/* rsa.h * * The RSA publickey algorithm. */ /* nettle, low-level cryptographics library * * Copyright (C) 2001 Niels M�ller * * The nettle library is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as published by * the Free Software Foundation; either version 2.1 of the License, or (at your * option) any later version. * * The nettle library 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 Lesser General Public * License for more details. * * You should have received a copy of the GNU Lesser General Public License * along with the nettle library; see the file COPYING.LIB. If not, write to * the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston, * MA 02111-1307, USA. */ #ifndef NETTLE_RSA_H_INCLUDED #define NETTLE_RSA_H_INCLUDED #include <inttypes.h> #include <gmp.h> #include "md5.h" #include "sha.h" struct rsa_public_key { /* Size of the modulo, in octets. This is also the size of all * signatures that are created or verified with this key. */ unsigned size; /* Modulo */ mpz_t n; /* Public exponent */ mpz_t e; }; struct rsa_private_key { struct rsa_public_key pub; /* Secret exponent */ mpz_t d; /* The two factors */ mpz_t p; mpz_t q; /* d % (p-1), i.e. a e = 1 (mod (p-1)) */ mpz_t a; /* d % (q-1), i.e. b e = 1 (mod (q-1)) */ mpz_t b; /* modular inverse of q , i.e. c q = 1 (mod p) */ mpz_t c; }; /* Signing a message works as follows: * * Store the private key in a rsa_private_key struct. * * Call rsa_prepare_private_key. This initializes the size attribute * to the length of a signature. * * Initialize a hashing context, by callling * md5_init * * Hash the message by calling * md5_update * * Create the signature by calling * rsa_md5_sign * * The signature is represented as a mpz_t bignum. This call also * resets the hashing context. * * When done with the key and signature, don't forget to call * mpz_clear. */ /* Calls mpz_init to initialize bignum storage. */ void rsa_init_public_key(struct rsa_public_key *key); /* Calls mpz_clear to deallocate bignum storage. */ void rsa_clear_public_key(struct rsa_public_key *key); int rsa_prepare_public_key(struct rsa_public_key *key); /* Calls mpz_init to initialize bignum storage. */ void rsa_init_private_key(struct rsa_private_key *key); /* Calls mpz_clear to deallocate bignum storage. */ void rsa_clear_private_key(struct rsa_private_key *key); int rsa_prepare_private_key(struct rsa_private_key *key); /* PKCS#1 style signatures */ void rsa_md5_sign(struct rsa_private_key *key, struct md5_ctx *hash, mpz_t signature); int rsa_md5_verify(struct rsa_public_key *key, struct md5_ctx *hash, const mpz_t signature); void rsa_sha1_sign(struct rsa_private_key *key, struct sha1_ctx *hash, mpz_t signature); int rsa_sha1_verify(struct rsa_public_key *key, struct sha1_ctx *hash, const mpz_t signature); /* Compute x, the d:th root of m. Calling it with x == m is allowed. */ void rsa_compute_root(struct rsa_private_key *key, mpz_t x, const mpz_t m); #endif /* NETTLE_RSA_H_INCLUDED */