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-rw-r--r--cipher/rsa.c93
1 files changed, 90 insertions, 3 deletions
diff --git a/cipher/rsa.c b/cipher/rsa.c
index 36b0802e2..2daa0547f 100644
--- a/cipher/rsa.c
+++ b/cipher/rsa.c
@@ -98,7 +98,7 @@ generate( RSA_secret_key *sk, unsigned nbits )
MPI t1, t2;
MPI n; /* the public key */
MPI e; /* the exponent */
- MPI phi; /* helper: (p-a)(q-1) */
+ MPI phi; /* helper: (p-1)(q-1) */
MPI g;
MPI f;
@@ -201,19 +201,106 @@ public(MPI output, MPI input, RSA_public_key *pkey )
mpi_powm( output, input, pkey->e, pkey->n );
}
+#if 0
+static void
+stronger_key_check ( RSA_secret_key *skey )
+{
+ MPI t = mpi_alloc_secure ( 0 );
+ MPI t1 = mpi_alloc_secure ( 0 );
+ MPI t2 = mpi_alloc_secure ( 0 );
+ MPI phi = mpi_alloc_secure ( 0 );
+
+ /* check that n == p * q */
+ mpi_mul( t, skey->p, skey->q);
+ if (mpi_cmp( t, skey->n) )
+ log_info ( "RSA Oops: n != p * q\n" );
+
+ /* check that p is less than q */
+ if( mpi_cmp( skey->p, skey->q ) > 0 )
+ log_info ("RSA Oops: p >= q\n");
+
+
+ /* check that e divides neither p-1 nor q-1 */
+ mpi_sub_ui(t, skey->p, 1 );
+ mpi_fdiv_r(t, t, skey->e );
+ if ( !mpi_cmp_ui( t, 0) )
+ log_info ( "RSA Oops: e divides p-1\n" );
+ mpi_sub_ui(t, skey->q, 1 );
+ mpi_fdiv_r(t, t, skey->e );
+ if ( !mpi_cmp_ui( t, 0) )
+ log_info ( "RSA Oops: e divides q-1\n" );
+
+ /* check that d is correct */
+ mpi_sub_ui( t1, skey->p, 1 );
+ mpi_sub_ui( t2, skey->q, 1 );
+ mpi_mul( phi, t1, t2 );
+ mpi_gcd(t, t1, t2);
+ mpi_fdiv_q(t, phi, t);
+ mpi_invm(t, skey->e, t );
+ if ( mpi_cmp(t, skey->d ) )
+ log_info ( "RSA Oops: d is wrong\n");
+
+ /* check for crrectness of u */
+ mpi_invm(t, skey->p, skey->q );
+ if ( mpi_cmp(t, skey->u ) )
+ log_info ( "RSA Oops: u is wrong\n");
+
+ log_info ( "RSA secret key check finished\n");
+
+ mpi_free (t);
+ mpi_free (t1);
+ mpi_free (t2);
+ mpi_free (phi);
+}
+#endif
+
+
/****************
* Secret key operation. Encrypt INPUT with SKEY and put result into OUTPUT.
*
* m = c^d mod n
*
- * Where m is OUTPUT, c is INPUT and d,n are elements of PKEY.
+ * Or faster:
+ *
+ * m1 = c ^ (d mod (p-1)) mod p
+ * m2 = c ^ (d mod (q-1)) mod q
+ * h = u * (m2 - m1) mod q
+ * m = m1 + h * p
*
- * FIXME: We should better use the Chinese Remainder Theorem
+ * Where m is OUTPUT, c is INPUT and d,n,p,q,u are elements of SKEY.
*/
static void
secret(MPI output, MPI input, RSA_secret_key *skey )
{
+ #if 0
mpi_powm( output, input, skey->d, skey->n );
+ #else
+ MPI m1 = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
+ MPI m2 = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
+ MPI h = mpi_alloc_secure( mpi_get_nlimbs(skey->n)+1 );
+
+ /* m1 = c ^ (d mod (p-1)) mod p */
+ mpi_sub_ui( h, skey->p, 1 );
+ mpi_fdiv_r( h, skey->d, h );
+ mpi_powm( m1, input, h, skey->p );
+ /* m2 = c ^ (d mod (q-1)) mod q */
+ mpi_sub_ui( h, skey->q, 1 );
+ mpi_fdiv_r( h, skey->d, h );
+ mpi_powm( m2, input, h, skey->q );
+ /* h = u * ( m2 - m1 ) mod q */
+ mpi_sub( h, m2, m1 );
+ if ( mpi_is_neg( h ) )
+ mpi_add ( h, h, skey->q );
+ mpi_mulm( h, skey->u, h, skey->q );
+ /* m = m2 + h * p */
+ mpi_mul ( h, h, skey->p );
+ mpi_add ( output, m1, h );
+ /* ready */
+
+ mpi_free ( h );
+ mpi_free ( m1 );
+ mpi_free ( m2 );
+ #endif
}