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Diffstat (limited to 'programs/pluto/elgamal.c')
-rw-r--r-- | programs/pluto/elgamal.c | 613 |
1 files changed, 613 insertions, 0 deletions
diff --git a/programs/pluto/elgamal.c b/programs/pluto/elgamal.c new file mode 100644 index 000000000..0c099bb90 --- /dev/null +++ b/programs/pluto/elgamal.c @@ -0,0 +1,613 @@ +/* elgamal.c - ElGamal Public Key encryption + * Copyright (C) 1998 Free Software Foundation, Inc. + * + * For a description of the algorithm, see: + * Bruce Schneier: Applied Cryptography. John Wiley & Sons, 1996. + * ISBN 0-471-11709-9. Pages 476 ff. + * + * This file is part of GnuPG. + * + * GnuPG 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. + * + * GnuPG 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. + * + * You should have received a copy of the GNU General Public License + * along with this program; if not, write to the Free Software + * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA + */ + +#ifdef PLUTO +#include <gmp.h> +#include <freeswan.h> +#include "constants.h" +#include "defs.h" +#include "log.h" +#include "rnd.h" +#include "gcryptfix.h" +#else /*! PLUTO */ +/* #include <config.h> */ +#endif /* !PLUTO */ + +#include <stdio.h> +#include <stdlib.h> +#include <string.h> + +#ifndef PLUTO +/* #include "util.h" */ +/* #include "mpi.h" */ +/* #include "cipher.h" */ +#endif + +#include "elgamal.h" + +typedef struct { + MPI p; /* prime */ + MPI g; /* group generator */ + MPI y; /* g^x mod p */ +} ELG_public_key; + + +typedef struct { + MPI p; /* prime */ + MPI g; /* group generator */ + MPI y; /* g^x mod p */ + MPI x; /* secret exponent */ +} ELG_secret_key; + + +static void test_keys( ELG_secret_key *sk, unsigned nbits ); +static MPI gen_k( MPI p ); +static void generate( ELG_secret_key *sk, unsigned nbits, MPI **factors ); +static int check_secret_key( ELG_secret_key *sk ); +static void encrypt(MPI a, MPI b, MPI input, ELG_public_key *pkey ); +static void decrypt(MPI output, MPI a, MPI b, ELG_secret_key *skey ); +static void sign(MPI a, MPI b, MPI input, ELG_secret_key *skey); +static int verify(MPI a, MPI b, MPI input, ELG_public_key *pkey); + + +static void +progress( int c ) +{ + fputc( c, stderr ); +} + + +static void +test_keys( ELG_secret_key *sk, unsigned nbits ) +{ + ELG_public_key pk; + MPI test = mpi_alloc( 0 ); + MPI out1_a = mpi_alloc( nbits / BITS_PER_MPI_LIMB ); + MPI out1_b = mpi_alloc( nbits / BITS_PER_MPI_LIMB ); + MPI out2 = mpi_alloc( nbits / BITS_PER_MPI_LIMB ); + + pk.p = sk->p; + pk.g = sk->g; + pk.y = sk->y; + + /*mpi_set_bytes( test, nbits, get_random_byte, 0 );*/ + { char *p = get_random_bits( nbits, 0, 0 ); + mpi_set_buffer( test, p, (nbits+7)/8, 0 ); + m_free(p); + } + + encrypt( out1_a, out1_b, test, &pk ); + decrypt( out2, out1_a, out1_b, sk ); + if( mpi_cmp( test, out2 ) ) + log_fatal("ElGamal operation: encrypt, decrypt failed\n"); + + sign( out1_a, out1_b, test, sk ); + if( !verify( out1_a, out1_b, test, &pk ) ) + log_fatal("ElGamal operation: sign, verify failed\n"); + + mpi_free( test ); + mpi_free( out1_a ); + mpi_free( out1_b ); + mpi_free( out2 ); +} + + +/**************** + * generate a random secret exponent k from prime p, so + * that k is relatively prime to p-1 + */ +static MPI +gen_k( MPI p ) +{ + MPI k = mpi_alloc_secure( 0 ); + MPI temp = mpi_alloc( mpi_get_nlimbs(p) ); + MPI p_1 = mpi_copy(p); + unsigned int nbits = mpi_get_nbits(p); + unsigned int nbytes = (nbits+7)/8; + char *rndbuf = NULL; + + if( DBG_CIPHER ) + log_debug("choosing a random k "); + mpi_sub_ui( p_1, p, 1); + for(;;) { + if( DBG_CIPHER ) + progress('.'); + if( !rndbuf || nbits < 32 ) { + m_free(rndbuf); + rndbuf = get_random_bits( nbits, 1, 1 ); + } + else { /* change only some of the higher bits */ + /* we could imporove this by directly requesting more memory + * at the first call to get_random_bits() and use this the here + * maybe it is easier to do this directly in random.c */ + char *pp = get_random_bits( 32, 1, 1 ); + memcpy( rndbuf,pp, 4 ); + m_free(pp); + } + mpi_set_buffer( k, rndbuf, nbytes, 0 ); + + for(;;) { + /* make sure that the number is of the exact lenght */ + if( mpi_test_bit( k, nbits-1 ) ) + mpi_set_highbit( k, nbits-1 ); + else { + mpi_set_highbit( k, nbits-1 ); + mpi_clear_bit( k, nbits-1 ); + } + if( !(mpi_cmp( k, p_1 ) < 0) ) { /* check: k < (p-1) */ + if( DBG_CIPHER ) + progress('+'); + break; /* no */ + } + if( !(mpi_cmp_ui( k, 0 ) > 0) ) { /* check: k > 0 */ + if( DBG_CIPHER ) + progress('-'); + break; /* no */ + } + if( mpi_gcd( temp, k, p_1 ) ) + goto found; /* okay, k is relatively prime to (p-1) */ + mpi_add_ui( k, k, 1 ); + } + } + found: + m_free(rndbuf); + if( DBG_CIPHER ) + progress('\n'); + mpi_free(p_1); + mpi_free(temp); + + return k; +} + +/**************** + * Generate a key pair with a key of size NBITS + * Returns: 2 structures filles with all needed values + * and an array with n-1 factors of (p-1) + */ +static void +generate( ELG_secret_key *sk, unsigned nbits, MPI **ret_factors ) +{ + MPI p; /* the prime */ + MPI p_min1; + MPI g; + MPI x; /* the secret exponent */ + MPI y; + MPI temp; + unsigned qbits; + byte *rndbuf; + + p_min1 = mpi_alloc( (nbits+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB ); + temp = mpi_alloc( (nbits+BITS_PER_MPI_LIMB-1)/BITS_PER_MPI_LIMB ); + if( nbits < 512 ) + qbits = 120; + else if( nbits <= 1024 ) + qbits = 160; + else if( nbits <= 2048 ) + qbits = 200; + else + qbits = 240; + g = mpi_alloc(1); + p = generate_elg_prime( 0, nbits, qbits, g, ret_factors ); + mpi_sub_ui(p_min1, p, 1); + + + /* select a random number which has these properties: + * 0 < x < p-1 + * This must be a very good random number because this is the + * secret part. The prime is public and may be shared anyway, + * so a random generator level of 1 is used for the prime. + */ + x = mpi_alloc_secure( nbits/BITS_PER_MPI_LIMB ); + if( DBG_CIPHER ) + log_debug("choosing a random x "); + rndbuf = NULL; + do { + if( DBG_CIPHER ) + progress('.'); + if( rndbuf ) { /* change only some of the higher bits */ + if( nbits < 16 ) {/* should never happen ... */ + m_free(rndbuf); + rndbuf = get_random_bits( nbits, 2, 1 ); + } + else { + char *r = get_random_bits( 16, 2, 1 ); + memcpy(rndbuf, r, 16/8 ); + m_free(r); + } + } + else + rndbuf = get_random_bits( nbits, 2, 1 ); + mpi_set_buffer( x, rndbuf, (nbits+7)/8, 0 ); + mpi_clear_highbit( x, nbits+1 ); + } while( !( mpi_cmp_ui( x, 0 )>0 && mpi_cmp( x, p_min1 )<0 ) ); + m_free(rndbuf); + + y = mpi_alloc(nbits/BITS_PER_MPI_LIMB); + mpi_powm( y, g, x, p ); + + if( DBG_CIPHER ) { + progress('\n'); + log_mpidump("elg p= ", p ); + log_mpidump("elg g= ", g ); + log_mpidump("elg y= ", y ); + log_mpidump("elg x= ", x ); + } + + /* copy the stuff to the key structures */ + sk->p = p; + sk->g = g; + sk->y = y; + sk->x = x; + + /* now we can test our keys (this should never fail!) */ + test_keys( sk, nbits - 64 ); + + mpi_free( p_min1 ); + mpi_free( temp ); +} + + +/**************** + * Test whether the secret key is valid. + * Returns: if this is a valid key. + */ +static int +check_secret_key( ELG_secret_key *sk ) +{ + int rc; + MPI y = mpi_alloc( mpi_get_nlimbs(sk->y) ); + + mpi_powm( y, sk->g, sk->x, sk->p ); + rc = !mpi_cmp( y, sk->y ); + mpi_free( y ); + return rc; +} + + +static void +encrypt(MPI a, MPI b, MPI input, ELG_public_key *pkey ) +{ + MPI k; + + /* Note: maybe we should change the interface, so that it + * is possible to check that input is < p and return an + * error code. + */ + + k = gen_k( pkey->p ); + mpi_powm( a, pkey->g, k, pkey->p ); + /* b = (y^k * input) mod p + * = ((y^k mod p) * (input mod p)) mod p + * and because input is < p + * = ((y^k mod p) * input) mod p + */ + mpi_powm( b, pkey->y, k, pkey->p ); + mpi_mulm( b, b, input, pkey->p ); + #if 0 + if( DBG_CIPHER ) { + log_mpidump("elg encrypted y= ", pkey->y); + log_mpidump("elg encrypted p= ", pkey->p); + log_mpidump("elg encrypted k= ", k); + log_mpidump("elg encrypted M= ", input); + log_mpidump("elg encrypted a= ", a); + log_mpidump("elg encrypted b= ", b); + } + #endif + mpi_free(k); +} + + + + +static void +decrypt(MPI output, MPI a, MPI b, ELG_secret_key *skey ) +{ + MPI t1 = mpi_alloc_secure( mpi_get_nlimbs( skey->p ) ); + + /* output = b/(a^x) mod p */ + + mpi_powm( t1, a, skey->x, skey->p ); + mpi_invm( t1, t1, skey->p ); + mpi_mulm( output, b, t1, skey->p ); + #if 0 + if( DBG_CIPHER ) { + log_mpidump("elg decrypted x= ", skey->x); + log_mpidump("elg decrypted p= ", skey->p); + log_mpidump("elg decrypted a= ", a); + log_mpidump("elg decrypted b= ", b); + log_mpidump("elg decrypted M= ", output); + } + #endif + mpi_free(t1); +} + + +/**************** + * Make an Elgamal signature out of INPUT + */ + +static void +sign(MPI a, MPI b, MPI input, ELG_secret_key *skey ) +{ + MPI k; + MPI t = mpi_alloc( mpi_get_nlimbs(a) ); + MPI inv = mpi_alloc( mpi_get_nlimbs(a) ); + MPI p_1 = mpi_copy(skey->p); + + /* + * b = (t * inv) mod (p-1) + * b = (t * inv(k,(p-1),(p-1)) mod (p-1) + * b = (((M-x*a) mod (p-1)) * inv(k,(p-1),(p-1))) mod (p-1) + * + */ + mpi_sub_ui(p_1, p_1, 1); + k = gen_k( skey->p ); + mpi_powm( a, skey->g, k, skey->p ); + mpi_mul(t, skey->x, a ); + mpi_subm(t, input, t, p_1 ); + while( mpi_is_neg(t) ) + mpi_add(t, t, p_1); + mpi_invm(inv, k, p_1 ); + mpi_mulm(b, t, inv, p_1 ); + + #if 0 + if( DBG_CIPHER ) { + log_mpidump("elg sign p= ", skey->p); + log_mpidump("elg sign g= ", skey->g); + log_mpidump("elg sign y= ", skey->y); + log_mpidump("elg sign x= ", skey->x); + log_mpidump("elg sign k= ", k); + log_mpidump("elg sign M= ", input); + log_mpidump("elg sign a= ", a); + log_mpidump("elg sign b= ", b); + } + #endif + mpi_free(k); + mpi_free(t); + mpi_free(inv); + mpi_free(p_1); +} + + +/**************** + * Returns true if the signature composed of A and B is valid. + */ +static int +verify(MPI a, MPI b, MPI input, ELG_public_key *pkey ) +{ + int rc; + MPI t1; + MPI t2; + MPI base[4]; + MPI exp[4]; + + if( !(mpi_cmp_ui( a, 0 ) > 0 && mpi_cmp( a, pkey->p ) < 0) ) + return 0; /* assertion 0 < a < p failed */ + + t1 = mpi_alloc( mpi_get_nlimbs(a) ); + t2 = mpi_alloc( mpi_get_nlimbs(a) ); + + #if 0 + /* t1 = (y^a mod p) * (a^b mod p) mod p */ + mpi_powm( t1, pkey->y, a, pkey->p ); + mpi_powm( t2, a, b, pkey->p ); + mpi_mulm( t1, t1, t2, pkey->p ); + + /* t2 = g ^ input mod p */ + mpi_powm( t2, pkey->g, input, pkey->p ); + + rc = !mpi_cmp( t1, t2 ); + #elif 0 + /* t1 = (y^a mod p) * (a^b mod p) mod p */ + base[0] = pkey->y; exp[0] = a; + base[1] = a; exp[1] = b; + base[2] = NULL; exp[2] = NULL; + mpi_mulpowm( t1, base, exp, pkey->p ); + + /* t2 = g ^ input mod p */ + mpi_powm( t2, pkey->g, input, pkey->p ); + + rc = !mpi_cmp( t1, t2 ); + #else + /* t1 = g ^ - input * y ^ a * a ^ b mod p */ + mpi_invm(t2, pkey->g, pkey->p ); + base[0] = t2 ; exp[0] = input; + base[1] = pkey->y; exp[1] = a; + base[2] = a; exp[2] = b; + base[3] = NULL; exp[3] = NULL; + mpi_mulpowm( t1, base, exp, pkey->p ); + rc = !mpi_cmp_ui( t1, 1 ); + + #endif + + mpi_free(t1); + mpi_free(t2); + return rc; +} + +/********************************************* + ************** interface ****************** + *********************************************/ + +int +elg_generate( int algo, unsigned nbits, MPI *skey, MPI **retfactors ) +{ + ELG_secret_key sk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + + generate( &sk, nbits, retfactors ); + skey[0] = sk.p; + skey[1] = sk.g; + skey[2] = sk.y; + skey[3] = sk.x; + return 0; +} + + +int +elg_check_secret_key( int algo, MPI *skey ) +{ + ELG_secret_key sk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + if( !skey[0] || !skey[1] || !skey[2] || !skey[3] ) + return G10ERR_BAD_MPI; + + sk.p = skey[0]; + sk.g = skey[1]; + sk.y = skey[2]; + sk.x = skey[3]; + if( !check_secret_key( &sk ) ) + return G10ERR_BAD_SECKEY; + + return 0; +} + + + +int +elg_encrypt( int algo, MPI *resarr, MPI data, MPI *pkey ) +{ + ELG_public_key pk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + if( !data || !pkey[0] || !pkey[1] || !pkey[2] ) + return G10ERR_BAD_MPI; + + pk.p = pkey[0]; + pk.g = pkey[1]; + pk.y = pkey[2]; + resarr[0] = mpi_alloc( mpi_get_nlimbs( pk.p ) ); + resarr[1] = mpi_alloc( mpi_get_nlimbs( pk.p ) ); + encrypt( resarr[0], resarr[1], data, &pk ); + return 0; +} + +int +elg_decrypt( int algo, MPI *result, MPI *data, MPI *skey ) +{ + ELG_secret_key sk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + if( !data[0] || !data[1] + || !skey[0] || !skey[1] || !skey[2] || !skey[3] ) + return G10ERR_BAD_MPI; + + sk.p = skey[0]; + sk.g = skey[1]; + sk.y = skey[2]; + sk.x = skey[3]; + *result = mpi_alloc_secure( mpi_get_nlimbs( sk.p ) ); + decrypt( *result, data[0], data[1], &sk ); + return 0; +} + +int +elg_sign( int algo, MPI *resarr, MPI data, MPI *skey ) +{ + ELG_secret_key sk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + if( !data || !skey[0] || !skey[1] || !skey[2] || !skey[3] ) + return G10ERR_BAD_MPI; + + sk.p = skey[0]; + sk.g = skey[1]; + sk.y = skey[2]; + sk.x = skey[3]; + resarr[0] = mpi_alloc( mpi_get_nlimbs( sk.p ) ); + resarr[1] = mpi_alloc( mpi_get_nlimbs( sk.p ) ); + sign( resarr[0], resarr[1], data, &sk ); + return 0; +} + +int +elg_verify( int algo, MPI hash, MPI *data, MPI *pkey, + int (*cmp)(void *, MPI) UNUSED, void *opaquev UNUSED) +{ + ELG_public_key pk; + + if( !is_ELGAMAL(algo) ) + return G10ERR_PUBKEY_ALGO; + if( !data[0] || !data[1] || !hash + || !pkey[0] || !pkey[1] || !pkey[2] ) + return G10ERR_BAD_MPI; + + pk.p = pkey[0]; + pk.g = pkey[1]; + pk.y = pkey[2]; + if( !verify( data[0], data[1], hash, &pk ) ) + return G10ERR_BAD_SIGN; + return 0; +} + + + +unsigned +elg_get_nbits( int algo, MPI *pkey ) +{ + if( !is_ELGAMAL(algo) ) + return 0; + return mpi_get_nbits( pkey[0] ); +} + + +/**************** + * Return some information about the algorithm. We need algo here to + * distinguish different flavors of the algorithm. + * Returns: A pointer to string describing the algorithm or NULL if + * the ALGO is invalid. + * Usage: Bit 0 set : allows signing + * 1 set : allows encryption + * NOTE: This function allows signing also for ELG-E, which is not + * okay but a bad hack to allow to work with old gpg keys. The real check + * is done in the gnupg ocde depending on the packet version. + */ +const char * +elg_get_info( int algo, int *npkey, int *nskey, int *nenc, int *nsig, + int *use ) +{ + *npkey = 3; + *nskey = 4; + *nenc = 2; + *nsig = 2; + + switch( algo ) { + case PUBKEY_ALGO_ELGAMAL: + *use = PUBKEY_USAGE_SIG|PUBKEY_USAGE_ENC; + return "ELG"; + case PUBKEY_ALGO_ELGAMAL_E: + *use = PUBKEY_USAGE_SIG|PUBKEY_USAGE_ENC; + return "ELG-E"; + default: *use = 0; return NULL; + } +} + + |