/* * Copyright (C) 2005-2008 Martin Willi * Copyright (C) 2005 Jan Hutter * Hochschule fuer Technik Rapperswil * * This program is free software; you can redistribute it and/or modify it * under the terms of the GNU General Public License as published by the * Free Software Foundation; either version 2 of the License, or (at your * option) any later version. See . * * This program is distributed in the hope that it will be useful, but * WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY * or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License * for more details. * * $Id$ */ #include #include #include #include #include "gmp_rsa_private_key.h" #include "gmp_rsa_public_key.h" #include #include #include #include /** * Public exponent to use for key generation. */ #define PUBLIC_EXPONENT 0x10001 typedef struct private_gmp_rsa_private_key_t private_gmp_rsa_private_key_t; /** * Private data of a gmp_rsa_private_key_t object. */ struct private_gmp_rsa_private_key_t { /** * Public interface for this signer. */ gmp_rsa_private_key_t public; /** * Version of key, as encoded in PKCS#1 */ u_int version; /** * Public modulus. */ mpz_t n; /** * Public exponent. */ mpz_t e; /** * Private prime 1. */ mpz_t p; /** * Private Prime 2. */ mpz_t q; /** * Private exponent. */ mpz_t d; /** * Private exponent 1. */ mpz_t exp1; /** * Private exponent 2. */ mpz_t exp2; /** * Private coefficient. */ mpz_t coeff; /** * Keysize in bytes. */ size_t k; /** * Keyid formed as a SHA-1 hash of a publicKey object */ identification_t* keyid; /** * Keyid formed as a SHA-1 hash of a publicKeyInfo object */ identification_t* keyid_info; /** * reference count */ refcount_t ref; }; /** * shared functions, implemented in gmp_rsa_public_key.c */ bool gmp_rsa_public_key_build_id(mpz_t n, mpz_t e, identification_t **keyid, identification_t **keyid_info); gmp_rsa_public_key_t *gmp_rsa_public_key_create_from_n_e(mpz_t n, mpz_t e); /** * Auxiliary function overwriting private key material with zero bytes */ static void mpz_clear_randomized(mpz_t z) { size_t len = mpz_size(z) * GMP_LIMB_BITS / BITS_PER_BYTE; u_int8_t *random = alloca(len); memset(random, 0, len); /* overwrite mpz_t with zero bytes before clearing it */ mpz_import(z, len, 1, 1, 1, 0, random); mpz_clear(z); } /** * Create a mpz prime of at least prime_size */ static status_t compute_prime(private_gmp_rsa_private_key_t *this, size_t prime_size, mpz_t *prime) { rng_t *rng; chunk_t random_bytes; rng = lib->crypto->create_rng(lib->crypto, RNG_REAL); if (!rng) { DBG1("no RNG of quality %N found", rng_quality_names, RNG_REAL); return FAILED; } mpz_init(*prime); do { rng->allocate_bytes(rng, prime_size, &random_bytes); /* make sure most significant bit is set */ random_bytes.ptr[0] = random_bytes.ptr[0] | 0x80; mpz_import(*prime, random_bytes.len, 1, 1, 1, 0, random_bytes.ptr); mpz_nextprime (*prime, *prime); chunk_clear(&random_bytes); } /* check if it isn't too large */ while (((mpz_sizeinbase(*prime, 2) + 7) / 8) > prime_size); rng->destroy(rng); return SUCCESS; } /** * PKCS#1 RSADP function */ static chunk_t rsadp(private_gmp_rsa_private_key_t *this, chunk_t data) { mpz_t t1, t2; chunk_t decrypted; mpz_init(t1); mpz_init(t2); mpz_import(t1, data.len, 1, 1, 1, 0, data.ptr); mpz_powm(t2, t1, this->exp1, this->p); /* m1 = c^dP mod p */ mpz_powm(t1, t1, this->exp2, this->q); /* m2 = c^dQ mod Q */ mpz_sub(t2, t2, t1); /* h = qInv (m1 - m2) mod p */ mpz_mod(t2, t2, this->p); mpz_mul(t2, t2, this->coeff); mpz_mod(t2, t2, this->p); mpz_mul(t2, t2, this->q); /* m = m2 + h q */ mpz_add(t1, t1, t2); decrypted.len = this->k; decrypted.ptr = mpz_export(NULL, NULL, 1, decrypted.len, 1, 0, t1); mpz_clear_randomized(t1); mpz_clear_randomized(t2); return decrypted; } /** * PKCS#1 RSASP1 function */ static chunk_t rsasp1(private_gmp_rsa_private_key_t *this, chunk_t data) { return rsadp(this, data); } /** * Implementation of gmp_rsa_private_key_t.build_emsa_pkcs1_signature. */ static bool build_emsa_pkcs1_signature(private_gmp_rsa_private_key_t *this, hash_algorithm_t hash_algorithm, chunk_t data, chunk_t *signature) { hasher_t *hasher; chunk_t em, digestInfo, hash; int hash_oid = hasher_algorithm_to_oid(hash_algorithm); if (hash_oid == OID_UNKNOWN) { return FALSE; } /* get hasher */ hasher = lib->crypto->create_hasher(lib->crypto, hash_algorithm); if (hasher == NULL) { return FALSE; } /* build hash */ hasher->allocate_hash(hasher, data, &hash); hasher->destroy(hasher); /* build DER-encoded digestInfo */ digestInfo = asn1_wrap(ASN1_SEQUENCE, "cm", asn1_algorithmIdentifier(hash_oid), asn1_simple_object(ASN1_OCTET_STRING, hash) ); chunk_free(&hash); /* build chunk to rsa-decrypt: * EM = 0x00 || 0x01 || PS || 0x00 || T. * PS = 0xFF padding, with length to fill em * T = encoded_hash */ em.len = this->k; em.ptr = malloc(em.len); /* fill em with padding */ memset(em.ptr, 0xFF, em.len); /* set magic bytes */ *(em.ptr) = 0x00; *(em.ptr+1) = 0x01; *(em.ptr + em.len - digestInfo.len - 1) = 0x00; /* set DER-encoded hash */ memcpy(em.ptr + em.len - digestInfo.len, digestInfo.ptr, digestInfo.len); /* build signature */ *signature = rsasp1(this, em); free(digestInfo.ptr); free(em.ptr); return TRUE; } /** * Implementation of gmp_rsa_private_key.destroy. */ static key_type_t get_type(private_gmp_rsa_private_key_t *this) { return KEY_RSA; } /** * Implementation of gmp_rsa_private_key.destroy. */ static bool sign(private_gmp_rsa_private_key_t *this, signature_scheme_t scheme, chunk_t data, chunk_t *signature) { switch (scheme) { case SIGN_DEFAULT: /* default is EMSA-PKCS1 using SHA1 */ case SIGN_RSA_EMSA_PKCS1_SHA1: return build_emsa_pkcs1_signature(this, HASH_SHA1, data, signature); case SIGN_RSA_EMSA_PKCS1_SHA256: return build_emsa_pkcs1_signature(this, HASH_SHA256, data, signature); case SIGN_RSA_EMSA_PKCS1_SHA384: return build_emsa_pkcs1_signature(this, HASH_SHA384, data, signature); case SIGN_RSA_EMSA_PKCS1_SHA512: return build_emsa_pkcs1_signature(this, HASH_SHA512, data, signature); case SIGN_RSA_EMSA_PKCS1_MD5: return build_emsa_pkcs1_signature(this, HASH_MD5, data, signature); default: DBG1("signature scheme %N not supported in RSA", signature_scheme_names, scheme); return FALSE; } } /** * Implementation of gmp_rsa_private_key.destroy. */ static bool decrypt(private_gmp_rsa_private_key_t *this, chunk_t crypto, chunk_t *plain) { DBG1("RSA private key decryption not implemented"); return FALSE; } /** * Implementation of gmp_rsa_private_key.destroy. */ static size_t get_keysize(private_gmp_rsa_private_key_t *this) { return this->k; } /** * Implementation of gmp_rsa_private_key.destroy. */ static identification_t* get_id(private_gmp_rsa_private_key_t *this, id_type_t type) { switch (type) { case ID_PUBKEY_INFO_SHA1: return this->keyid_info; case ID_PUBKEY_SHA1: return this->keyid; default: return NULL; } } /** * Implementation of gmp_rsa_private_key.get_public_key. */ static gmp_rsa_public_key_t* get_public_key(private_gmp_rsa_private_key_t *this) { return gmp_rsa_public_key_create_from_n_e(this->n, this->e); } /** * Implementation of gmp_rsa_private_key.destroy. */ static bool belongs_to(private_gmp_rsa_private_key_t *this, public_key_t *public) { identification_t *keyid; if (public->get_type(public) != KEY_RSA) { return FALSE; } keyid = public->get_id(public, ID_PUBKEY_SHA1); if (keyid && keyid->equals(keyid, this->keyid)) { return TRUE; } keyid = public->get_id(public, ID_PUBKEY_INFO_SHA1); if (keyid && keyid->equals(keyid, this->keyid_info)) { return TRUE; } return FALSE; } /** * convert a MP integer into a DER coded ASN.1 object */ chunk_t gmp_mpz_to_asn1(const mpz_t value) { chunk_t n; n.len = 1 + mpz_sizeinbase(value, 2) / 8; /* size in bytes */ n.ptr = mpz_export(NULL, NULL, 1, n.len, 1, 0, value); if (n.ptr == NULL) { /* if we have zero in "value", gmp returns NULL */ n.len = 0; } return asn1_wrap(ASN1_INTEGER, "m", n); } /** * Implementation of private_key_t.get_encoding. */ static chunk_t get_encoding(private_gmp_rsa_private_key_t *this) { return asn1_wrap(ASN1_SEQUENCE, "cmmmmmmmm", ASN1_INTEGER_0, gmp_mpz_to_asn1(this->n), gmp_mpz_to_asn1(this->e), gmp_mpz_to_asn1(this->d), gmp_mpz_to_asn1(this->p), gmp_mpz_to_asn1(this->q), gmp_mpz_to_asn1(this->exp1), gmp_mpz_to_asn1(this->exp2), gmp_mpz_to_asn1(this->coeff)); } /** * Implementation of gmp_rsa_private_key.destroy. */ static private_gmp_rsa_private_key_t* get_ref(private_gmp_rsa_private_key_t *this) { ref_get(&this->ref); return this; } /** * Implementation of gmp_rsa_private_key.destroy. */ static void destroy(private_gmp_rsa_private_key_t *this) { if (ref_put(&this->ref)) { mpz_clear_randomized(this->n); mpz_clear_randomized(this->e); mpz_clear_randomized(this->p); mpz_clear_randomized(this->q); mpz_clear_randomized(this->d); mpz_clear_randomized(this->exp1); mpz_clear_randomized(this->exp2); mpz_clear_randomized(this->coeff); DESTROY_IF(this->keyid); DESTROY_IF(this->keyid_info); free(this); } } /** * Check the loaded key if it is valid and usable */ static status_t check(private_gmp_rsa_private_key_t *this) { mpz_t t, u, q1; status_t status = SUCCESS; /* PKCS#1 1.5 section 6 requires modulus to have at least 12 octets. * We actually require more (for security). */ if (this->k < 512/8) { DBG1("key shorter than 512 bits"); return FAILED; } /* we picked a max modulus size to simplify buffer allocation */ if (this->k > 8192/8) { DBG1("key larger than 8192 bits"); return FAILED; } mpz_init(t); mpz_init(u); mpz_init(q1); /* check that n == p * q */ mpz_mul(u, this->p, this->q); if (mpz_cmp(u, this->n) != 0) { status = FAILED; } /* check that e divides neither p-1 nor q-1 */ mpz_sub_ui(t, this->p, 1); mpz_mod(t, t, this->e); if (mpz_cmp_ui(t, 0) == 0) { status = FAILED; } mpz_sub_ui(t, this->q, 1); mpz_mod(t, t, this->e); if (mpz_cmp_ui(t, 0) == 0) { status = FAILED; } /* check that d is e^-1 (mod lcm(p-1, q-1)) */ /* see PKCS#1v2, aka RFC 2437, for the "lcm" */ mpz_sub_ui(q1, this->q, 1); mpz_sub_ui(u, this->p, 1); mpz_gcd(t, u, q1); /* t := gcd(p-1, q-1) */ mpz_mul(u, u, q1); /* u := (p-1) * (q-1) */ mpz_divexact(u, u, t); /* u := lcm(p-1, q-1) */ mpz_mul(t, this->d, this->e); mpz_mod(t, t, u); if (mpz_cmp_ui(t, 1) != 0) { status = FAILED; } /* check that exp1 is d mod (p-1) */ mpz_sub_ui(u, this->p, 1); mpz_mod(t, this->d, u); if (mpz_cmp(t, this->exp1) != 0) { status = FAILED; } /* check that exp2 is d mod (q-1) */ mpz_sub_ui(u, this->q, 1); mpz_mod(t, this->d, u); if (mpz_cmp(t, this->exp2) != 0) { status = FAILED; } /* check that coeff is (q^-1) mod p */ mpz_mul(t, this->coeff, this->q); mpz_mod(t, t, this->p); if (mpz_cmp_ui(t, 1) != 0) { status = FAILED; } mpz_clear_randomized(t); mpz_clear_randomized(u); mpz_clear_randomized(q1); if (status != SUCCESS) { DBG1("key integrity tests failed"); } return status; } /** * Internal generic constructor */ static private_gmp_rsa_private_key_t *gmp_rsa_private_key_create_empty(void) { private_gmp_rsa_private_key_t *this = malloc_thing(private_gmp_rsa_private_key_t); this->public.interface.get_type = (key_type_t (*)(private_key_t *this))get_type; this->public.interface.sign = (bool (*)(private_key_t *this, signature_scheme_t scheme, chunk_t data, chunk_t *signature))sign; this->public.interface.decrypt = (bool (*)(private_key_t *this, chunk_t crypto, chunk_t *plain))decrypt; this->public.interface.get_keysize = (size_t (*) (private_key_t *this))get_keysize; this->public.interface.get_id = (identification_t* (*) (private_key_t *this,id_type_t))get_id; this->public.interface.get_public_key = (public_key_t* (*)(private_key_t *this))get_public_key; this->public.interface.belongs_to = (bool (*) (private_key_t *this, public_key_t *public))belongs_to; this->public.interface.get_encoding = (chunk_t(*)(private_key_t*))get_encoding; this->public.interface.get_ref = (private_key_t* (*)(private_key_t *this))get_ref; this->public.interface.destroy = (void (*)(private_key_t *this))destroy; this->keyid = NULL; this->keyid_info = NULL; this->ref = 1; return this; } /** * Generate an RSA key of specified key size */ static gmp_rsa_private_key_t *generate(size_t key_size) { mpz_t p, q, n, e, d, exp1, exp2, coeff; mpz_t m, q1, t; private_gmp_rsa_private_key_t *this = gmp_rsa_private_key_create_empty(); key_size = key_size / 8; /* Get values of primes p and q */ if (compute_prime(this, key_size/2, &p) != SUCCESS) { free(this); return NULL; } if (compute_prime(this, key_size/2, &q) != SUCCESS) { mpz_clear(p); free(this); return NULL; } mpz_init(t); mpz_init(n); mpz_init(d); mpz_init(exp1); mpz_init(exp2); mpz_init(coeff); /* Swapping Primes so p is larger then q */ if (mpz_cmp(p, q) < 0) { mpz_swap(p, q); } mpz_mul(n, p, q); /* n = p*q */ mpz_init_set_ui(e, PUBLIC_EXPONENT); /* assign public exponent */ mpz_init_set(m, p); /* m = p */ mpz_sub_ui(m, m, 1); /* m = m -1 */ mpz_init_set(q1, q); /* q1 = q */ mpz_sub_ui(q1, q1, 1); /* q1 = q1 -1 */ mpz_gcd(t, m, q1); /* t = gcd(p-1, q-1) */ mpz_mul(m, m, q1); /* m = (p-1)*(q-1) */ mpz_divexact(m, m, t); /* m = m / t */ mpz_gcd(t, m, e); /* t = gcd(m, e) */ mpz_invert(d, e, m); /* e has an inverse mod m */ if (mpz_cmp_ui(d, 0) < 0) /* make sure d is positive */ { mpz_add(d, d, m); } mpz_sub_ui(t, p, 1); /* t = p-1 */ mpz_mod(exp1, d, t); /* exp1 = d mod p-1 */ mpz_sub_ui(t, q, 1); /* t = q-1 */ mpz_mod(exp2, d, t); /* exp2 = d mod q-1 */ mpz_invert(coeff, q, p); /* coeff = q^-1 mod p */ if (mpz_cmp_ui(coeff, 0) < 0) /* make coeff d is positive */ { mpz_add(coeff, coeff, p); } mpz_clear_randomized(q1); mpz_clear_randomized(m); mpz_clear_randomized(t); /* apply values */ *(this->p) = *p; *(this->q) = *q; *(this->n) = *n; *(this->e) = *e; *(this->d) = *d; *(this->exp1) = *exp1; *(this->exp2) = *exp2; *(this->coeff) = *coeff; /* set key size in bytes */ this->k = key_size; return &this->public; } /** * ASN.1 definition of a PKCS#1 RSA private key */ static const asn1Object_t privkeyObjects[] = { { 0, "RSAPrivateKey", ASN1_SEQUENCE, ASN1_NONE }, /* 0 */ { 1, "version", ASN1_INTEGER, ASN1_BODY }, /* 1 */ { 1, "modulus", ASN1_INTEGER, ASN1_BODY }, /* 2 */ { 1, "publicExponent", ASN1_INTEGER, ASN1_BODY }, /* 3 */ { 1, "privateExponent", ASN1_INTEGER, ASN1_BODY }, /* 4 */ { 1, "prime1", ASN1_INTEGER, ASN1_BODY }, /* 5 */ { 1, "prime2", ASN1_INTEGER, ASN1_BODY }, /* 6 */ { 1, "exponent1", ASN1_INTEGER, ASN1_BODY }, /* 7 */ { 1, "exponent2", ASN1_INTEGER, ASN1_BODY }, /* 8 */ { 1, "coefficient", ASN1_INTEGER, ASN1_BODY }, /* 9 */ { 1, "otherPrimeInfos", ASN1_SEQUENCE, ASN1_OPT | ASN1_LOOP }, /* 10 */ { 2, "otherPrimeInfo", ASN1_SEQUENCE, ASN1_NONE }, /* 11 */ { 3, "prime", ASN1_INTEGER, ASN1_BODY }, /* 12 */ { 3, "exponent", ASN1_INTEGER, ASN1_BODY }, /* 13 */ { 3, "coefficient", ASN1_INTEGER, ASN1_BODY }, /* 14 */ { 1, "end opt or loop", ASN1_EOC, ASN1_END }, /* 15 */ { 0, "exit", ASN1_EOC, ASN1_EXIT } }; #define PRIV_KEY_VERSION 1 #define PRIV_KEY_MODULUS 2 #define PRIV_KEY_PUB_EXP 3 #define PRIV_KEY_PRIV_EXP 4 #define PRIV_KEY_PRIME1 5 #define PRIV_KEY_PRIME2 6 #define PRIV_KEY_EXP1 7 #define PRIV_KEY_EXP2 8 #define PRIV_KEY_COEFF 9 /** * load private key from a ASN1 encoded blob */ static gmp_rsa_private_key_t *load(chunk_t blob) { asn1_parser_t *parser; chunk_t object; int objectID ; bool success = FALSE; private_gmp_rsa_private_key_t *this = gmp_rsa_private_key_create_empty(); mpz_init(this->n); mpz_init(this->e); mpz_init(this->p); mpz_init(this->q); mpz_init(this->d); mpz_init(this->exp1); mpz_init(this->exp2); mpz_init(this->coeff); parser = asn1_parser_create(privkeyObjects, blob); parser->set_flags(parser, FALSE, TRUE); while (parser->iterate(parser, &objectID, &object)) { switch (objectID) { case PRIV_KEY_VERSION: if (object.len > 0 && *object.ptr != 0) { goto end; } break; case PRIV_KEY_MODULUS: mpz_import(this->n, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_PUB_EXP: mpz_import(this->e, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_PRIV_EXP: mpz_import(this->d, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_PRIME1: mpz_import(this->p, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_PRIME2: mpz_import(this->q, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_EXP1: mpz_import(this->exp1, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_EXP2: mpz_import(this->exp2, object.len, 1, 1, 1, 0, object.ptr); break; case PRIV_KEY_COEFF: mpz_import(this->coeff, object.len, 1, 1, 1, 0, object.ptr); break; } } success = parser->success(parser); end: parser->destroy(parser); chunk_clear(&blob); if (!success) { destroy(this); return NULL; } this->k = (mpz_sizeinbase(this->n, 2) + 7) / BITS_PER_BYTE; if (!gmp_rsa_public_key_build_id(this->n, this->e, &this->keyid, &this->keyid_info)) { destroy(this); return NULL; } if (check(this) != SUCCESS) { destroy(this); return NULL; } return &this->public; } typedef struct private_builder_t private_builder_t; /** * Builder implementation for key loading/generation */ struct private_builder_t { /** implements the builder interface */ builder_t public; /** loaded/generated private key */ gmp_rsa_private_key_t *key; }; /** * Implementation of builder_t.build */ static gmp_rsa_private_key_t *build(private_builder_t *this) { gmp_rsa_private_key_t *key = this->key; free(this); return key; } /** * Implementation of builder_t.add */ static void add(private_builder_t *this, builder_part_t part, ...) { if (!this->key) { va_list args; chunk_t chunk; switch (part) { case BUILD_BLOB_ASN1_DER: { va_start(args, part); chunk = va_arg(args, chunk_t); this->key = load(chunk_clone(chunk)); va_end(args); return; } case BUILD_KEY_SIZE: { va_start(args, part); this->key = generate(va_arg(args, u_int)); va_end(args); return; } default: break; } } if (this->key) { destroy((private_gmp_rsa_private_key_t*)this->key); } builder_cancel(&this->public); } /** * Builder construction function */ builder_t *gmp_rsa_private_key_builder(key_type_t type) { private_builder_t *this; if (type != KEY_RSA) { return NULL; } this = malloc_thing(private_builder_t); this->key = NULL; this->public.add = (void(*)(builder_t *this, builder_part_t part, ...))add; this->public.build = (void*(*)(builder_t *this))build; return &this->public; }