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* elgamal.c (gen_k): New arg SMALL_K. (sign): Use it here with SMALL_K set
to false (do_encrypt): and here with SMALL_K set to true. From Werner on devel branch.
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@ -1,3 +1,10 @@
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2003-11-29 David Shaw <dshaw@jabberwocky.com>
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* elgamal.c (gen_k): New arg SMALL_K.
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(sign): Use it here with SMALL_K set to false
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(do_encrypt): and here with SMALL_K set to true. From Werner on
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devel branch.
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2003-10-10 Werner Koch <wk@gnupg.org>
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* primegen.c (gen_prime): Bail out if we try to generate a prime
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@ -1,5 +1,5 @@
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/* elgamal.c - ElGamal Public Key encryption
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* Copyright (C) 1998, 2000, 2001 Free Software Foundation, Inc.
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/* elgamal.c - elgamal Public Key encryption
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* Copyright (C) 1998, 2000, 2001, 2003 Free Software Foundation, Inc.
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*
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* For a description of the algorithm, see:
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* Bruce Schneier: Applied Cryptography. John Wiley & Sons, 1996.
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@ -47,7 +47,7 @@ typedef struct {
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static void test_keys( ELG_secret_key *sk, unsigned nbits );
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static MPI gen_k( MPI p );
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static MPI gen_k( MPI p, int small_k );
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static void generate( ELG_secret_key *sk, unsigned nbits, MPI **factors );
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static int check_secret_key( ELG_secret_key *sk );
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static void do_encrypt(MPI a, MPI b, MPI input, ELG_public_key *pkey );
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@ -139,11 +139,11 @@ test_keys( ELG_secret_key *sk, unsigned nbits )
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do_encrypt( out1_a, out1_b, test, &pk );
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decrypt( out2, out1_a, out1_b, sk );
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if( mpi_cmp( test, out2 ) )
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log_fatal("ElGamal operation: encrypt, decrypt failed\n");
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log_fatal("Elgamal operation: encrypt, decrypt failed\n");
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sign( out1_a, out1_b, test, sk );
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if( !verify( out1_a, out1_b, test, &pk ) )
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log_fatal("ElGamal operation: sign, verify failed\n");
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log_fatal("Elgamal operation: sign, verify failed\n");
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mpi_free( test );
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mpi_free( out1_a );
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@ -153,11 +153,12 @@ test_keys( ELG_secret_key *sk, unsigned nbits )
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/****************
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* generate a random secret exponent k from prime p, so
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* that k is relatively prime to p-1
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* Generate a random secret exponent k from prime p, so that k is
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* relatively prime to p-1. With SMALL_K set, k will be selected for
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* better encryption performance - this must never bee used signing!
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*/
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static MPI
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gen_k( MPI p )
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gen_k( MPI p, int small_k )
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{
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MPI k = mpi_alloc_secure( 0 );
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MPI temp = mpi_alloc( mpi_get_nlimbs(p) );
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@ -167,13 +168,18 @@ gen_k( MPI p )
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unsigned int nbytes;
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char *rndbuf = NULL;
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/* IMO using a k much lesser than p is sufficient and it greatly
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* improves the encryption performance. We use Wiener's table
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* and add a large safety margin.
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*/
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nbits = wiener_map( orig_nbits ) * 3 / 2;
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if( nbits >= orig_nbits )
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BUG();
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if (small_k)
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{
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/* Using a k much lesser than p is sufficient for encryption and
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* it greatly improves the encryption performance. We use
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* Wiener's table and add a large safety margin.
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*/
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nbits = wiener_map( orig_nbits ) * 3 / 2;
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if( nbits >= orig_nbits )
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BUG();
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}
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else
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nbits = orig_nbits;
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nbytes = (nbits+7)/8;
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if( DBG_CIPHER )
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@ -184,8 +190,8 @@ gen_k( MPI p )
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m_free(rndbuf);
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rndbuf = get_random_bits( nbits, 1, 1 );
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}
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else { /* change only some of the higher bits */
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/* we could impprove this by directly requesting more memory
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else { /* Change only some of the higher bits. */
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/* We could impprove this by directly requesting more memory
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* at the first call to get_random_bits() and use this the here
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* maybe it is easier to do this directly in random.c
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* Anyway, it is highly inlikely that we will ever reach this code
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@ -193,14 +199,10 @@ gen_k( MPI p )
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char *pp = get_random_bits( 32, 1, 1 );
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memcpy( rndbuf,pp, 4 );
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m_free(pp);
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log_debug("gen_k: tsss, never expected to reach this\n");
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}
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mpi_set_buffer( k, rndbuf, nbytes, 0 );
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for(;;) {
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/* Hmm, actually we don't need this step here
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* because we use k much smaller than p - we do it anyway
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* just in case the keep on adding a one to k ;) */
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if( !(mpi_cmp( k, p_1 ) < 0) ) { /* check: k < (p-1) */
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if( DBG_CIPHER )
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progress('+');
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@ -262,10 +264,13 @@ generate( ELG_secret_key *sk, unsigned int nbits, MPI **ret_factors )
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* secret part. The prime is public and may be shared anyway,
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* so a random generator level of 1 is used for the prime.
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*
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* I don't see a reason to have a x of about the same size
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* as the p. It should be sufficient to have one about the size
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* of q or the later used k plus a large safety margin. Decryption
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* will be much faster with such an x.
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* I don't see a reason to have a x of about the same size as the
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* p. It should be sufficient to have one about the size of q or
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* the later used k plus a large safety margin. Decryption will be
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* much faster with such an x. Note that this is not optimal for
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* signing keys becuase it makes an attack using accidential small
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* K values even easier. Well, one should not use ElGamal signing
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* anyway.
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*/
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xbits = qbits * 3 / 2;
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if( xbits >= nbits )
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@ -347,7 +352,7 @@ do_encrypt(MPI a, MPI b, MPI input, ELG_public_key *pkey )
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* error code.
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*/
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k = gen_k( pkey->p );
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k = gen_k( pkey->p, 1 );
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mpi_powm( a, pkey->g, k, pkey->p );
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/* b = (y^k * input) mod p
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* = ((y^k mod p) * (input mod p)) mod p
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@ -413,7 +418,7 @@ sign(MPI a, MPI b, MPI input, ELG_secret_key *skey )
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*
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*/
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mpi_sub_ui(p_1, p_1, 1);
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k = gen_k( skey->p );
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k = gen_k( skey->p, 0 /* no small K ! */ );
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mpi_powm( a, skey->g, k, skey->p );
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mpi_mul(t, skey->x, a );
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mpi_subm(t, input, t, p_1 );
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