_ERROR); + OPENSSL_PUT_ERROR(RSA, ERR_R_INTERNAL_ERROR); goto err; } @@ -309,13 +318,13 @@ static int sign_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, int i, ret = 0; if (max_out < rsa_size) { - OPENSSL_PUT_ERROR(RSA, sign_raw, RSA_R_OUTPUT_BUFFER_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_OUTPUT_BUFFER_TOO_SMALL); return 0; } buf = OPENSSL_malloc(rsa_size); if (buf == NULL) { - OPENSSL_PUT_ERROR(RSA, sign_raw, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -327,7 +336,7 @@ static int sign_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, i = RSA_padding_add_none(buf, rsa_size, in, in_len); break; default: - OPENSSL_PUT_ERROR(RSA, sign_raw, RSA_R_UNKNOWN_PADDING_TYPE); + OPENSSL_PUT_ERROR(RSA, RSA_R_UNKNOWN_PADDING_TYPE); goto err; } @@ -359,18 +368,23 @@ static int decrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, int ret = 0; if (max_out < rsa_size) { - OPENSSL_PUT_ERROR(RSA, decrypt, RSA_R_OUTPUT_BUFFER_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_OUTPUT_BUFFER_TOO_SMALL); return 0; } - buf = OPENSSL_malloc(rsa_size); - if (buf == NULL) { - OPENSSL_PUT_ERROR(RSA, decrypt, ERR_R_MALLOC_FAILURE); - goto err; + if (padding == RSA_NO_PADDING) { + buf = out; + } else { + /* Allocate a temporary buffer to hold the padded plaintext. */ + buf = OPENSSL_malloc(rsa_size); + if (buf == NULL) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); + goto err; + } } if (in_len != rsa_size) { - OPENSSL_PUT_ERROR(RSA, decrypt, RSA_R_DATA_LEN_NOT_EQUAL_TO_MOD_LEN); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_LEN_NOT_EQUAL_TO_MOD_LEN); goto err; } @@ -388,22 +402,22 @@ static int decrypt(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, NULL, 0, NULL, NULL); break; case RSA_NO_PADDING: - r = RSA_padding_check_none(out, rsa_size, buf, rsa_size); + r = rsa_size; break; default: - OPENSSL_PUT_ERROR(RSA, decrypt, RSA_R_UNKNOWN_PADDING_TYPE); + OPENSSL_PUT_ERROR(RSA, RSA_R_UNKNOWN_PADDING_TYPE); goto err; } if (r < 0) { - OPENSSL_PUT_ERROR(RSA, decrypt, RSA_R_PADDING_CHECK_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_PADDING_CHECK_FAILED); } else { *out_len = r; ret = 1; } err: - if (buf != NULL) { + if (padding != RSA_NO_PADDING && buf != NULL) { OPENSSL_cleanse(buf, rsa_size); OPENSSL_free(buf); } @@ -421,24 +435,24 @@ static int verify_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, BN_CTX *ctx = NULL; if (BN_num_bits(rsa->n) > OPENSSL_RSA_MAX_MODULUS_BITS) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_MODULUS_TOO_LARGE); + OPENSSL_PUT_ERROR(RSA, RSA_R_MODULUS_TOO_LARGE); return 0; } if (BN_ucmp(rsa->n, rsa->e) <= 0) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_BAD_E_VALUE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_E_VALUE); return 0; } if (max_out < rsa_size) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_OUTPUT_BUFFER_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_OUTPUT_BUFFER_TOO_SMALL); return 0; } /* for large moduli, enforce exponent limit */ if (BN_num_bits(rsa->n) > OPENSSL_RSA_SMALL_MODULUS_BITS && BN_num_bits(rsa->e) > OPENSSL_RSA_MAX_PUBEXP_BITS) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_BAD_E_VALUE); + OPENSSL_PUT_ERROR(RSA, RSA_R_BAD_E_VALUE); return 0; } @@ -450,14 +464,23 @@ static int verify_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, BN_CTX_start(ctx); f = BN_CTX_get(ctx); result = BN_CTX_get(ctx); - buf = OPENSSL_malloc(rsa_size); - if (!f || !result || !buf) { - OPENSSL_PUT_ERROR(RSA, verify_raw, ERR_R_MALLOC_FAILURE); + if (padding == RSA_NO_PADDING) { + buf = out; + } else { + /* Allocate a temporary buffer to hold the padded plaintext. */ + buf = OPENSSL_malloc(rsa_size); + if (buf == NULL) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); + goto err; + } + } + if (!f || !result) { + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } if (in_len != rsa_size) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_DATA_LEN_NOT_EQUAL_TO_MOD_LEN); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_LEN_NOT_EQUAL_TO_MOD_LEN); goto err; } @@ -466,7 +489,7 @@ static int verify_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, } if (BN_ucmp(f, rsa->n) >= 0) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); goto err; } @@ -483,7 +506,7 @@ static int verify_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, } if (!BN_bn2bin_padded(buf, rsa_size, result)) { - OPENSSL_PUT_ERROR(RSA, verify_raw, ERR_R_INTERNAL_ERROR); + OPENSSL_PUT_ERROR(RSA, ERR_R_INTERNAL_ERROR); goto err; } @@ -492,15 +515,15 @@ static int verify_raw(RSA *rsa, size_t *out_len, uint8_t *out, size_t max_out, r = RSA_padding_check_PKCS1_type_1(out, rsa_size, buf, rsa_size); break; case RSA_NO_PADDING: - r = RSA_padding_check_none(out, rsa_size, buf, rsa_size); + r = rsa_size; break; default: - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_UNKNOWN_PADDING_TYPE); + OPENSSL_PUT_ERROR(RSA, RSA_R_UNKNOWN_PADDING_TYPE); goto err; } if (r < 0) { - OPENSSL_PUT_ERROR(RSA, verify_raw, RSA_R_PADDING_CHECK_FAILED); + OPENSSL_PUT_ERROR(RSA, RSA_R_PADDING_CHECK_FAILED); } else { *out_len = r; ret = 1; @@ -511,7 +534,7 @@ err: BN_CTX_end(ctx); BN_CTX_free(ctx); } - if (buf != NULL) { + if (padding != RSA_NO_PADDING && buf != NULL) { OPENSSL_cleanse(buf, rsa_size); OPENSSL_free(buf); } @@ -535,7 +558,7 @@ static int private_transform(RSA *rsa, uint8_t *out, const uint8_t *in, result = BN_CTX_get(ctx); if (f == NULL || result == NULL) { - OPENSSL_PUT_ERROR(RSA, private_transform, ERR_R_MALLOC_FAILURE); + OPENSSL_PUT_ERROR(RSA, ERR_R_MALLOC_FAILURE); goto err; } @@ -545,14 +568,14 @@ static int private_transform(RSA *rsa, uint8_t *out, const uint8_t *in, if (BN_ucmp(f, rsa->n) >= 0) { /* Usually the padding functions would catch this. */ - OPENSSL_PUT_ERROR(RSA, private_transform, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); + OPENSSL_PUT_ERROR(RSA, RSA_R_DATA_TOO_LARGE_FOR_MODULUS); goto err; } if (!(rsa->flags & RSA_FLAG_NO_BLINDING)) { blinding = rsa_blinding_get(rsa, &blinding_index, ctx); if (blinding == NULL) { - OPENSSL_PUT_ERROR(RSA, private_transform, ERR_R_INTERNAL_ERROR); + OPENSSL_PUT_ERROR(RSA, ERR_R_INTERNAL_ERROR); goto err; } if (!BN_BLINDING_convert_ex(f, NULL, blinding, ctx)) { @@ -593,7 +616,7 @@ static int private_transform(RSA *rsa, uint8_t *out, const uint8_t *in, } if (!BN_bn2bin_padded(out, len, result)) { - OPENSSL_PUT_ERROR(RSA, private_transform, ERR_R_INTERNAL_ERROR); + OPENSSL_PUT_ERROR(RSA, ERR_R_INTERNAL_ERROR); goto err; } @@ -616,6 +639,11 @@ static int mod_exp(BIGNUM *r0, const BIGNUM *I, RSA *rsa, BN_CTX *ctx) { BIGNUM local_dmp1, local_dmq1, local_c, local_r1; BIGNUM *dmp1, *dmq1, *c, *pr1; int ret = 0; + size_t i, num_additional_primes = 0; + + if (rsa->additional_primes != NULL) { + num_additional_primes = sk_RSA_additional_prime_num(rsa->additional_primes); + } BN_CTX_start(ctx); r1 = BN_CTX_get(ctx); @@ -724,6 +752,42 @@ static int mod_exp(BIGNUM *r0, const BIGNUM *I, RSA *rsa, BN_CTX *ctx) { goto err; } + for (i = 0; i < num_additional_primes; i++) { + /* multi-prime RSA. */ + BIGNUM local_exp, local_prime; + BIGNUM *exp = &local_exp, *prime = &local_prime; + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(rsa->additional_primes, i); + + BN_with_flags(exp, ap->exp, BN_FLG_CONSTTIME); + BN_with_flags(prime, ap->prime, BN_FLG_CONSTTIME); + + /* c will already point to a BIGNUM with the correct flags. */ + if (!BN_mod(r1, c, prime, ctx)) { + goto err; + } + + if ((rsa->flags & RSA_FLAG_CACHE_PRIVATE) && + !BN_MONT_CTX_set_locked(&ap->method_mod, &rsa->lock, prime, ctx)) { + goto err; + } + + if (!rsa->meth->bn_mod_exp(m1, r1, exp, prime, ctx, ap->method_mod)) { + goto err; + } + + BN_set_flags(m1, BN_FLG_CONSTTIME); + + if (!BN_sub(m1, m1, r0) || + !BN_mul(m1, m1, ap->coeff, ctx) || + !BN_mod(m1, m1, prime, ctx) || + (BN_is_negative(m1) && !BN_add(m1, m1, prime)) || + !BN_mul(m1, m1, ap->r, ctx) || + !BN_add(r0, r0, m1)) { + goto err; + } + } + if (rsa->e && rsa->n) { if (!rsa->meth->bn_mod_exp(vrfy, r0, rsa->e, rsa->n, ctx, rsa->_method_mod_n)) { @@ -766,12 +830,20 @@ err: return ret; } -static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { +static int keygen_multiprime(RSA *rsa, int bits, int num_primes, + BIGNUM *e_value, BN_GENCB *cb) { BIGNUM *r0 = NULL, *r1 = NULL, *r2 = NULL, *r3 = NULL, *tmp; BIGNUM local_r0, local_d, local_p; BIGNUM *pr0, *d, *p; - int bitsp, bitsq, ok = -1, n = 0; + int prime_bits, ok = -1, n = 0, i, j; BN_CTX *ctx = NULL; + STACK_OF(RSA_additional_prime) *additional_primes = NULL; + + if (num_primes < 2) { + ok = 0; /* we set our own err */ + OPENSSL_PUT_ERROR(RSA, RSA_R_MUST_HAVE_AT_LEAST_TWO_PRIMES); + goto err; + } ctx = BN_CTX_new(); if (ctx == NULL) { @@ -782,12 +854,36 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { r1 = BN_CTX_get(ctx); r2 = BN_CTX_get(ctx); r3 = BN_CTX_get(ctx); - if (r3 == NULL) { + if (r0 == NULL || r1 == NULL || r2 == NULL || r3 == NULL) { goto err; } - bitsp = (bits + 1) / 2; - bitsq = bits - bitsp; + if (num_primes > 2) { + additional_primes = sk_RSA_additional_prime_new_null(); + if (additional_primes == NULL) { + goto err; + } + } + + for (i = 2; i < num_primes; i++) { + RSA_additional_prime *ap = OPENSSL_malloc(sizeof(RSA_additional_prime)); + if (ap == NULL) { + goto err; + } + memset(ap, 0, sizeof(RSA_additional_prime)); + ap->prime = BN_new(); + ap->exp = BN_new(); + ap->coeff = BN_new(); + ap->r = BN_new(); + if (ap->prime == NULL || + ap->exp == NULL || + ap->coeff == NULL || + ap->r == NULL || + !sk_RSA_additional_prime_push(additional_primes, ap)) { + RSA_additional_prime_free(ap); + goto err; + } + } /* We need the RSA components non-NULL */ if (!rsa->n && ((rsa->n = BN_new()) == NULL)) { @@ -815,11 +911,14 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { goto err; } - BN_copy(rsa->e, e_value); + if (!BN_copy(rsa->e, e_value)) { + goto err; + } /* generate p and q */ + prime_bits = (bits + (num_primes - 1)) / num_primes; for (;;) { - if (!BN_generate_prime_ex(rsa->p, bitsp, 0, NULL, NULL, cb) || + if (!BN_generate_prime_ex(rsa->p, prime_bits, 0, NULL, NULL, cb) || !BN_sub(r2, rsa->p, BN_value_one()) || !BN_gcd(r1, r2, rsa->e, ctx)) { goto err; @@ -834,19 +933,20 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { if (!BN_GENCB_call(cb, 3, 0)) { goto err; } + prime_bits = ((bits - prime_bits) + (num_primes - 2)) / (num_primes - 1); for (;;) { /* When generating ridiculously small keys, we can get stuck * continually regenerating the same prime values. Check for * this and bail if it happens 3 times. */ unsigned int degenerate = 0; do { - if (!BN_generate_prime_ex(rsa->q, bitsq, 0, NULL, NULL, cb)) { + if (!BN_generate_prime_ex(rsa->q, prime_bits, 0, NULL, NULL, cb)) { goto err; } } while ((BN_cmp(rsa->p, rsa->q) == 0) && (++degenerate < 3)); if (degenerate == 3) { ok = 0; /* we set our own err */ - OPENSSL_PUT_ERROR(RSA, keygen, RSA_R_KEY_SIZE_TOO_SMALL); + OPENSSL_PUT_ERROR(RSA, RSA_R_KEY_SIZE_TOO_SMALL); goto err; } if (!BN_sub(r2, rsa->q, BN_value_one()) || @@ -860,20 +960,91 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { goto err; } } - if (!BN_GENCB_call(cb, 3, 1)) { + + if (!BN_GENCB_call(cb, 3, 1) || + !BN_mul(rsa->n, rsa->p, rsa->q, ctx)) { goto err; } + + for (i = 2; i < num_primes; i++) { + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(additional_primes, i - 2); + prime_bits = ((bits - BN_num_bits(rsa->n)) + (num_primes - (i + 1))) / + (num_primes - i); + + for (;;) { + if (!BN_generate_prime_ex(ap->prime, prime_bits, 0, NULL, NULL, cb)) { + goto err; + } + if (BN_cmp(rsa->p, ap->prime) == 0 || + BN_cmp(rsa->q, ap->prime) == 0) { + continue; + } + + for (j = 0; j < i - 2; j++) { + if (BN_cmp(sk_RSA_additional_prime_value(additional_primes, j)->prime, + ap->prime) == 0) { + break; + } + } + if (j != i - 2) { + continue; + } + + if (!BN_sub(r2, ap->prime, BN_value_one()) || + !BN_gcd(r1, r2, rsa->e, ctx)) { + goto err; + } + + if (!BN_is_one(r1)) { + continue; + } + if (i != num_primes - 1) { + break; + } + + /* For the last prime we'll check that it makes n large enough. In the + * two prime case this isn't a problem because we generate primes with + * the top two bits set and so the product is always of the expected + * size. In the multi prime case, this doesn't follow. */ + if (!BN_mul(r1, rsa->n, ap->prime, ctx)) { + goto err; + } + if (BN_num_bits(r1) == bits) { + break; + } + + if (!BN_GENCB_call(cb, 2, n++)) { + goto err; + } + } + + /* ap->r is is the product of all the primes prior to the current one + * (including p and q). */ + if (!BN_copy(ap->r, rsa->n)) { + goto err; + } + if (i == num_primes - 1) { + /* In the case of the last prime, we calculated n as |r1| in the loop + * above. */ + if (!BN_copy(rsa->n, r1)) { + goto err; + } + } else if (!BN_mul(rsa->n, rsa->n, ap->prime, ctx)) { + goto err; + } + + if (!BN_GENCB_call(cb, 3, 1)) { + goto err; + } + } + if (BN_cmp(rsa->p, rsa->q) < 0) { tmp = rsa->p; rsa->p = rsa->q; rsa->q = tmp; } - /* calculate n */ - if (!BN_mul(rsa->n, rsa->p, rsa->q, ctx)) { - goto err; - } - /* calculate d */ if (!BN_sub(r1, rsa->p, BN_value_one())) { goto err; /* p-1 */ @@ -884,6 +1055,14 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { if (!BN_mul(r0, r1, r2, ctx)) { goto err; /* (p-1)(q-1) */ } + for (i = 2; i < num_primes; i++) { + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(additional_primes, i - 2); + if (!BN_sub(r3, ap->prime, BN_value_one()) || + !BN_mul(r0, r0, r3, ctx)) { + goto err; + } + } pr0 = &local_r0; BN_with_flags(pr0, r0, BN_FLG_CONSTTIME); if (!BN_mod_inverse(rsa->d, rsa->e, pr0, ctx)) { @@ -912,21 +1091,38 @@ static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { goto err; } + for (i = 2; i < num_primes; i++) { + RSA_additional_prime *ap = + sk_RSA_additional_prime_value(additional_primes, i - 2); + if (!BN_sub(ap->exp, ap->prime, BN_value_one()) || + !BN_mod(ap->exp, rsa->d, ap->exp, ctx) || + !BN_mod_inverse(ap->coeff, ap->r, ap->prime, ctx)) { + goto err; + } + } + ok = 1; + rsa->additional_primes = additional_primes; + additional_primes = NULL; err: if (ok == -1) { - OPENSSL_PUT_ERROR(RSA, keygen, ERR_LIB_BN); + OPENSSL_PUT_ERROR(RSA, ERR_LIB_BN); ok = 0; } if (ctx != NULL) { BN_CTX_end(ctx); BN_CTX_free(ctx); } - + sk_RSA_additional_prime_pop_free(additional_primes, + RSA_additional_prime_free); return ok; } +static int keygen(RSA *rsa, int bits, BIGNUM *e_value, BN_GENCB *cb) { + return keygen_multiprime(rsa, bits, 2 /* num primes */, e_value, cb); +} + const struct rsa_meth_st RSA_default_method = { { 0 /* references */, @@ -955,4 +1151,7 @@ const struct rsa_meth_st RSA_default_method = { RSA_FLAG_CACHE_PUBLIC | RSA_FLAG_CACHE_PRIVATE, keygen, + keygen_multiprime, + + NULL /* supports_digest */, }; diff --git a/src/crypto/rsa/rsa_test.c b/src/crypto/rsa/rsa_test.c deleted file mode 100644 index 318cf3f..0000000 --- a/src/crypto/rsa/rsa_test.c +++ /dev/null @@ -1,511 +0,0 @@ -/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) - * All rights reserved. - * - * This package is an SSL implementation written - * by Eric Young (eay@cryptsoft.com). - * The implementation was written so as to conform with Netscapes SSL. - * - * This library is free for commercial and non-commercial use as long as - * the following conditions are aheared to. The following conditions - * apply to all code found in this distribution, be it the RC4, RSA, - * lhash, DES, etc., code; not just the SSL code. The SSL documentation - * included with this distribution is covered by the same copyright terms - * except that the holder is Tim Hudson (tjh@cryptsoft.com). - * - * Copyright remains Eric Young's, and as such any Copyright notices in - * the code are not to be removed. - * If this package is used in a product, Eric Young should be given attribution - * as the author of the parts of the library used. - * This can be in the form of a textual message at program startup or - * in documentation (online or textual) provided with the package. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions - * are met: - * 1. Redistributions of source code must retain the copyright - * notice, this list of conditions and the following disclaimer. - * 2. Redistributions in binary form must reproduce the above copyright - * notice, this list of conditions and the following disclaimer in the - * documentation and/or other materials provided with the distribution. - * 3. All advertising materials mentioning features or use of this software - * must display the following acknowledgement: - * "This product includes cryptographic software written by - * Eric Young (eay@cryptsoft.com)" - * The word 'cryptographic' can be left out if the rouines from the library - * being used are not cryptographic related :-). - * 4. If you include any Windows specific code (or a derivative thereof) from - * the apps directory (application code) you must include an acknowledgement: - * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" - * - * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND - * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE - * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL - * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS - * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) - * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT - * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY - * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF - * SUCH DAMAGE. - * - * The licence and distribution terms for any publically available version or - * derivative of this code cannot be changed. i.e. this code cannot simply be - * copied and put under another distribution licence - * [including the GNU Public Licence.] */ - -#include <openssl/rsa.h> - -#include <stdlib.h> -#include <string.h> - -#include <openssl/bn.h> -#include <openssl/crypto.h> -#include <openssl/err.h> -#include <openssl/obj.h> - - -#define SetKey \ - key->n = BN_bin2bn(n, sizeof(n) - 1, key->n); \ - key->e = BN_bin2bn(e, sizeof(e) - 1, key->e); \ - key->d = BN_bin2bn(d, sizeof(d) - 1, key->d); \ - key->p = BN_bin2bn(p, sizeof(p) - 1, key->p); \ - key->q = BN_bin2bn(q, sizeof(q) - 1, key->q); \ - key->dmp1 = BN_bin2bn(dmp1, sizeof(dmp1) - 1, key->dmp1); \ - key->dmq1 = BN_bin2bn(dmq1, sizeof(dmq1) - 1, key->dmq1); \ - key->iqmp = BN_bin2bn(iqmp, sizeof(iqmp) - 1, key->iqmp); \ - memcpy(c, ctext_ex, sizeof(ctext_ex) - 1); \ - return (sizeof(ctext_ex) - 1); - -static int key1(RSA *key, unsigned char *c) { - static unsigned char n[] = - "\x00\xAA\x36\xAB\xCE\x88\xAC\xFD\xFF\x55\x52\x3C\x7F\xC4\x52\x3F" - "\x90\xEF\xA0\x0D\xF3\x77\x4A\x25\x9F\x2E\x62\xB4\xC5\xD9\x9C\xB5" - "\xAD\xB3\x00\xA0\x28\x5E\x53\x01\x93\x0E\x0C\x70\xFB\x68\x76\x93" - "\x9C\xE6\x16\xCE\x62\x4A\x11\xE0\x08\x6D\x34\x1E\xBC\xAC\xA0\xA1" - "\xF5"; - - static unsigned char e[] = "\x11"; - - static unsigned char d[] = - "\x0A\x03\x37\x48\x62\x64\x87\x69\x5F\x5F\x30\xBC\x38\xB9\x8B\x44" - "\xC2\xCD\x2D\xFF\x43\x40\x98\xCD\x20\xD8\xA1\x38\xD0\x90\xBF\x64" - "\x79\x7C\x3F\xA7\xA2\xCD\xCB\x3C\xD1\xE0\xBD\xBA\x26\x54\xB4\xF9" - "\xDF\x8E\x8A\xE5\x9D\x73\x3D\x9F\x33\xB3\x01\x62\x4A\xFD\x1D\x51"; - - static unsigned char p[] = - "\x00\xD8\x40\xB4\x16\x66\xB4\x2E\x92\xEA\x0D\xA3\xB4\x32\x04\xB5" - "\xCF\xCE\x33\x52\x52\x4D\x04\x16\xA5\xA4\x41\xE7\x00\xAF\x46\x12" - "\x0D"; - - static unsigned char q[] = - "\x00\xC9\x7F\xB1\xF0\x27\xF4\x53\xF6\x34\x12\x33\xEA\xAA\xD1\xD9" - "\x35\x3F\x6C\x42\xD0\x88\x66\xB1\xD0\x5A\x0F\x20\x35\x02\x8B\x9D" - "\x89"; - - static unsigned char dmp1[] = - "\x59\x0B\x95\x72\xA2\xC2\xA9\xC4\x06\x05\x9D\xC2\xAB\x2F\x1D\xAF" - "\xEB\x7E\x8B\x4F\x10\xA7\x54\x9E\x8E\xED\xF5\xB4\xFC\xE0\x9E\x05"; - - static unsigned char dmq1[] = - "\x00\x8E\x3C\x05\x21\xFE\x15\xE0\xEA\x06\xA3\x6F\xF0\xF1\x0C\x99" - "\x52\xC3\x5B\x7A\x75\x14\xFD\x32\x38\xB8\x0A\xAD\x52\x98\x62\x8D" - "\x51"; - - static unsigned char iqmp[] = - "\x36\x3F\xF7\x18\x9D\xA8\xE9\x0B\x1D\x34\x1F\x71\xD0\x9B\x76\xA8" - "\xA9\x43\xE1\x1D\x10\xB2\x4D\x24\x9F\x2D\xEA\xFE\xF8\x0C\x18\x26"; - - static unsigned char ctext_ex[] = - "\x1b\x8f\x05\xf9\xca\x1a\x79\x52\x6e\x53\xf3\xcc\x51\x4f\xdb\x89" - "\x2b\xfb\x91\x93\x23\x1e\x78\xb9\x92\xe6\x8d\x50\xa4\x80\xcb\x52" - "\x33\x89\x5c\x74\x95\x8d\x5d\x02\xab\x8c\x0f\xd0\x40\xeb\x58\x44" - "\xb0\x05\xc3\x9e\xd8\x27\x4a\x9d\xbf\xa8\x06\x71\x40\x94\x39\xd2"; - - SetKey; -} - -static int key2(RSA *key, unsigned char *c) { - static unsigned char n[] = - "\x00\xA3\x07\x9A\x90\xDF\x0D\xFD\x72\xAC\x09\x0C\xCC\x2A\x78\xB8" - "\x74\x13\x13\x3E\x40\x75\x9C\x98\xFA\xF8\x20\x4F\x35\x8A\x0B\x26" - "\x3C\x67\x70\xE7\x83\xA9\x3B\x69\x71\xB7\x37\x79\xD2\x71\x7B\xE8" - "\x34\x77\xCF"; - - static unsigned char e[] = "\x3"; - - static unsigned char d[] = - "\x6C\xAF\xBC\x60\x94\xB3\xFE\x4C\x72\xB0\xB3\x32\xC6\xFB\x25\xA2" - "\xB7\x62\x29\x80\x4E\x68\x65\xFC\xA4\x5A\x74\xDF\x0F\x8F\xB8\x41" - "\x3B\x52\xC0\xD0\xE5\x3D\x9B\x59\x0F\xF1\x9B\xE7\x9F\x49\xDD\x21" - "\xE5\xEB"; - - static unsigned char p[] = - "\x00\xCF\x20\x35\x02\x8B\x9D\x86\x98\x40\xB4\x16\x66\xB4\x2E\x92" - "\xEA\x0D\xA3\xB4\x32\x04\xB5\xCF\xCE\x91"; - - static unsigned char q[] = - "\x00\xC9\x7F\xB1\xF0\x27\xF4\x53\xF6\x34\x12\x33\xEA\xAA\xD1\xD9" - "\x35\x3F\x6C\x42\xD0\x88\x66\xB1\xD0\x5F"; - - static unsigned char dmp1[] = - "\x00\x8A\x15\x78\xAC\x5D\x13\xAF\x10\x2B\x22\xB9\x99\xCD\x74\x61" - "\xF1\x5E\x6D\x22\xCC\x03\x23\xDF\xDF\x0B"; - - static unsigned char dmq1[] = - "\x00\x86\x55\x21\x4A\xC5\x4D\x8D\x4E\xCD\x61\x77\xF1\xC7\x36\x90" - "\xCE\x2A\x48\x2C\x8B\x05\x99\xCB\xE0\x3F"; - - static unsigned char iqmp[] = - "\x00\x83\xEF\xEF\xB8\xA9\xA4\x0D\x1D\xB6\xED\x98\xAD\x84\xED\x13" - "\x35\xDC\xC1\x08\xF3\x22\xD0\x57\xCF\x8D"; - - static unsigned char ctext_ex[] = - "\x14\xbd\xdd\x28\xc9\x83\x35\x19\x23\x80\xe8\xe5\x49\xb1\x58\x2a" - "\x8b\x40\xb4\x48\x6d\x03\xa6\xa5\x31\x1f\x1f\xd5\xf0\xa1\x80\xe4" - "\x17\x53\x03\x29\xa9\x34\x90\x74\xb1\x52\x13\x54\x29\x08\x24\x52" - "\x62\x51"; - - SetKey; -} - -static int key3(RSA *key, unsigned char *c) { - static unsigned char n[] = - "\x00\xBB\xF8\x2F\x09\x06\x82\xCE\x9C\x23\x38\xAC\x2B\x9D\xA8\x71" - "\xF7\x36\x8D\x07\xEE\xD4\x10\x43\xA4\x40\xD6\xB6\xF0\x74\x54\xF5" - "\x1F\xB8\xDF\xBA\xAF\x03\x5C\x02\xAB\x61\xEA\x48\xCE\xEB\x6F\xCD" - "\x48\x76\xED\x52\x0D\x60\xE1\xEC\x46\x19\x71\x9D\x8A\x5B\x8B\x80" - "\x7F\xAF\xB8\xE0\xA3\xDF\xC7\x37\x72\x3E\xE6\xB4\xB7\xD9\x3A\x25" - "\x84\xEE\x6A\x64\x9D\x06\x09\x53\x74\x88\x34\xB2\x45\x45\x98\x39" - "\x4E\xE0\xAA\xB1\x2D\x7B\x61\xA5\x1F\x52\x7A\x9A\x41\xF6\xC1\x68" - "\x7F\xE2\x53\x72\x98\xCA\x2A\x8F\x59\x46\xF8\xE5\xFD\x09\x1D\xBD" - "\xCB"; - - static unsigned char e[] = "\x11"; - - static unsigned char d[] = - "\x00\xA5\xDA\xFC\x53\x41\xFA\xF2\x89\xC4\xB9\x88\xDB\x30\xC1\xCD" - "\xF8\x3F\x31\x25\x1E\x06\x68\xB4\x27\x84\x81\x38\x01\x57\x96\x41" - "\xB2\x94\x10\xB3\xC7\x99\x8D\x6B\xC4\x65\x74\x5E\x5C\x39\x26\x69" - "\xD6\x87\x0D\xA2\xC0\x82\xA9\x39\xE3\x7F\xDC\xB8\x2E\xC9\x3E\xDA" - "\xC9\x7F\xF3\xAD\x59\x50\xAC\xCF\xBC\x11\x1C\x76\xF1\xA9\x52\x94" - "\x44\xE5\x6A\xAF\x68\xC5\x6C\x09\x2C\xD3\x8D\xC3\xBE\xF5\xD2\x0A" - "\x93\x99\x26\xED\x4F\x74\xA1\x3E\xDD\xFB\xE1\xA1\xCE\xCC\x48\x94" - "\xAF\x94\x28\xC2\xB7\xB8\x88\x3F\xE4\x46\x3A\x4B\xC8\x5B\x1C\xB3" - "\xC1"; - - static unsigned char p[] = - "\x00\xEE\xCF\xAE\x81\xB1\xB9\xB3\xC9\x08\x81\x0B\x10\xA1\xB5\x60" - "\x01\x99\xEB\x9F\x44\xAE\xF4\xFD\xA4\x93\xB8\x1A\x9E\x3D\x84\xF6" - "\x32\x12\x4E\xF0\x23\x6E\x5D\x1E\x3B\x7E\x28\xFA\xE7\xAA\x04\x0A" - "\x2D\x5B\x25\x21\x76\x45\x9D\x1F\x39\x75\x41\xBA\x2A\x58\xFB\x65" - "\x99"; - - static unsigned char q[] = - "\x00\xC9\x7F\xB1\xF0\x27\xF4\x53\xF6\x34\x12\x33\xEA\xAA\xD1\xD9" - "\x35\x3F\x6C\x42\xD0\x88\x66\xB1\xD0\x5A\x0F\x20\x35\x02\x8B\x9D" - "\x86\x98\x40\xB4\x16\x66\xB4\x2E\x92\xEA\x0D\xA3\xB4\x32\x04\xB5" - "\xCF\xCE\x33\x52\x52\x4D\x04\x16\xA5\xA4\x41\xE7\x00\xAF\x46\x15" - "\x03"; - - static unsigned char dmp1[] = - "\x54\x49\x4C\xA6\x3E\xBA\x03\x37\xE4\xE2\x40\x23\xFC\xD6\x9A\x5A" - "\xEB\x07\xDD\xDC\x01\x83\xA4\xD0\xAC\x9B\x54\xB0\x51\xF2\xB1\x3E" - "\xD9\x49\x09\x75\xEA\xB7\x74\x14\xFF\x59\xC1\xF7\x69\x2E\x9A\x2E" - "\x20\x2B\x38\xFC\x91\x0A\x47\x41\x74\xAD\xC9\x3C\x1F\x67\xC9\x81"; - - static unsigned char dmq1[] = - "\x47\x1E\x02\x90\xFF\x0A\xF0\x75\x03\x51\xB7\xF8\x78\x86\x4C\xA9" - "\x61\xAD\xBD\x3A\x8A\x7E\x99\x1C\x5C\x05\x56\xA9\x4C\x31\x46\xA7" - "\xF9\x80\x3F\x8F\x6F\x8A\xE3\x42\xE9\x31\xFD\x8A\xE4\x7A\x22\x0D" - "\x1B\x99\xA4\x95\x84\x98\x07\xFE\x39\xF9\x24\x5A\x98\x36\xDA\x3D"; - - static unsigned char iqmp[] = - "\x00\xB0\x6C\x4F\xDA\xBB\x63\x01\x19\x8D\x26\x5B\xDB\xAE\x94\x23" - "\xB3\x80\xF2\x71\xF7\x34\x53\x88\x50\x93\x07\x7F\xCD\x39\xE2\x11" - "\x9F\xC9\x86\x32\x15\x4F\x58\x83\xB1\x67\xA9\x67\xBF\x40\x2B\x4E" - "\x9E\x2E\x0F\x96\x56\xE6\x98\xEA\x36\x66\xED\xFB\x25\x79\x80\x39" - "\xF7"; - - static unsigned char ctext_ex[] = - "\xb8\x24\x6b\x56\xa6\xed\x58\x81\xae\xb5\x85\xd9\xa2\x5b\x2a\xd7" - "\x90\xc4\x17\xe0\x80\x68\x1b\xf1\xac\x2b\xc3\xde\xb6\x9d\x8b\xce" - "\xf0\xc4\x36\x6f\xec\x40\x0a\xf0\x52\xa7\x2e\x9b\x0e\xff\xb5\xb3" - "\xf2\xf1\x92\xdb\xea\xca\x03\xc1\x27\x40\x05\x71\x13\xbf\x1f\x06" - "\x69\xac\x22\xe9\xf3\xa7\x85\x2e\x3c\x15\xd9\x13\xca\xb0\xb8\x86" - "\x3a\x95\xc9\x92\x94\xce\x86\x74\x21\x49\x54\x61\x03\x46\xf4\xd4" - "\x74\xb2\x6f\x7c\x48\xb4\x2e\xe6\x8e\x1f\x57\x2a\x1f\xc4\x02\x6a" - "\xc4\x56\xb4\xf5\x9f\x7b\x62\x1e\xa1\xb9\xd8\x8f\x64\x20\x2f\xb1"; - - SetKey; -} - -static int test_bad_key(void) { - RSA *key = RSA_new(); - BIGNUM e; - - BN_init(&e); - BN_set_word(&e, RSA_F4); - - if (!RSA_generate_key_ex(key, 512, &e, NULL)) { - fprintf(stderr, "RSA_generate_key_ex failed.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (!BN_add(key->p, key->p, BN_value_one())) { - fprintf(stderr, "BN error.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (RSA_check_key(key)) { - fprintf(stderr, "RSA_check_key passed with invalid key!\n"); - return 0; - } - - ERR_clear_error(); - BN_free(&e); - RSA_free(key); - return 1; -} - -static int test_only_d_given(void) { - RSA *key = RSA_new(); - uint8_t buf[64]; - unsigned buf_len = sizeof(buf); - const uint8_t kDummyHash[16] = {0}; - int ret = 0; - - if (!BN_hex2bn(&key->n, - "00e77bbf3889d4ef36a9a25d4d69f3f632eb4362214c74517da6d6aeaa9bd" - "09ac42b26621cd88f3a6eb013772fc3bf9f83914b6467231c630202c35b3e" - "5808c659") || - !BN_hex2bn(&key->e, "010001") || - !BN_hex2bn(&key->d, - "0365db9eb6d73b53b015c40cd8db4de7dd7035c68b5ac1bf786d7a4ee2cea" - "316eaeca21a73ac365e58713195f2ae9849348525ca855386b6d028e437a9" - "495a01") || - RSA_size(key) > sizeof(buf)) { - goto err; - } - - if (!RSA_check_key(key)) { - fprintf(stderr, "RSA_check_key failed with only d given.\n"); - ERR_print_errors_fp(stderr); - goto err; - } - - if (!RSA_sign(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, &buf_len, - key)) { - fprintf(stderr, "RSA_sign failed with only d given.\n"); - ERR_print_errors_fp(stderr); - goto err; - } - - if (!RSA_verify(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, buf_len, - key)) { - fprintf(stderr, "RSA_verify failed with only d given.\n"); - ERR_print_errors_fp(stderr); - goto err; - } - - ret = 1; - -err: - RSA_free(key); - return ret; -} - -static int test_recover_crt_params(void) { - RSA *key1, *key2; - BIGNUM *e = BN_new(); - uint8_t buf[128]; - unsigned buf_len = sizeof(buf); - const uint8_t kDummyHash[16] = {0}; - unsigned i; - - BN_set_word(e, RSA_F4); - - ERR_clear_error(); - - for (i = 0; i < 1; i++) { - key1 = RSA_new(); - if (!RSA_generate_key_ex(key1, 512, e, NULL)) { - fprintf(stderr, "RSA_generate_key_ex failed.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (!RSA_check_key(key1)) { - fprintf(stderr, "RSA_check_key failed with original key.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - key2 = RSA_new(); - key2->n = BN_dup(key1->n); - key2->e = BN_dup(key1->e); - key2->d = BN_dup(key1->d); - RSA_free(key1); - - if (!RSA_recover_crt_params(key2)) { - fprintf(stderr, "RSA_recover_crt_params failed.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (RSA_size(key2) > buf_len) { - return 0; - } - - if (!RSA_check_key(key2)) { - fprintf(stderr, "RSA_check_key failed with recovered key.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (!RSA_sign(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, &buf_len, - key2)) { - fprintf(stderr, "RSA_sign failed with recovered key.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - if (!RSA_verify(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, buf_len, - key2)) { - fprintf(stderr, "RSA_verify failed with recovered key.\n"); - ERR_print_errors_fp(stderr); - return 0; - } - - RSA_free(key2); - } - - BN_free(e); - return 1; -} - -int main(int argc, char *argv[]) { - int err = 0; - int v; - RSA *key; - unsigned char ptext[256]; - unsigned char ctext[256]; - static unsigned char ptext_ex[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a"; - unsigned char ctext_ex[256]; - int plen; - int clen = 0; - int num; - int n; - - CRYPTO_library_init(); - - plen = sizeof(ptext_ex) - 1; - - for (v = 0; v < 3; v++) { - key = RSA_new(); - switch (v) { - case 0: - clen = key1(key, ctext_ex); - break; - case 1: - clen = key2(key, ctext_ex); - break; - case 2: - clen = key3(key, ctext_ex); - break; - default: - abort(); - } - - if (!RSA_check_key(key)) { - printf("%d: RSA_check_key failed\n", v); - err = 1; - goto oaep; - } - - num = RSA_public_encrypt(plen, ptext_ex, ctext, key, RSA_PKCS1_PADDING); - if (num != clen) { - printf("PKCS#1 v1.5 encryption failed!\n"); - err = 1; - goto oaep; - } - - num = RSA_private_decrypt(num, ctext, ptext, key, RSA_PKCS1_PADDING); - if (num != plen || memcmp(ptext, ptext_ex, num) != 0) { - printf("PKCS#1 v1.5 decryption failed!\n"); - err = 1; - } else { - printf("PKCS #1 v1.5 encryption/decryption ok\n"); - } - - oaep: - ERR_clear_error(); - num = - RSA_public_encrypt(plen, ptext_ex, ctext, key, RSA_PKCS1_OAEP_PADDING); - if (num == -1) { - printf("No OAEP support\n"); - goto next; - } - if (num != clen) { - printf("OAEP encryption failed!\n"); - err = 1; - goto next; - } - - num = RSA_private_decrypt(num, ctext, ptext, key, RSA_PKCS1_OAEP_PADDING); - if (num != plen || memcmp(ptext, ptext_ex, num) != 0) { - printf("OAEP decryption (encrypted data) failed!\n"); - err = 1; - } else if (memcmp(ctext, ctext_ex, num) == 0) { - printf("OAEP test vector %d passed!\n", v); - } - - /* Different ciphertexts (rsa_oaep.c without -DPKCS_TESTVECT). - Try decrypting ctext_ex */ - - num = - RSA_private_decrypt(clen, ctext_ex, ptext, key, RSA_PKCS1_OAEP_PADDING); - - if (num != plen || memcmp(ptext, ptext_ex, num) != 0) { - printf("OAEP decryption (test vector data) failed!\n"); - err = 1; - } else { - printf("OAEP encryption/decryption ok\n"); - } - - /* Try decrypting corrupted ciphertexts */ - for (n = 0; n < clen; ++n) { - int b; - unsigned char saved = ctext[n]; - for (b = 0; b < 256; ++b) { - if (b == saved) { - continue; - } - ctext[n] = b; - num = - RSA_private_decrypt(num, ctext, ptext, key, RSA_PKCS1_OAEP_PADDING); - if (num > 0) { - printf("Corrupt data decrypted!\n"); - err = 1; - } - } - } - - next: - RSA_free(key); - } - - if (err != 0 || - !test_only_d_given() || - !test_recover_crt_params() || - !test_bad_key()) { - err = 1; - } - - if (err == 0) { - printf("PASS\n"); - } - return err; -} diff --git a/src/crypto/rsa/rsa_test.cc b/src/crypto/rsa/rsa_test.cc new file mode 100644 index 0000000..d52b78b --- /dev/null +++ b/src/crypto/rsa/rsa_test.cc @@ -0,0 +1,869 @@ +/* Copyright (C) 1995-1998 Eric Young (eay@cryptsoft.com) + * All rights reserved. + * + * This package is an SSL implementation written + * by Eric Young (eay@cryptsoft.com). + * The implementation was written so as to conform with Netscapes SSL. + * + * This library is free for commercial and non-commercial use as long as + * the following conditions are aheared to. The following conditions + * apply to all code found in this distribution, be it the RC4, RSA, + * lhash, DES, etc., code; not just the SSL code. The SSL documentation + * included with this distribution is covered by the same copyright terms + * except that the holder is Tim Hudson (tjh@cryptsoft.com). + * + * Copyright remains Eric Young's, and as such any Copyright notices in + * the code are not to be removed. + * If this package is used in a product, Eric Young should be given attribution + * as the author of the parts of the library used. + * This can be in the form of a textual message at program startup or + * in documentation (online or textual) provided with the package. + * + * Redistribution and use in source and binary forms, with or without + * modification, are permitted provided that the following conditions + * are met: + * 1. Redistributions of source code must retain the copyright + * notice, this list of conditions and the following disclaimer. + * 2. Redistributions in binary form must reproduce the above copyright + * notice, this list of conditions and the following disclaimer in the + * documentation and/or other materials provided with the distribution. + * 3. All advertising materials mentioning features or use of this software + * must display the following acknowledgement: + * "This product includes cryptographic software written by + * Eric Young (eay@cryptsoft.com)" + * The word 'cryptographic' can be left out if the rouines from the library + * being used are not cryptographic related :-). + * 4. If you include any Windows specific code (or a derivative thereof) from + * the apps directory (application code) you must include an acknowledgement: + * "This product includes software written by Tim Hudson (tjh@cryptsoft.com)" + * + * THIS SOFTWARE IS PROVIDED BY ERIC YOUNG ``AS IS'' AND + * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE + * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE + * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHOR OR CONTRIBUTORS BE LIABLE + * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL + * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS + * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) + * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT + * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY + * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF + * SUCH DAMAGE. + * + * The licence and distribution terms for any publically available version or + * derivative of this code cannot be changed. i.e. this code cannot simply be + * copied and put under another distribution licence + * [including the GNU Public Licence.] */ + +#include <openssl/rsa.h> + +#include <stdlib.h> +#include <string.h> + +#include <openssl/bn.h> +#include <openssl/bytestring.h> +#include <openssl/crypto.h> +#include <openssl/err.h> +#include <openssl/obj.h> + +#include "../test/scoped_types.h" + + +// kPlaintext is a sample plaintext. +static const uint8_t kPlaintext[] = "\x54\x85\x9b\x34\x2c\x49\xea\x2a"; +static const size_t kPlaintextLen = sizeof(kPlaintext) - 1; + +// kKey1 is a DER-encoded RSAPrivateKey. +static const uint8_t kKey1[] = + "\x30\x82\x01\x38\x02\x01\x00\x02\x41\x00\xaa\x36\xab\xce\x88\xac\xfd\xff" + "\x55\x52\x3c\x7f\xc4\x52\x3f\x90\xef\xa0\x0d\xf3\x77\x4a\x25\x9f\x2e\x62" + "\xb4\xc5\xd9\x9c\xb5\xad\xb3\x00\xa0\x28\x5e\x53\x01\x93\x0e\x0c\x70\xfb" + "\x68\x76\x93\x9c\xe6\x16\xce\x62\x4a\x11\xe0\x08\x6d\x34\x1e\xbc\xac\xa0" + "\xa1\xf5\x02\x01\x11\x02\x40\x0a\x03\x37\x48\x62\x64\x87\x69\x5f\x5f\x30" + "\xbc\x38\xb9\x8b\x44\xc2\xcd\x2d\xff\x43\x40\x98\xcd\x20\xd8\xa1\x38\xd0" + "\x90\xbf\x64\x79\x7c\x3f\xa7\xa2\xcd\xcb\x3c\xd1\xe0\xbd\xba\x26\x54\xb4" + "\xf9\xdf\x8e\x8a\xe5\x9d\x73\x3d\x9f\x33\xb3\x01\x62\x4a\xfd\x1d\x51\x02" + "\x21\x00\xd8\x40\xb4\x16\x66\xb4\x2e\x92\xea\x0d\xa3\xb4\x32\x04\xb5\xcf" + "\xce\x33\x52\x52\x4d\x04\x16\xa5\xa4\x41\xe7\x00\xaf\x46\x12\x0d\x02\x21" + "\x00\xc9\x7f\xb1\xf0\x27\xf4\x53\xf6\x34\x12\x33\xea\xaa\xd1\xd9\x35\x3f" + "\x6c\x42\xd0\x88\x66\xb1\xd0\x5a\x0f\x20\x35\x02\x8b\x9d\x89\x02\x20\x59" + "\x0b\x95\x72\xa2\xc2\xa9\xc4\x06\x05\x9d\xc2\xab\x2f\x1d\xaf\xeb\x7e\x8b" + "\x4f\x10\xa7\x54\x9e\x8e\xed\xf5\xb4\xfc\xe0\x9e\x05\x02\x21\x00\x8e\x3c" + "\x05\x21\xfe\x15\xe0\xea\x06\xa3\x6f\xf0\xf1\x0c\x99\x52\xc3\x5b\x7a\x75" + "\x14\xfd\x32\x38\xb8\x0a\xad\x52\x98\x62\x8d\x51\x02\x20\x36\x3f\xf7\x18" + "\x9d\xa8\xe9\x0b\x1d\x34\x1f\x71\xd0\x9b\x76\xa8\xa9\x43\xe1\x1d\x10\xb2" + "\x4d\x24\x9f\x2d\xea\xfe\xf8\x0c\x18\x26"; + +// kOAEPCiphertext1 is a sample encryption of |kPlaintext| with |kKey1| using +// RSA OAEP. +static const uint8_t kOAEPCiphertext1[] = + "\x1b\x8f\x05\xf9\xca\x1a\x79\x52\x6e\x53\xf3\xcc\x51\x4f\xdb\x89\x2b\xfb" + "\x91\x93\x23\x1e\x78\xb9\x92\xe6\x8d\x50\xa4\x80\xcb\x52\x33\x89\x5c\x74" + "\x95\x8d\x5d\x02\xab\x8c\x0f\xd0\x40\xeb\x58\x44\xb0\x05\xc3\x9e\xd8\x27" + "\x4a\x9d\xbf\xa8\x06\x71\x40\x94\x39\xd2"; + +// kKey2 is a DER-encoded RSAPrivateKey. +static const uint8_t kKey2[] = + "\x30\x81\xfb\x02\x01\x00\x02\x33\x00\xa3\x07\x9a\x90\xdf\x0d\xfd\x72\xac" + "\x09\x0c\xcc\x2a\x78\xb8\x74\x13\x13\x3e\x40\x75\x9c\x98\xfa\xf8\x20\x4f" + "\x35\x8a\x0b\x26\x3c\x67\x70\xe7\x83\xa9\x3b\x69\x71\xb7\x37\x79\xd2\x71" + "\x7b\xe8\x34\x77\xcf\x02\x01\x03\x02\x32\x6c\xaf\xbc\x60\x94\xb3\xfe\x4c" + "\x72\xb0\xb3\x32\xc6\xfb\x25\xa2\xb7\x62\x29\x80\x4e\x68\x65\xfc\xa4\x5a" + "\x74\xdf\x0f\x8f\xb8\x41\x3b\x52\xc0\xd0\xe5\x3d\x9b\x59\x0f\xf1\x9b\xe7" + "\x9f\x49\xdd\x21\xe5\xeb\x02\x1a\x00\xcf\x20\x35\x02\x8b\x9d\x86\x98\x40" + "\xb4\x16\x66\xb4\x2e\x92\xea\x0d\xa3\xb4\x32\x04\xb5\xcf\xce\x91\x02\x1a" + "\x00\xc9\x7f\xb1\xf0\x27\xf4\x53\xf6\x34\x12\x33\xea\xaa\xd1\xd9\x35\x3f" + "\x6c\x42\xd0\x88\x66\xb1\xd0\x5f\x02\x1a\x00\x8a\x15\x78\xac\x5d\x13\xaf" + "\x10\x2b\x22\xb9\x99\xcd\x74\x61\xf1\x5e\x6d\x22\xcc\x03\x23\xdf\xdf\x0b" + "\x02\x1a\x00\x86\x55\x21\x4a\xc5\x4d\x8d\x4e\xcd\x61\x77\xf1\xc7\x36\x90" + "\xce\x2a\x48\x2c\x8b\x05\x99\xcb\xe0\x3f\x02\x1a\x00\x83\xef\xef\xb8\xa9" + "\xa4\x0d\x1d\xb6\xed\x98\xad\x84\xed\x13\x35\xdc\xc1\x08\xf3\x22\xd0\x57" + "\xcf\x8d"; + +// kOAEPCiphertext2 is a sample encryption of |kPlaintext| with |kKey2| using +// RSA OAEP. +static const uint8_t kOAEPCiphertext2[] = + "\x14\xbd\xdd\x28\xc9\x83\x35\x19\x23\x80\xe8\xe5\x49\xb1\x58\x2a\x8b\x40" + "\xb4\x48\x6d\x03\xa6\xa5\x31\x1f\x1f\xd5\xf0\xa1\x80\xe4\x17\x53\x03\x29" + "\xa9\x34\x90\x74\xb1\x52\x13\x54\x29\x08\x24\x52\x62\x51"; + +// kKey3 is a DER-encoded RSAPrivateKey. +static const uint8_t kKey3[] = + "\x30\x82\x02\x5b\x02\x01\x00\x02\x81\x81\x00\xbb\xf8\x2f\x09\x06\x82\xce" + "\x9c\x23\x38\xac\x2b\x9d\xa8\x71\xf7\x36\x8d\x07\xee\xd4\x10\x43\xa4\x40" + "\xd6\xb6\xf0\x74\x54\xf5\x1f\xb8\xdf\xba\xaf\x03\x5c\x02\xab\x61\xea\x48" + "\xce\xeb\x6f\xcd\x48\x76\xed\x52\x0d\x60\xe1\xec\x46\x19\x71\x9d\x8a\x5b" + "\x8b\x80\x7f\xaf\xb8\xe0\xa3\xdf\xc7\x37\x72\x3e\xe6\xb4\xb7\xd9\x3a\x25" + "\x84\xee\x6a\x64\x9d\x06\x09\x53\x74\x88\x34\xb2\x45\x45\x98\x39\x4e\xe0" + "\xaa\xb1\x2d\x7b\x61\xa5\x1f\x52\x7a\x9a\x41\xf6\xc1\x68\x7f\xe2\x53\x72" + "\x98\xca\x2a\x8f\x59\x46\xf8\xe5\xfd\x09\x1d\xbd\xcb\x02\x01\x11\x02\x81" + "\x81\x00\xa5\xda\xfc\x53\x41\xfa\xf2\x89\xc4\xb9\x88\xdb\x30\xc1\xcd\xf8" + "\x3f\x31\x25\x1e\x06\x68\xb4\x27\x84\x81\x38\x01\x57\x96\x41\xb2\x94\x10" + "\xb3\xc7\x99\x8d\x6b\xc4\x65\x74\x5e\x5c\x39\x26\x69\xd6\x87\x0d\xa2\xc0" + "\x82\xa9\x39\xe3\x7f\xdc\xb8\x2e\xc9\x3e\xda\xc9\x7f\xf3\xad\x59\x50\xac" + "\xcf\xbc\x11\x1c\x76\xf1\xa9\x52\x94\x44\xe5\x6a\xaf\x68\xc5\x6c\x09\x2c" + "\xd3\x8d\xc3\xbe\xf5\xd2\x0a\x93\x99\x26\xed\x4f\x74\xa1\x3e\xdd\xfb\xe1" + "\xa1\xce\xcc\x48\x94\xaf\x94\x28\xc2\xb7\xb8\x88\x3f\xe4\x46\x3a\x4b\xc8" + "\x5b\x1c\xb3\xc1\x02\x41\x00\xee\xcf\xae\x81\xb1\xb9\xb3\xc9\x08\x81\x0b" + "\x10\xa1\xb5\x60\x01\x99\xeb\x9f\x44\xae\xf4\xfd\xa4\x93\xb8\x1a\x9e\x3d" + "\x84\xf6\x32\x12\x4e\xf0\x23\x6e\x5d\x1e\x3b\x7e\x28\xfa\xe7\xaa\x04\x0a" + "\x2d\x5b\x25\x21\x76\x45\x9d\x1f\x39\x75\x41\xba\x2a\x58\xfb\x65\x99\x02" + "\x41\x00\xc9\x7f\xb1\xf0\x27\xf4\x53\xf6\x34\x12\x33\xea\xaa\xd1\xd9\x35" + "\x3f\x6c\x42\xd0\x88\x66\xb1\xd0\x5a\x0f\x20\x35\x02\x8b\x9d\x86\x98\x40" + "\xb4\x16\x66\xb4\x2e\x92\xea\x0d\xa3\xb4\x32\x04\xb5\xcf\xce\x33\x52\x52" + "\x4d\x04\x16\xa5\xa4\x41\xe7\x00\xaf\x46\x15\x03\x02\x40\x54\x49\x4c\xa6" + "\x3e\xba\x03\x37\xe4\xe2\x40\x23\xfc\xd6\x9a\x5a\xeb\x07\xdd\xdc\x01\x83" + "\xa4\xd0\xac\x9b\x54\xb0\x51\xf2\xb1\x3e\xd9\x49\x09\x75\xea\xb7\x74\x14" + "\xff\x59\xc1\xf7\x69\x2e\x9a\x2e\x20\x2b\x38\xfc\x91\x0a\x47\x41\x74\xad" + "\xc9\x3c\x1f\x67\xc9\x81\x02\x40\x47\x1e\x02\x90\xff\x0a\xf0\x75\x03\x51" + "\xb7\xf8\x78\x86\x4c\xa9\x61\xad\xbd\x3a\x8a\x7e\x99\x1c\x5c\x05\x56\xa9" + "\x4c\x31\x46\xa7\xf9\x80\x3f\x8f\x6f\x8a\xe3\x42\xe9\x31\xfd\x8a\xe4\x7a" + "\x22\x0d\x1b\x99\xa4\x95\x84\x98\x07\xfe\x39\xf9\x24\x5a\x98\x36\xda\x3d" + "\x02\x41\x00\xb0\x6c\x4f\xda\xbb\x63\x01\x19\x8d\x26\x5b\xdb\xae\x94\x23" + "\xb3\x80\xf2\x71\xf7\x34\x53\x88\x50\x93\x07\x7f\xcd\x39\xe2\x11\x9f\xc9" + "\x86\x32\x15\x4f\x58\x83\xb1\x67\xa9\x67\xbf\x40\x2b\x4e\x9e\x2e\x0f\x96" + "\x56\xe6\x98\xea\x36\x66\xed\xfb\x25\x79\x80\x39\xf7"; + +// kOAEPCiphertext3 is a sample encryption of |kPlaintext| with |kKey3| using +// RSA OAEP. +static const uint8_t kOAEPCiphertext3[] = + "\xb8\x24\x6b\x56\xa6\xed\x58\x81\xae\xb5\x85\xd9\xa2\x5b\x2a\xd7\x90\xc4" + "\x17\xe0\x80\x68\x1b\xf1\xac\x2b\xc3\xde\xb6\x9d\x8b\xce\xf0\xc4\x36\x6f" + "\xec\x40\x0a\xf0\x52\xa7\x2e\x9b\x0e\xff\xb5\xb3\xf2\xf1\x92\xdb\xea\xca" + "\x03\xc1\x27\x40\x05\x71\x13\xbf\x1f\x06\x69\xac\x22\xe9\xf3\xa7\x85\x2e" + "\x3c\x15\xd9\x13\xca\xb0\xb8\x86\x3a\x95\xc9\x92\x94\xce\x86\x74\x21\x49" + "\x54\x61\x03\x46\xf4\xd4\x74\xb2\x6f\x7c\x48\xb4\x2e\xe6\x8e\x1f\x57\x2a" + "\x1f\xc4\x02\x6a\xc4\x56\xb4\xf5\x9f\x7b\x62\x1e\xa1\xb9\xd8\x8f\x64\x20" + "\x2f\xb1"; + +static const uint8_t kTwoPrimeKey[] = + "\x30\x82\x04\xa1\x02\x01\x00\x02\x82\x01\x01\x00\x93\x3a\x4f\xc9\x6a\x0a" + "\x6b\x28\x04\xfa\xb7\x05\x56\xdf\xa0\xaa\x4f\xaa\xab\x94\xa0\xa9\x25\xef" + "\xc5\x96\xd2\xd4\x66\x16\x62\x2c\x13\x7b\x91\xd0\x36\x0a\x10\x11\x6d\x7a" + "\x91\xb6\xe4\x74\x57\xc1\x3d\x7a\xbe\x24\x05\x3a\x04\x0b\x73\x91\x53\xb1" + "\x74\x10\xe1\x87\xdc\x91\x28\x9c\x1e\xe5\xf2\xb9\xfc\xa2\x48\x34\xb6\x78" + "\xed\x6d\x95\xfb\xf2\xc0\x4e\x1c\xa4\x15\x00\x3c\x8a\x68\x2b\xd6\xce\xd5" + "\xb3\x9f\x66\x02\xa7\x0d\x08\xa3\x23\x9b\xe5\x36\x96\x13\x22\xf9\x69\xa6" + "\x87\x88\x9b\x85\x3f\x83\x9c\xab\x1a\x1b\x6d\x8d\x16\xf4\x5e\xbd\xee\x4b" + "\x59\x56\xf8\x9d\x58\xcd\xd2\x83\x85\x59\x43\x84\x63\x4f\xe6\x1a\x86\x66" + "\x0d\xb5\xa0\x87\x89\xb6\x13\x82\x43\xda\x34\x92\x3b\x68\xc4\x95\x71\x2f" + "\x15\xc2\xe0\x43\x67\x3c\x08\x00\x36\x10\xc3\xb4\x46\x4c\x4e\x6e\xf5\x44" + "\xa9\x04\x44\x9d\xce\xc7\x05\x79\xee\x11\xcf\xaf\x2c\xd7\x9a\x32\xd3\xa5" + "\x30\xd4\x3a\x78\x43\x37\x74\x22\x90\x24\x04\x11\xd7\x95\x08\x52\xa4\x71" + "\x41\x68\x94\xb0\xa0\xc3\xec\x4e\xd2\xc4\x30\x71\x98\x64\x9c\xe3\x7c\x76" + "\xef\x33\xa3\x2b\xb1\x87\x63\xd2\x5c\x09\xfc\x90\x2d\x92\xf4\x57\x02\x01" + "\x03\x02\x82\x01\x00\x62\x26\xdf\xdb\x9c\x06\xf2\x1a\xad\xfc\x7a\x03\x8f" + "\x3f\xc0\x71\x8a\x71\xc7\xb8\x6b\x1b\x6e\x9f\xd9\x0f\x37\x38\x44\x0e\xec" + "\x1d\x62\x52\x61\x35\x79\x5c\x0a\xb6\x48\xfc\x61\x24\x98\x4d\x8f\xd6\x28" + "\xfc\x7e\xc2\xae\x26\xad\x5c\xf7\xb6\x37\xcb\xa2\xb5\xeb\xaf\xe8\x60\xc5" + "\xbd\x69\xee\xa1\xd1\x53\x16\xda\xcd\xce\xfb\x48\xf3\xb9\x52\xa1\xd5\x89" + "\x68\x6d\x63\x55\x7d\xb1\x9a\xc7\xe4\x89\xe3\xcd\x14\xee\xac\x6f\x5e\x05" + "\xc2\x17\xbd\x43\x79\xb9\x62\x17\x50\xf1\x19\xaf\xb0\x67\xae\x2a\x57\xbd" + "\xc7\x66\xbc\xf3\xb3\x64\xa1\xe3\x16\x74\x9e\xea\x02\x5c\xab\x94\xd8\x97" + "\x02\x42\x0c\x2c\xba\x54\xb9\xaf\xe0\x45\x93\xad\x7f\xb3\x10\x6a\x96\x50" + "\x4b\xaf\xcf\xc8\x27\x62\x2d\x83\xe9\x26\xc6\x94\xc1\xef\x5c\x8e\x06\x42" + "\x53\xe5\x56\xaf\xc2\x99\x01\xaa\x9a\x71\xbc\xe8\x21\x33\x2a\x2d\xa3\x36" + "\xac\x1b\x86\x19\xf8\xcd\x1f\x80\xa4\x26\x98\xb8\x9f\x62\x62\xd5\x1a\x7f" + "\xee\xdb\xdf\x81\xd3\x21\xdb\x33\x92\xee\xff\xe2\x2f\x32\x77\x73\x6a\x58" + "\xab\x21\xf3\xe3\xe1\xbc\x4f\x12\x72\xa6\xb5\xc2\xfb\x27\x9e\xc8\xca\xab" + "\x64\xa0\x87\x07\x9d\xef\xca\x0f\xdb\x02\x81\x81\x00\xe6\xd3\x4d\xc0\xa1" + "\x91\x0e\x62\xfd\xb0\xdd\xc6\x30\xb8\x8c\xcb\x14\xc1\x4b\x69\x30\xdd\xcd" + "\x86\x67\xcb\x37\x14\xc5\x03\xd2\xb4\x69\xab\x3d\xe5\x16\x81\x0f\xe5\x50" + "\xf4\x18\xb1\xec\xbc\x71\xe9\x80\x99\x06\xe4\xa3\xfe\x44\x84\x4a\x2d\x1e" + "\x07\x7f\x22\x70\x6d\x4f\xd4\x93\x0b\x8b\x99\xce\x1e\xab\xcd\x4c\xd2\xd3" + "\x10\x47\x5c\x09\x9f\x6d\x82\xc0\x08\x75\xe3\x3d\x83\xc2\x19\x50\x29\xec" + "\x1f\x84\x29\xcc\xf1\x56\xee\xbd\x54\x5d\xe6\x19\xdf\x0d\x1c\xa4\xbb\x0a" + "\xfe\x84\x44\x29\x1d\xf9\x5c\x80\x96\x5b\x24\xb4\xf7\x02\x1b\x02\x81\x81" + "\x00\xa3\x48\xf1\x9c\x58\xc2\x5f\x38\xfb\xd8\x12\x39\xf1\x8e\x73\xa1\xcf" + "\x78\x12\xe0\xed\x2a\xbb\xef\xac\x23\xb2\xbf\xd6\x0c\xe9\x6e\x1e\xab\xea" + "\x3f\x68\x36\xa7\x1f\xe5\xab\xe0\x86\xa5\x76\x32\x98\xdd\x75\xb5\x2b\xbc" + "\xcb\x8a\x03\x00\x7c\x2e\xca\xf8\xbc\x19\xe4\xe3\xa3\x31\xbd\x1d\x20\x2b" + "\x09\xad\x6f\x4c\xed\x48\xd4\xdf\x87\xf9\xf0\x46\xb9\x86\x4c\x4b\x71\xe7" + "\x48\x78\xdc\xed\xc7\x82\x02\x44\xd3\xa6\xb3\x10\x5f\x62\x81\xfc\xb8\xe4" + "\x0e\xf4\x1a\xdd\xab\x3f\xbc\x63\x79\x5b\x39\x69\x5e\xea\xa9\x15\xfe\x90" + "\xec\xda\x75\x02\x81\x81\x00\x99\xe2\x33\xd5\xc1\x0b\x5e\xec\xa9\x20\x93" + "\xd9\x75\xd0\x5d\xdc\xb8\x80\xdc\xf0\xcb\x3e\x89\x04\x45\x32\x24\xb8\x83" + "\x57\xe1\xcd\x9b\xc7\x7e\x98\xb9\xab\x5f\xee\x35\xf8\x10\x76\x9d\xd2\xf6" + "\x9b\xab\x10\xaf\x43\x17\xfe\xd8\x58\x31\x73\x69\x5a\x54\xc1\xa0\x48\xdf" + "\xe3\x0c\xb2\x5d\x11\x34\x14\x72\x88\xdd\xe1\xe2\x0a\xda\x3d\x5b\xbf\x9e" + "\x57\x2a\xb0\x4e\x97\x7e\x57\xd6\xbb\x8a\xc6\x9d\x6a\x58\x1b\xdd\xf6\x39" + "\xf4\x7e\x38\x3e\x99\x66\x94\xb3\x68\x6d\xd2\x07\x54\x58\x2d\x70\xbe\xa6" + "\x3d\xab\x0e\xe7\x6d\xcd\xfa\x01\x67\x02\x81\x80\x6c\xdb\x4b\xbd\x90\x81" + "\x94\xd0\xa7\xe5\x61\x7b\xf6\x5e\xf7\xc1\x34\xfa\xb7\x40\x9e\x1c\x7d\x4a" + "\x72\xc2\x77\x2a\x8e\xb3\x46\x49\x69\xc7\xf1\x7f\x9a\xcf\x1a\x15\x43\xc7" + "\xeb\x04\x6e\x4e\xcc\x65\xe8\xf9\x23\x72\x7d\xdd\x06\xac\xaa\xfd\x74\x87" + "\x50\x7d\x66\x98\x97\xc2\x21\x28\xbe\x15\x72\x06\x73\x9f\x88\x9e\x30\x8d" + "\xea\x5a\xa6\xa0\x2f\x26\x59\x88\x32\x4b\xef\x85\xa5\xe8\x9e\x85\x01\x56" + "\xd8\x8d\x19\xcc\xb5\x94\xec\x56\xa8\x7b\x42\xb4\xa2\xbc\x93\xc7\x7f\xd2" + "\xec\xfb\x92\x26\x46\x3f\x47\x1b\x63\xff\x0b\x48\x91\xa3\x02\x81\x80\x2c" + "\x4a\xb9\xa4\x46\x7b\xff\x50\x7e\xbf\x60\x47\x3b\x2b\x66\x82\xdc\x0e\x53" + "\x65\x71\xe9\xda\x2a\xb8\x32\x93\x42\xb7\xff\xea\x67\x66\xf1\xbc\x87\x28" + "\x65\x29\x79\xca\xab\x93\x56\xda\x95\xc1\x26\x44\x3d\x27\xc1\x91\xc6\x9b" + "\xd9\xec\x9d\xb7\x49\xe7\x16\xee\x99\x87\x50\x95\x81\xd4\x5c\x5b\x5a\x5d" + "\x0a\x43\xa5\xa7\x8f\x5a\x80\x49\xa0\xb7\x10\x85\xc7\xf4\x42\x34\x86\xb6" + "\x5f\x3f\x88\x9e\xc7\xf5\x59\x29\x39\x68\x48\xf2\xd7\x08\x5b\x92\x8e\x6b" + "\xea\xa5\x63\x5f\xc0\xfb\xe4\xe1\xb2\x7d\xb7\x40\xe9\x55\x06\xbf\x58\x25" + "\x6f"; + +static const uint8_t kTwoPrimeEncryptedMessage[] = { + 0x63, 0x0a, 0x30, 0x45, 0x43, 0x11, 0x45, 0xb7, 0x99, 0x67, 0x90, 0x35, + 0x37, 0x27, 0xff, 0xbc, 0xe0, 0xbf, 0xa6, 0xd1, 0x47, 0x50, 0xbb, 0x6c, + 0x1c, 0xaa, 0x66, 0xf2, 0xff, 0x9d, 0x9a, 0xa6, 0xb4, 0x16, 0x63, 0xb0, + 0xa1, 0x7c, 0x7c, 0x0c, 0xef, 0xb3, 0x66, 0x52, 0x42, 0xd7, 0x5e, 0xf3, + 0xa4, 0x15, 0x33, 0x40, 0x43, 0xe8, 0xb1, 0xfc, 0xe0, 0x42, 0x83, 0x46, + 0x28, 0xce, 0xde, 0x7b, 0x01, 0xeb, 0x28, 0x92, 0x70, 0xdf, 0x8d, 0x54, + 0x9e, 0xed, 0x23, 0xb4, 0x78, 0xc3, 0xca, 0x85, 0x53, 0x48, 0xd6, 0x8a, + 0x87, 0xf7, 0x69, 0xcd, 0x82, 0x8c, 0x4f, 0x5c, 0x05, 0x55, 0xa6, 0x78, + 0x89, 0xab, 0x4c, 0xd8, 0xa9, 0xd6, 0xa5, 0xf4, 0x29, 0x4c, 0x23, 0xc8, + 0xcf, 0xf0, 0x4c, 0x64, 0x6b, 0x4e, 0x02, 0x17, 0x69, 0xd6, 0x47, 0x83, + 0x30, 0x43, 0x02, 0x29, 0xda, 0xda, 0x75, 0x3b, 0xd7, 0xa7, 0x2b, 0x31, + 0xb3, 0xe9, 0x71, 0xa4, 0x41, 0xf7, 0x26, 0x9b, 0xcd, 0x23, 0xfa, 0x45, + 0x3c, 0x9b, 0x7d, 0x28, 0xf7, 0xf9, 0x67, 0x04, 0xba, 0xfc, 0x46, 0x75, + 0x11, 0x3c, 0xd5, 0x27, 0x43, 0x53, 0xb1, 0xb6, 0x9e, 0x18, 0xeb, 0x11, + 0xb4, 0x25, 0x20, 0x30, 0x0b, 0xe0, 0x1c, 0x17, 0x36, 0x22, 0x10, 0x0f, + 0x99, 0xb5, 0x50, 0x14, 0x73, 0x07, 0xf0, 0x2f, 0x5d, 0x4c, 0xe3, 0xf2, + 0x86, 0xc2, 0x05, 0xc8, 0x38, 0xed, 0xeb, 0x2a, 0x4a, 0xab, 0x76, 0xe3, + 0x1a, 0x75, 0x44, 0xf7, 0x6e, 0x94, 0xdc, 0x25, 0x62, 0x7e, 0x31, 0xca, + 0xc2, 0x73, 0x51, 0xb5, 0x03, 0xfb, 0xf9, 0xf6, 0xb5, 0x8d, 0x4e, 0x6c, + 0x21, 0x0e, 0xf9, 0x97, 0x26, 0x57, 0xf3, 0x52, 0x72, 0x07, 0xf8, 0xb4, + 0xcd, 0xb4, 0x39, 0xcf, 0xbf, 0x78, 0xcc, 0xb6, 0x87, 0xf9, 0xb7, 0x8b, + 0x6a, 0xce, 0x9f, 0xc8, +}; + +static const uint8_t kThreePrimeKey[] = + "\x30\x82\x04\xd7\x02\x01\x01\x02\x82\x01\x00\x62\x91\xe9\xea\xb3\x5d\x6c" + "\x29\xae\x21\x83\xbb\xb5\x82\xb1\x9e\xea\xe0\x64\x5b\x1e\x2f\x5e\x2c\x0a" + "\x80\x3d\x29\xd4\xfa\x9a\xe7\x44\xe6\x21\xbd\x98\xc0\x3d\xe0\x53\x59\xae" + "\xd3\x3e\xfe\xc4\xc2\xc4\x5a\x5a\x89\x07\xf4\x4f\xdc\xb0\x6a\xd4\x3e\x99" + "\x7d\x7a\x97\x26\x4e\xe1\x93\xca\x6e\xed\x07\xfc\xb4\xfa\x95\x1e\x73\x7b" + "\x86\x08\x6a\xb9\xd4\x29\xb0\x7e\x59\xb7\x9d\x7b\xeb\x67\x6e\xf0\xbb\x5e" + "\xcf\xb9\xcd\x58\x93\xf0\xe7\x88\x17\x6c\x0d\x76\x1e\xb9\x27\x9a\x4d\x02" + "\x16\xb6\x49\x6d\xa7\x83\x23\x4d\x02\x48\x0c\x0c\x1f\x0e\x85\x21\xe3\x06" + "\x76\x0a\x73\xe6\xc1\x21\xfa\x30\x18\x78\x29\x5c\x31\xd0\x29\xae\x6f\x7d" + "\x87\xd8\x2f\x16\xfa\xbc\x67\x8a\x94\x71\x59\x9b\xec\x22\x40\x55\x9f\xc2" + "\x94\xb5\xbd\x78\x01\xc9\xef\x18\xc8\x6d\x0d\xdc\x53\x42\xb2\x5c\xab\x65" + "\x05\xbd\x35\x08\x85\x1b\xf8\xe9\x47\xbc\xfe\xc5\xae\x47\x29\x63\x44\x8e" + "\x4d\xb7\x47\xab\x0d\xd8\x76\x68\x4f\xc7\x07\x02\xe4\x86\xb0\xcf\xd8\x19" + "\xad\xf4\x85\x76\x8b\x3b\x4e\x40\x8d\x29\x7a\x8a\x07\x36\xf3\x78\xae\x17" + "\xa6\x8f\x53\x58\x65\x4c\x86\x9e\xd7\x8b\xec\x38\x4f\x99\xc7\x02\x01\x03" + "\x02\x82\x01\x00\x41\xb6\x9b\xf1\xcc\xe8\xf2\xc6\x74\x16\x57\xd2\x79\x01" + "\xcb\xbf\x47\x40\x42\xe7\x69\x74\xe9\x72\xb1\xaa\xd3\x71\x38\xa7\x11\xef" + "\x83\x44\x16\x7e\x65\xd5\x7e\x95\x8c\xe6\x74\x8c\xd4\xa9\xd8\x81\xd8\x3c" + "\x3c\x5b\x5a\xa2\xdf\xe8\x75\x9c\x8d\x7f\x10\xfe\x51\xba\x19\x89\xeb\xb7" + "\xdc\x49\xf3\x5a\xa8\x78\xa7\x0e\x14\x4c\xfd\x04\x05\x9c\x7b\xe2\xc5\xa3" + "\x04\xee\xd9\x4c\xfd\x7d\x47\xb0\x0d\x9b\x3d\x70\x91\x81\x2c\xab\x2b\x87" + "\xad\x11\x68\x24\xfc\x2b\xd4\xee\x5e\x28\xeb\x6d\xab\xde\x0f\x77\x15\x58" + "\x76\x39\xc9\x59\x3a\x7f\x19\x9d\xc6\x7e\x86\xe4\xd5\x38\x70\x9e\xae\xb9" + "\xfb\x33\x33\xd1\x0c\x2d\xab\x01\x20\xe1\x8b\x29\x99\xd3\xeb\x87\x05\x72" + "\xaa\x43\x58\x64\x8e\x9e\x31\xdb\x45\x9b\x2b\xac\x58\x80\x5d\x33\xa2\x43" + "\x05\x96\xcc\xca\x2d\x04\x5f\xd6\xb7\x3d\x8b\x8f\x2d\xa3\xa5\xf8\x73\xf5" + "\xd7\xc0\x19\xff\x10\xe6\xee\x3a\x26\x2f\xe1\x64\x3d\x11\xcd\x2d\xe4\x0a" + "\x84\x27\xe3\xcb\x16\x62\x19\xe7\xe3\x0d\x13\xe8\x09\x5a\x53\xd0\x20\x56" + "\x15\xf5\xb3\x67\xac\xa1\xb5\x94\x6b\xab\xdc\x71\xc7\xbf\x0a\xde\x76\xf5" + "\x03\xa0\x30\xd8\x27\x9d\x00\x2b\x02\x57\x00\xf1\x4f\xc2\x86\x13\x06\x17" + "\xf7\x69\x7e\x37\xdf\x67\xc5\x32\xa0\x74\x1c\x32\x69\x0f\x9f\x08\x88\x24" + "\xb1\x51\xbc\xbc\x92\xba\x73\x1f\x9c\x75\xc2\x14\x6d\x4f\xc4\x5a\xcf\xda" + "\x44\x35\x00\x6b\x42\x3b\x9f\x14\xf1\x05\xb3\x51\x22\xb6\xbe\x9c\xe0\xc1" + "\x5c\x48\x61\xdf\x4e\x4c\x72\xb8\x05\x35\x7c\xac\xf1\xbb\xa0\x3b\x2a\xea" + "\xf7\x86\xe9\xd2\xff\x1e\x1d\x02\x56\x00\xca\xb1\x39\xf6\xa2\xc6\x3b\x65" + "\x45\x2f\x39\x00\xcd\x6e\xd6\x55\xf7\x71\x37\x89\xc2\xe7\x7a\xc0\x1a\xa6" + "\x2f\xea\x17\x7c\xaa\x2a\x91\x8f\xd4\xc7\x50\x8b\xab\x8e\x99\x3b\x33\x91" + "\xbc\x02\x10\x58\x4b\x58\x40\x9b\xc4\x8f\x48\x2b\xa7\x44\xfd\x07\x04\xf0" + "\x98\x67\x56\xea\x25\x92\x8b\x2e\x4b\x4a\xa1\xd3\xc2\xa4\xb4\x9b\x59\x70" + "\x32\xa6\xd8\x8b\xd9\x02\x57\x00\xa0\xdf\xd7\x04\x0c\xae\xba\xa4\xf0\xfe" + "\xcf\xea\x45\x2e\x21\xc0\x4d\x68\x21\x9b\x5f\xbf\x5b\x05\x6d\xcb\x8b\xd3" + "\x28\x61\xd1\xa2\x15\x12\xf9\x2c\x0d\x9e\x35\x2d\x91\xdf\xe6\xd8\x23\x55" + "\x9c\xd6\xd2\x6a\x0d\xf6\x03\xcc\xe0\xc1\xcf\x29\xbd\xeb\x2b\x92\xda\xeb" + "\xea\x34\x32\xf7\x25\x58\xce\x53\x1d\xf6\x7d\x15\x7c\xc7\x47\x4f\xaf\x46" + "\x8c\xaa\x14\x13\x02\x56\x00\x87\x20\xd1\x4f\x17\x2e\xd2\x43\x83\x74\xd0" + "\xab\x33\x9f\x39\x8e\xa4\xf6\x25\x06\x81\xef\xa7\x2a\xbc\x6e\xca\x9c\x0f" + "\xa8\x71\x71\xb6\x5f\xe3\x2f\x8b\x07\xc7\xb4\x66\x27\x77\xb6\x7d\x56\xb5" + "\x90\x32\x3a\xd5\xbd\x2d\xb4\xda\xc7\xc4\xd8\xa8\xaf\x58\xa0\x65\x9a\x39" + "\xf1\x6e\x61\xb2\x1e\xdc\xdc\x6b\xe2\x81\xc3\x23\x12\x3b\xa0\x21\xc4\x90" + "\x5d\x3b\x02\x57\x00\xe6\x8a\xaa\xb8\x6d\x2c\x81\x43\xb5\xd6\xa0\x2b\x42" + "\x49\xa9\x0a\x51\xfa\x18\xc8\x32\xea\x54\x18\xf3\x60\xc2\xb5\x4a\x43\x05" + "\x93\x9c\x01\xd9\x28\xed\x73\xfa\x82\xbc\x12\x64\xcb\xc4\x24\xa9\x3e\xae" + "\x7c\x4b\x8f\x94\x57\x7b\x14\x10\x41\xdc\x62\x12\x8c\xb2\x4a\x7c\xf6\x53" + "\xd4\xc6\xe4\xda\xd1\xa2\x00\x0e\x3d\x30\xf7\x05\x4f\x1d\x82\xbc\x52\xd9" + "\xb1\x30\x82\x01\x0a\x30\x82\x01\x06\x02\x56\x00\x84\x12\x4f\xf7\x3b\x65" + "\x53\x34\x6c\x6c\x4d\x77\xdf\xfd\x1f\xb6\x16\xe2\x25\x15\xca\xc9\xc1\x41" + "\x9a\x50\xda\xeb\x88\x4f\x3d\xb3\x01\x00\x44\xc4\xac\xe7\x14\x62\xa6\x56" + "\xde\xc5\xb7\xc3\x1d\x07\xbd\x7d\x64\xc5\x7e\x45\x25\x56\xed\x7a\xd2\x14" + "\xdb\x4e\x27\xd4\x1f\xf8\x94\xa7\xef\x07\xce\xdb\x24\xb7\xdd\x71\x5c\x63" + "\xc9\x33\xfe\xde\x40\x52\xeb\x02\x55\x58\x0c\x35\x4f\x7c\xee\x37\x78\x48" + "\x48\x33\xa5\x3f\xfe\x15\x24\x0f\x41\x6e\x0e\x87\x31\x2b\x81\x11\x8b\x3c" + "\x9d\x05\x8a\x29\x22\x00\xaa\xd8\x83\x1d\xef\x62\xec\x6e\xe4\x94\x83\xcf" + "\xd7\x68\xaf\xd3\xa8\xed\xd8\xfe\xd8\xc3\x8f\x48\xfc\x8c\x0d\xe7\x89\x6f" + "\xe2\xbf\xfb\x0d\xc5\x4a\x05\x34\x92\x18\x7a\x93\xa0\xe8\x42\x86\x22\xa9" + "\xe9\x80\x37\x47\x02\x55\x60\x76\xab\xde\x2b\xf5\xa2\x2c\xaa\x0c\x99\x81" + "\xee\x72\x2c\x7d\x22\x59\x2a\x35\xea\x50\x4e\x47\x6b\x92\x2d\x30\xa1\x01" + "\xa5\x9e\x26\x6e\x27\xca\xf5\xf2\x87\x5d\x31\xaf\xe9\x32\xcd\x10\xfd\x4d" + "\xdb\xf9\x86\x05\x12\x1b\x01\x84\x55\x97\x5f\xe2\x78\x27\xd9\xe4\x26\x7d" + "\xab\x0e\xe0\x1b\x6f\xcb\x4b\x14\xdd\xdc\xdc\x8b\xe8\x9f\xd0\x62\x96\xca" + "\xcf"; + +static const uint8_t kThreePrimeEncryptedMessage[] = { + 0x58, 0xd9, 0xea, 0x8a, 0xf6, 0x3d, 0xb4, 0xd9, 0xf7, 0xbb, 0x02, 0xc5, + 0x58, 0xd2, 0xa9, 0x46, 0x80, 0x70, 0x70, 0x16, 0x07, 0x64, 0x32, 0x4c, + 0x4e, 0x92, 0x61, 0xb7, 0xff, 0x92, 0xdc, 0xfc, 0xf8, 0xf0, 0x2c, 0x84, + 0x56, 0xbc, 0xe5, 0x93, 0x76, 0xe5, 0xa3, 0x72, 0x98, 0xf2, 0xdf, 0xef, + 0x99, 0x53, 0xf6, 0xd8, 0x4b, 0x09, 0xac, 0xa9, 0xa3, 0xdb, 0x63, 0xa1, + 0xb5, 0x09, 0x8e, 0x40, 0x84, 0x8f, 0x4d, 0xd5, 0x1d, 0xac, 0x6c, 0xaa, + 0x6b, 0x15, 0xe7, 0xb1, 0x0c, 0x67, 0xd2, 0xb2, 0x81, 0x58, 0x30, 0x0e, + 0x18, 0x27, 0xa1, 0x9b, 0x96, 0xad, 0xae, 0x76, 0x1a, 0x32, 0xf7, 0x10, + 0x0b, 0x53, 0x85, 0x31, 0xd6, 0x2a, 0xf6, 0x1c, 0x9f, 0xc2, 0xc7, 0xb1, + 0x05, 0x63, 0x0b, 0xa5, 0x07, 0x1f, 0x1c, 0x01, 0xf0, 0xe0, 0x06, 0xea, + 0x20, 0x69, 0x41, 0x19, 0x57, 0x92, 0x17, 0xf7, 0x0c, 0x5c, 0x66, 0x75, + 0x0e, 0xe5, 0xb3, 0xf1, 0x67, 0x3b, 0x27, 0x47, 0xb2, 0x8e, 0x1c, 0xb6, + 0x3f, 0xdd, 0x76, 0x42, 0x31, 0x13, 0x68, 0x96, 0xdf, 0x3b, 0xd4, 0x87, + 0xd9, 0x16, 0x44, 0x71, 0x52, 0x2e, 0x54, 0x3e, 0x09, 0xcd, 0x71, 0xc1, + 0x1e, 0x5e, 0x96, 0x13, 0xc9, 0x1e, 0xa4, 0xe6, 0xe6, 0x97, 0x2c, 0x6b, + 0xf2, 0xa9, 0x5c, 0xc6, 0x60, 0x2a, 0xbc, 0x82, 0xf8, 0xcb, 0xd4, 0xd7, + 0xea, 0x8a, 0xa1, 0x8a, 0xd9, 0xa5, 0x14, 0x8b, 0x9e, 0xf9, 0x25, 0x02, + 0xd2, 0xab, 0x0c, 0x42, 0xca, 0x2d, 0x45, 0xa3, 0x56, 0x5e, 0xa2, 0x2a, + 0xc8, 0x60, 0xa5, 0x87, 0x5d, 0x85, 0x5c, 0xde, 0xc7, 0xa2, 0x47, 0xc3, + 0x99, 0x29, 0x23, 0x79, 0x36, 0x88, 0xad, 0x40, 0x3e, 0x27, 0x7d, 0xf0, + 0xb6, 0xfa, 0x95, 0x20, 0x3c, 0xec, 0xfc, 0x56, 0x3b, 0x20, 0x91, 0xee, + 0x98, 0x10, 0x2c, 0x82, +}; + +static const uint8_t kSixPrimeKey[] = + "\x30\x82\x05\x20\x02\x01\x01\x02\x82\x01\x00\x1c\x04\x39\x44\xb9\xb8\x71" + "\x1c\x1c\xf7\xdc\x11\x1b\x85\x3b\x2b\xe8\xa6\xeb\xeb\xe9\xb6\x86\x97\x73" + "\x5d\x75\x46\xd1\x35\x25\xf8\x30\x9a\xc3\x57\x44\x89\xa6\x44\x59\xe3\x3a" + "\x60\xb5\x33\x84\x72\xa4\x03\xc5\x1a\x20\x98\x70\xbd\xe8\x3b\xc1\x9b\x8a" + "\x3a\x24\x45\xb6\x6a\x73\xb4\xd0\x6c\x18\xc6\xa7\x94\xd3\x24\x70\xf0\x2d" + "\x0c\xa5\xb2\x3b\xc5\x33\x90\x9d\x56\x8d\x33\xf6\x93\x7d\xa7\x95\x88\x05" + "\xdf\xf5\x65\x58\xb9\x5b\xd3\x07\x9c\x16\x8e\x74\xfc\xb8\x76\xaf\x62\x99" + "\x6c\xd4\xc5\xb3\x69\xe5\x64\xdf\x38\x00\x25\x24\xe9\xb1\x4a\x85\xa6\xf4" + "\xb6\x23\x68\x67\x4a\x2c\xbd\x9d\x01\x3b\x04\x8c\x70\x94\x82\x76\x45\x0c" + "\x8b\x95\x8a\x07\x1c\x32\xe7\x09\x97\x3a\xfd\xca\x57\xe9\x57\x0c\xae\x2b" + "\xa3\x25\xd1\xf2\x0d\x34\xa1\xe6\x2f\x7b\x1b\x36\x53\x83\x95\xb9\x26\x6e" + "\x4f\x36\x26\xf8\x47\xae\xdf\xe8\x4d\xf6\xb2\xff\x03\x23\x74\xfa\xa5\x6d" + "\xcb\xcb\x80\x12\xc3\x77\xf0\x19\xb7\xf2\x6b\x19\x5c\xde\x0a\xd7\xee\x8c" + "\x48\x2f\x50\x24\xa5\x2e\xcc\x2a\xed\xc2\x35\xe0\x3d\x29\x31\x17\xd6\x8f" + "\x44\xaa\x5b\x33\xbd\xb4\x88\x87\xd9\x29\x3f\x94\xe7\x75\xe3\x02\x01\x03" + "\x02\x82\x01\x00\x12\xad\x7b\x83\x26\x7a\xf6\x12\xbd\xfa\x92\xb6\x12\x58" + "\xd2\x1d\x45\xc4\x9d\x47\xf1\x24\x59\xba\x4c\xe8\xf8\xd9\xe0\xce\x19\x50" + "\x20\x67\x2c\xe4\xd8\x5b\xc4\x2d\x91\x41\xeb\x05\x4f\xf4\xb4\x20\xc7\xbc" + "\xd6\xe2\x5c\xa0\x27\xcf\xb8\xb3\x3b\x5c\xeb\x5e\x96\xb7\x99\x4b\x8a\xc3" + "\x70\xaf\x7f\xd8\x5f\xeb\xcb\x1a\x79\x44\x68\x97\x84\xd8\x29\x87\x64\xba" + "\x18\x2e\x95\x66\x1a\x7d\xd9\x35\x3a\x5c\x92\x7a\x81\x1b\x6c\xa9\xf8\xfa" + "\x05\x23\x18\x5b\xb2\xf8\x77\x1c\xc5\x1b\x7d\x26\x5f\x48\x69\x1b\xc4\x34" + "\xef\x6e\xa1\x15\xd2\xb2\xac\xb8\xa8\xed\x1e\xee\xdc\xb5\xb9\x5c\x79\x25" + "\x48\xbb\xe5\x9d\xd8\xe5\xe2\x94\xdf\xd5\x32\x22\x84\xbf\xc2\xaa\xa4\x54" + "\xbb\x29\xdb\x13\x4a\x28\x3d\x83\x3a\xff\xa3\xae\x38\x08\xfc\x36\x84\x91" + "\x30\xd1\xfd\x82\x64\xf1\x0f\xae\xba\xd7\x9a\x43\x58\x03\x5e\x5f\x01\xcb" + "\x8b\x90\x8d\x77\x34\x6f\x37\x40\xb6\x6d\x22\x23\x90\xb2\xfd\x32\xb5\x96" + "\x45\xbf\xae\x8c\xc4\x62\x03\x6c\x68\x90\x59\x31\x1a\xcb\xfb\xa4\x0b\x94" + "\x15\x13\xda\x1a\x8d\xa7\x0b\x34\x62\x93\xea\xbe\x6e\x71\xc2\x1d\xc8\x9d" + "\xac\x66\xcc\x31\x87\xff\x99\xab\x02\x2c\x00\xa5\x57\x41\x66\x87\x68\x02" + "\x6a\xdf\x97\xb0\xfe\x6b\x34\xc4\x33\x88\x2b\xce\x82\xaf\x2d\x33\x5a\xad" + "\x75\x2d\xac\xa5\xd6\x3a\x2d\x65\x43\x68\xfb\x44\x9e\xb8\x25\x05\xed\x97" + "\x02\x2c\x00\xd2\x77\x34\x24\xac\x60\x9a\xc4\x68\x34\xe5\x6a\xa3\xdc\xe2" + "\xb0\x58\x5c\x35\x83\x5a\xc7\xa7\xc1\x0b\x7e\x9e\xa5\x85\x32\x47\x93\x22" + "\xee\xb6\x59\xe9\xe3\x61\x94\xd0\x0e\xcb\x02\x2b\x6e\x3a\x2b\x99\xaf\x9a" + "\xac\x47\x3f\xba\x75\xfe\xf2\x23\x2d\x77\xb0\x1d\x34\x57\x1f\x73\x77\x91" + "\xc8\xf8\xc9\x1d\xc3\xe4\x26\xc8\xee\x2c\xf0\xa7\x83\x14\x7a\xc3\x59\x49" + "\x0f\x02\x2c\x00\x8c\x4f\x78\x18\x72\xeb\x11\xd8\x45\x78\x98\xf1\xc2\x93" + "\x41\xca\xe5\x92\xce\x57\x91\xda\x6f\xd6\x07\xa9\xbf\x19\x03\x76\xda\x62" + "\x17\x49\xce\xe6\x9b\xec\xeb\xb8\x8a\xb4\x87\x02\x2c\x00\xa3\xc2\x29\xa6" + "\xa7\xe1\x3c\xe9\xcf\x0f\x50\x51\x1c\xcc\xc8\x5b\x08\x9c\x97\x24\x3a\x86" + "\x23\xa8\x0b\xbb\x54\xa6\xb9\x70\x3d\x1d\xd0\x1b\xa3\xac\xd9\xb2\x03\x80" + "\xd7\x67\xec\x30\x82\x02\x29\x30\x81\x88\x02\x2c\x00\x97\x5d\x3b\xf2\xcc" + "\xba\xd9\x77\x67\xaa\xd2\x22\xa7\xa3\x49\x08\xc7\xb8\x27\xa1\x59\x4b\xa7" + "\xa5\xd2\x74\x05\xe7\x5a\x35\xd7\x25\x79\x18\x20\x8a\x25\xec\x3b\x52\xaf" + "\xcb\xdb\x02\x2b\x64\xe8\xd2\xa1\xdd\xd1\xe6\x4f\x9a\x71\xe1\x6c\x6f\xc2" + "\x30\xb0\x85\x25\x6f\xc0\xe6\x32\x6f\xc3\xe1\xa2\xae\x9a\x3c\x23\xe4\xc3" + "\xa6\x10\x15\xb1\x6e\x9d\x7c\xe1\xca\x87\xe7\x02\x2b\x5e\xef\x25\x29\xed" + "\xf6\x52\x15\xd3\x60\xb6\x88\xcf\x0f\xe2\x24\xa4\x04\x97\x9c\x9d\x58\x13" + "\xbb\x00\x6d\x39\xf6\xad\x21\x7e\x56\x2c\x2e\x06\x06\xc4\x6d\x44\xac\x79" + "\x1f\xe5\x30\x81\x89\x02\x2c\x00\xdb\xf1\x78\xf9\xa4\x94\xea\x39\x8a\x3f" + "\x23\x48\x2a\x23\x8f\xd2\x18\x97\xd2\xdf\x0f\xb8\x2b\x33\xa0\xe8\x8f\xbc" + "\x4e\x42\xfd\x54\xc7\x0f\xde\xba\x6d\xba\x96\xa7\xce\x67\x3d\x02\x2c\x00" + "\x92\xa0\xfb\x51\x18\x63\x46\xd1\x06\xd4\xc2\x30\x1c\x17\xb5\x36\xbb\x0f" + "\xe1\xea\x0a\x7a\xc7\x77\xc0\x9b\x0a\x7d\x89\x81\xfe\x38\x84\xb5\x3f\x26" + "\xf3\xd1\xb9\xc5\x34\x44\xd3\x02\x2b\x4c\xbd\x1d\x44\xc8\x19\x23\xd8\xb3" + "\x96\x66\x4b\x62\xcb\x3e\xe6\x6c\x11\xdf\xb2\x92\xd3\xc8\x34\xb9\xa6\x5a" + "\x2f\x19\xf4\x0b\xb2\xe6\x8e\xa6\xaf\xa3\xae\xa4\xb3\x92\xc4\x79\x30\x81" + "\x85\x02\x2b\x00\x89\xab\x30\xfc\x7b\x37\x94\x11\x9f\x4d\x31\x3b\xac\x09" + "\x57\xe6\x64\xec\xa0\xc8\xf8\x04\x1a\xf9\x2a\xa4\x4b\x36\x18\xbb\x5f\xdc" + "\xcd\xf0\xc8\xcb\x97\xd1\xdf\x13\x12\x3f\x02\x2a\x5b\xc7\x75\xfd\xa7\x7a" + "\x62\xb6\x6a\x33\x76\x27\xc8\x06\x3a\x99\x98\x9d\xc0\x85\xfa\xad\x67\x50" + "\xc7\x18\x32\x24\x10\x7c\xea\x93\x33\xf5\xdb\x32\x65\x36\x94\xb7\x61\x7f" + "\x02\x2a\x16\x6c\x96\xa1\x50\x6f\x3a\x92\xc0\x75\x43\xb5\x6b\x9c\x17\x09" + "\xd3\xf0\x67\x69\x45\x92\xfb\x7b\x50\xa8\x42\x9b\x33\x92\xab\xd5\xe6\x49" + "\xb3\x26\x99\x55\x16\x3a\x39\x63\x30\x81\x87\x02\x2b\x00\xc1\x25\x19\x1d" + "\x6e\x18\xcb\x2d\x64\xe2\xe6\xb6\x1c\xe4\xaa\x9c\xb9\xee\x18\xd4\xf7\x5f" + "\x66\x40\xf0\xe1\x31\x38\xf2\x53\x00\x8b\xcc\xe4\x0d\xb7\x81\xb4\xe6\x1c" + "\x19\xaf\x02\x2b\x00\x80\xc3\x66\x13\x9e\xbb\x32\x1e\x43\x41\xef\x24\x13" + "\x43\x1c\x68\x7b\xf4\x10\x8d\xfa\x3f\x99\x80\xa0\x96\x20\xd0\xa1\x8c\xab" + "\x07\xdd\xed\x5e\x7a\x56\x78\x99\x68\x11\x1f\x02\x2b\x00\xb0\x59\xea\x67" + "\x93\x42\xbf\x07\x54\x38\x41\xcb\x73\xa4\x0e\xc2\xae\x56\x19\x41\xc9\x8a" + "\xb2\x2f\xa8\x0a\xb1\x4e\x12\x39\x2e\xc0\x94\x9a\xc6\xa3\xe4\xaf\x8a\x16" + "\x06\xb8"; + +static const uint8_t kSixPrimeEncryptedMessage[] = { + 0x0a, 0xcb, 0x6c, 0x02, 0x9d, 0x1a, 0x7c, 0xf3, 0x4e, 0xff, 0x16, 0x88, + 0xee, 0x22, 0x1d, 0x8d, 0xd2, 0xfd, 0xde, 0x83, 0xb3, 0xd9, 0x35, 0x2c, + 0x82, 0xe0, 0xff, 0xe6, 0x79, 0x6d, 0x06, 0x21, 0x74, 0xa8, 0x04, 0x0c, + 0xe2, 0xd3, 0x98, 0x3f, 0xbf, 0xd0, 0xe9, 0x88, 0x24, 0xe2, 0x05, 0xa4, + 0x45, 0x51, 0x87, 0x6b, 0x1c, 0xef, 0x5f, 0x2d, 0x61, 0xb6, 0xf1, 0x4c, + 0x1f, 0x3d, 0xbf, 0x4b, 0xf2, 0xda, 0x09, 0x97, 0x81, 0xde, 0x91, 0xb7, + 0x0d, 0xb4, 0xc2, 0xab, 0x41, 0x64, 0x9d, 0xd9, 0x39, 0x46, 0x79, 0x66, + 0x43, 0xf1, 0x34, 0x21, 0x56, 0x2f, 0xc6, 0x68, 0x40, 0x4a, 0x2d, 0x73, + 0x96, 0x50, 0xe1, 0xb0, 0xaf, 0x49, 0x39, 0xb4, 0xf0, 0x3a, 0x78, 0x38, + 0x70, 0xa9, 0x91, 0x5d, 0x5e, 0x07, 0xf4, 0xec, 0xbb, 0xc4, 0xe5, 0x8a, + 0xb8, 0x06, 0xba, 0xdf, 0xc6, 0x48, 0x78, 0x4b, 0xca, 0x2a, 0x8a, 0x92, + 0x64, 0xe3, 0xa6, 0xae, 0x87, 0x97, 0x12, 0x16, 0x46, 0x67, 0x59, 0xdf, + 0xf2, 0xf3, 0x89, 0x6f, 0xe8, 0xa9, 0x13, 0x57, 0x63, 0x4e, 0x07, 0x98, + 0xcc, 0x73, 0xa0, 0x84, 0x9d, 0xe8, 0xb3, 0x50, 0x59, 0xb5, 0x51, 0xb3, + 0x41, 0x7d, 0x55, 0xfe, 0xd9, 0xf0, 0xc6, 0xff, 0x6e, 0x96, 0x4f, 0x22, + 0xb2, 0x0d, 0x6b, 0xc9, 0x83, 0x2d, 0x98, 0x98, 0xb2, 0xd1, 0xb7, 0xe4, + 0x50, 0x83, 0x1a, 0xa9, 0x02, 0x9f, 0xaf, 0x54, 0x74, 0x2a, 0x2c, 0x63, + 0x10, 0x79, 0x45, 0x5c, 0x95, 0x0d, 0xa1, 0x9b, 0x55, 0xf3, 0x1e, 0xb7, + 0x56, 0x59, 0xf1, 0x59, 0x8d, 0xd6, 0x15, 0x89, 0xf6, 0xfe, 0xc0, 0x00, + 0xdd, 0x1f, 0x2b, 0xf0, 0xf7, 0x5d, 0x64, 0x84, 0x76, 0xd3, 0xc2, 0x92, + 0x35, 0xac, 0xb5, 0xf9, 0xf6, 0xa8, 0x05, 0x89, 0x4c, 0x95, 0x41, 0x4e, + 0x34, 0x25, 0x11, 0x14, +}; + +// kEstonianRSAKey is an RSAPublicKey encoded with a negative modulus. See +// https://crbug.com/532048. +static const uint8_t kEstonianRSAKey[] = { + 0x30, 0x82, 0x01, 0x09, 0x02, 0x82, 0x01, 0x00, 0x96, 0xa6, 0x2e, 0x9c, + 0x4e, 0x6a, 0xc3, 0xcc, 0xcd, 0x8f, 0x70, 0xc3, 0x55, 0xbf, 0x5e, 0x9c, + 0xd4, 0xf3, 0x17, 0xc3, 0x97, 0x70, 0xae, 0xdf, 0x12, 0x5c, 0x15, 0x80, + 0x03, 0xef, 0x2b, 0x18, 0x9d, 0x6a, 0xcb, 0x52, 0x22, 0xc1, 0x81, 0xb8, + 0x7e, 0x61, 0xe8, 0x0f, 0x79, 0x24, 0x0f, 0x82, 0x70, 0x24, 0x4e, 0x29, + 0x20, 0x05, 0x54, 0xeb, 0xd4, 0xa9, 0x65, 0x59, 0xb6, 0x3c, 0x75, 0x95, + 0x2f, 0x4c, 0xf6, 0x9d, 0xd1, 0xaf, 0x5f, 0x14, 0x14, 0xe7, 0x25, 0xea, + 0xa5, 0x47, 0x5d, 0xc6, 0x3e, 0x28, 0x8d, 0xdc, 0x54, 0x87, 0x2a, 0x7c, + 0x10, 0xe9, 0xc6, 0x76, 0x2d, 0xe7, 0x79, 0xd8, 0x0e, 0xbb, 0xa9, 0xac, + 0xb5, 0x18, 0x98, 0xd6, 0x47, 0x6e, 0x06, 0x70, 0xbf, 0x9e, 0x82, 0x25, + 0x95, 0x4e, 0xfd, 0x70, 0xd7, 0x73, 0x45, 0x2e, 0xc1, 0x1f, 0x7a, 0x9a, + 0x9d, 0x60, 0xc0, 0x1f, 0x67, 0x06, 0x2a, 0x4e, 0x87, 0x3f, 0x19, 0x88, + 0x69, 0x64, 0x4d, 0x9f, 0x75, 0xf5, 0xd3, 0x1a, 0x41, 0x3d, 0x35, 0x17, + 0xb6, 0xd1, 0x44, 0x0d, 0x25, 0x8b, 0xe7, 0x94, 0x39, 0xb0, 0x7c, 0xaf, + 0x3e, 0x6a, 0xfa, 0x8d, 0x90, 0x21, 0x0f, 0x8a, 0x43, 0x94, 0x37, 0x7c, + 0x2a, 0x15, 0x4c, 0xa0, 0xfa, 0xa9, 0x2f, 0x21, 0xa6, 0x6f, 0x8e, 0x2f, + 0x89, 0xbc, 0xbb, 0x33, 0xf8, 0x31, 0xfc, 0xdf, 0xcd, 0x68, 0x9a, 0xbc, + 0x75, 0x06, 0x95, 0xf1, 0x3d, 0xef, 0xca, 0x76, 0x27, 0xd2, 0xba, 0x8e, + 0x0e, 0x1c, 0x43, 0xd7, 0x70, 0xb9, 0xc6, 0x15, 0xca, 0xd5, 0x4d, 0x87, + 0xb9, 0xd1, 0xae, 0xde, 0x69, 0x73, 0x00, 0x2a, 0x97, 0x51, 0x4b, 0x30, + 0x01, 0xc2, 0x85, 0xd0, 0x05, 0xcc, 0x2e, 0xe8, 0xc7, 0x42, 0xe7, 0x94, + 0x51, 0xe3, 0xf5, 0x19, 0x35, 0xdc, 0x57, 0x96, 0xe7, 0xd9, 0xb4, 0x49, + 0x02, 0x03, 0x01, 0x00, 0x01, +}; + +static bool TestRSA(const uint8_t *der, size_t der_len, + const uint8_t *oaep_ciphertext, + size_t oaep_ciphertext_len) { + ScopedRSA key(d2i_RSAPrivateKey(nullptr, &der, der_len)); + if (!key) { + return false; + } + + if (!RSA_check_key(key.get())) { + fprintf(stderr, "RSA_check_key failed\n"); + return false; + } + + uint8_t ciphertext[256]; + + int num = RSA_public_encrypt(kPlaintextLen, kPlaintext, ciphertext, key.get(), + RSA_PKCS1_PADDING); + if (num < 0 || (size_t)num != RSA_size(key.get())) { + fprintf(stderr, "PKCS#1 v1.5 encryption failed!\n"); + return false; + } + + uint8_t plaintext[256]; + num = RSA_private_decrypt(num, ciphertext, plaintext, key.get(), + RSA_PKCS1_PADDING); + if (num < 0 || + (size_t)num != kPlaintextLen || memcmp(plaintext, kPlaintext, num) != 0) { + fprintf(stderr, "PKCS#1 v1.5 decryption failed!\n"); + return false; + } + + num = RSA_public_encrypt(kPlaintextLen, kPlaintext, ciphertext, key.get(), + RSA_PKCS1_OAEP_PADDING); + if (num < 0 || (size_t)num != RSA_size(key.get())) { + fprintf(stderr, "OAEP encryption failed!\n"); + return false; + } + + num = RSA_private_decrypt(num, ciphertext, plaintext, key.get(), + RSA_PKCS1_OAEP_PADDING); + if (num < 0 || + (size_t)num != kPlaintextLen || memcmp(plaintext, kPlaintext, num) != 0) { + fprintf(stderr, "OAEP decryption (encrypted data) failed!\n"); + return false; + } + + // |oaep_ciphertext| should decrypt to |kPlaintext|. + num = RSA_private_decrypt(oaep_ciphertext_len, oaep_ciphertext, plaintext, + key.get(), RSA_PKCS1_OAEP_PADDING); + + if (num < 0 || + (size_t)num != kPlaintextLen || memcmp(plaintext, kPlaintext, num) != 0) { + fprintf(stderr, "OAEP decryption (test vector data) failed!\n"); + return false; + } + + // Try decrypting corrupted ciphertexts. + memcpy(ciphertext, oaep_ciphertext, oaep_ciphertext_len); + for (size_t i = 0; i < oaep_ciphertext_len; i++) { + uint8_t saved = ciphertext[i]; + for (unsigned b = 0; b < 256; b++) { + if (b == saved) { + continue; + } + ciphertext[i] = b; + num = RSA_private_decrypt(num, ciphertext, plaintext, key.get(), + RSA_PKCS1_OAEP_PADDING); + if (num > 0) { + fprintf(stderr, "Corrupt data decrypted!\n"); + return false; + } + } + ciphertext[i] = saved; + } + + return true; +} + +static bool TestMultiPrimeKey(int nprimes, const uint8_t *der, size_t der_size, + const uint8_t *enc, size_t enc_size) { + ScopedRSA rsa(d2i_RSAPrivateKey(nullptr, &der, der_size)); + if (!rsa) { + fprintf(stderr, "%d-prime key failed to parse.\n", nprimes); + ERR_print_errors_fp(stderr); + return false; + } + + if (!RSA_check_key(rsa.get())) { + fprintf(stderr, "RSA_check_key failed for %d-prime key.\n", nprimes); + ERR_print_errors_fp(stderr); + return false; + } + + uint8_t out[256]; + size_t out_len; + if (!RSA_decrypt(rsa.get(), &out_len, out, sizeof(out), enc, enc_size, + RSA_PKCS1_PADDING) || + out_len != 11 || + memcmp(out, "hello world", 11) != 0) { + fprintf(stderr, "%d-prime key failed to decrypt.\n", nprimes); + ERR_print_errors_fp(stderr); + return false; + } + + return true; +} + +static bool TestMultiPrimeKeygen() { + static const char kMessage[] = "Hello world."; + static const size_t kBits = 1024; + uint8_t encrypted[kBits / 8], decrypted[kBits / 8]; + size_t encrypted_len, decrypted_len; + + ScopedRSA rsa(RSA_new()); + ScopedBIGNUM e(BN_new()); + if (!rsa || !e || + !BN_set_word(e.get(), RSA_F4) || + !RSA_generate_multi_prime_key(rsa.get(), kBits, 3, e.get(), nullptr) || + !RSA_check_key(rsa.get()) || + !RSA_encrypt(rsa.get(), &encrypted_len, encrypted, sizeof(encrypted), + (const uint8_t *)kMessage, sizeof(kMessage), + RSA_PKCS1_PADDING) || + !RSA_decrypt(rsa.get(), &decrypted_len, decrypted, sizeof(decrypted), + encrypted, encrypted_len, RSA_PKCS1_PADDING) || + decrypted_len != sizeof(kMessage) || + memcmp(decrypted, kMessage, sizeof(kMessage)) != 0) { + ERR_print_errors_fp(stderr); + return false; + } + + return true; +} + +static bool TestBadKey() { + ScopedRSA key(RSA_new()); + ScopedBIGNUM e(BN_new()); + + if (!key || !e || !BN_set_word(e.get(), RSA_F4)) { + return false; + } + + if (!RSA_generate_key_ex(key.get(), 512, e.get(), nullptr)) { + fprintf(stderr, "RSA_generate_key_ex failed.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + if (!BN_add(key->p, key->p, BN_value_one())) { + fprintf(stderr, "BN error.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + if (RSA_check_key(key.get())) { + fprintf(stderr, "RSA_check_key passed with invalid key!\n"); + return false; + } + + ERR_clear_error(); + return true; +} + +static bool TestOnlyDGiven() { + uint8_t buf[64]; + unsigned buf_len = sizeof(buf); + ScopedRSA key(RSA_new()); + if (!key || + !BN_hex2bn(&key->n, + "00e77bbf3889d4ef36a9a25d4d69f3f632eb4362214c74517da6d6aeaa9bd" + "09ac42b26621cd88f3a6eb013772fc3bf9f83914b6467231c630202c35b3e" + "5808c659") || + !BN_hex2bn(&key->e, "010001") || + !BN_hex2bn(&key->d, + "0365db9eb6d73b53b015c40cd8db4de7dd7035c68b5ac1bf786d7a4ee2cea" + "316eaeca21a73ac365e58713195f2ae9849348525ca855386b6d028e437a9" + "495a01") || + RSA_size(key.get()) > sizeof(buf)) { + return false; + } + + if (!RSA_check_key(key.get())) { + fprintf(stderr, "RSA_check_key failed with only d given.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + const uint8_t kDummyHash[16] = {0}; + + if (!RSA_sign(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, &buf_len, + key.get())) { + fprintf(stderr, "RSA_sign failed with only d given.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + if (!RSA_verify(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, buf_len, + key.get())) { + fprintf(stderr, "RSA_verify failed with only d given.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + return true; +} + +static bool TestRecoverCRTParams() { + ScopedBIGNUM e(BN_new()); + if (!e || !BN_set_word(e.get(), RSA_F4)) { + return false; + } + + ERR_clear_error(); + + for (unsigned i = 0; i < 1; i++) { + ScopedRSA key1(RSA_new()); + if (!key1 || + !RSA_generate_key_ex(key1.get(), 512, e.get(), nullptr)) { + fprintf(stderr, "RSA_generate_key_ex failed.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + if (!RSA_check_key(key1.get())) { + fprintf(stderr, "RSA_check_key failed with original key.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + ScopedRSA key2(RSA_new()); + if (!key2) { + return false; + } + key2->n = BN_dup(key1->n); + key2->e = BN_dup(key1->e); + key2->d = BN_dup(key1->d); + if (key2->n == nullptr || key2->e == nullptr || key2->d == nullptr) { + return false; + } + + if (!RSA_recover_crt_params(key2.get())) { + fprintf(stderr, "RSA_recover_crt_params failed.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + uint8_t buf[128]; + unsigned buf_len = sizeof(buf); + if (RSA_size(key2.get()) > buf_len) { + return false; + } + + if (!RSA_check_key(key2.get())) { + fprintf(stderr, "RSA_check_key failed with recovered key.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + const uint8_t kDummyHash[16] = {0}; + if (!RSA_sign(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, &buf_len, + key2.get())) { + fprintf(stderr, "RSA_sign failed with recovered key.\n"); + ERR_print_errors_fp(stderr); + return false; + } + + if (!RSA_verify(NID_sha256, kDummyHash, sizeof(kDummyHash), buf, buf_len, + key2.get())) { + fprintf(stderr, "RSA_verify failed with recovered key.\n"); + ERR_print_errors_fp(stderr); + return false; + } + } + + return true; +} + +static bool TestASN1() { + // Test that private keys may be decoded. + ScopedRSA rsa(RSA_private_key_from_bytes(kKey1, sizeof(kKey1) - 1)); + if (!rsa) { + return false; + } + + // Test that the serialization round-trips. + uint8_t *der; + size_t der_len; + if (!RSA_private_key_to_bytes(&der, &der_len, rsa.get())) { + return false; + } + ScopedOpenSSLBytes delete_der(der); + if (der_len != sizeof(kKey1) - 1 || memcmp(der, kKey1, der_len) != 0) { + return false; + } + + // Test that serializing public keys works. + if (!RSA_public_key_to_bytes(&der, &der_len, rsa.get())) { + return false; + } + delete_der.reset(der); + + // Public keys may be parsed back out. + rsa.reset(RSA_public_key_from_bytes(der, der_len)); + if (!rsa || rsa->p != NULL || rsa->q != NULL) { + return false; + } + + // Serializing the result round-trips. + uint8_t *der2; + size_t der2_len; + if (!RSA_public_key_to_bytes(&der2, &der2_len, rsa.get())) { + return false; + } + ScopedOpenSSLBytes delete_der2(der2); + if (der_len != der2_len || memcmp(der, der2, der_len) != 0) { + return false; + } + + // Public keys cannot be serialized as private keys. + if (RSA_private_key_to_bytes(&der, &der_len, rsa.get())) { + OPENSSL_free(der); + return false; + } + ERR_clear_error(); + + // Public keys with negative moduli are invalid. + rsa.reset(RSA_public_key_from_bytes(kEstonianRSAKey, + sizeof(kEstonianRSAKey))); + if (rsa) { + return false; + } + ERR_clear_error(); + + // But |RSA_parse_public_key_buggy| will accept it. + CBS cbs; + CBS_init(&cbs, kEstonianRSAKey, sizeof(kEstonianRSAKey)); + rsa.reset(RSA_parse_public_key_buggy(&cbs)); + if (!rsa || CBS_len(&cbs) != 0) { + return false; + } + + return true; +} + +int main(int argc, char *argv[]) { + CRYPTO_library_init(); + + if (!TestRSA(kKey1, sizeof(kKey1) - 1, kOAEPCiphertext1, + sizeof(kOAEPCiphertext1) - 1) || + !TestRSA(kKey2, sizeof(kKey2) - 1, kOAEPCiphertext2, + sizeof(kOAEPCiphertext2) - 1) || + !TestRSA(kKey3, sizeof(kKey3) - 1, kOAEPCiphertext3, + sizeof(kOAEPCiphertext3) - 1) || + !TestOnlyDGiven() || + !TestRecoverCRTParams() || + !TestBadKey() || + !TestMultiPrimeKey(2, kTwoPrimeKey, sizeof(kTwoPrimeKey) - 1, + kTwoPrimeEncryptedMessage, + sizeof(kTwoPrimeEncryptedMessage)) || + !TestMultiPrimeKey(3, kThreePrimeKey, sizeof(kThreePrimeKey) - 1, + kThreePrimeEncryptedMessage, + sizeof(kThreePrimeEncryptedMessage)) || + !TestMultiPrimeKey(6, kSixPrimeKey, sizeof(kSixPrimeKey) - 1, + kSixPrimeEncryptedMessage, + sizeof(kSixPrimeEncryptedMessage)) || + !TestMultiPrimeKeygen() || + !TestASN1()) { + return 1; + } + + printf("PASS\n"); + return 0; +} |