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060c56871c
buffer after padding. For instance the premaster decryption in ssl_parse_client_key_exchange() in ssl_serv.c (Thanks to Christophe Devine)
738 lines
18 KiB
C
738 lines
18 KiB
C
/*
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* The RSA public-key cryptosystem
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*
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* Based on XySSL: Copyright (C) 2006-2008 Christophe Devine
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*
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* Copyright (C) 2009 Paul Bakker
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU General Public License as published by
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* the Free Software Foundation; either version 2 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU General Public License for more details.
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*
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* You should have received a copy of the GNU General Public License along
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* with this program; if not, write to the Free Software Foundation, Inc.,
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* 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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*/
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/*
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* RSA was designed by Ron Rivest, Adi Shamir and Len Adleman.
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*
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* http://theory.lcs.mit.edu/~rivest/rsapaper.pdf
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* http://www.cacr.math.uwaterloo.ca/hac/about/chap8.pdf
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*/
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#include "polarssl/config.h"
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#if defined(POLARSSL_RSA_C)
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#include "polarssl/rsa.h"
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#include <stdlib.h>
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#include <string.h>
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#include <stdio.h>
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/*
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* Initialize an RSA context
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*/
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void rsa_init( rsa_context *ctx,
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int padding,
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int hash_id,
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int (*f_rng)(void *),
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void *p_rng )
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{
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memset( ctx, 0, sizeof( rsa_context ) );
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ctx->padding = padding;
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ctx->hash_id = hash_id;
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ctx->f_rng = f_rng;
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ctx->p_rng = p_rng;
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}
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#if defined(POLARSSL_GENPRIME)
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/*
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* Generate an RSA keypair
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*/
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int rsa_gen_key( rsa_context *ctx, int nbits, int exponent )
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{
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int ret;
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mpi P1, Q1, H, G;
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if( ctx->f_rng == NULL || nbits < 128 || exponent < 3 )
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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mpi_init( &P1, &Q1, &H, &G, NULL );
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/*
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* find primes P and Q with Q < P so that:
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* GCD( E, (P-1)*(Q-1) ) == 1
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*/
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MPI_CHK( mpi_lset( &ctx->E, exponent ) );
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do
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{
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MPI_CHK( mpi_gen_prime( &ctx->P, ( nbits + 1 ) >> 1, 0,
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ctx->f_rng, ctx->p_rng ) );
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MPI_CHK( mpi_gen_prime( &ctx->Q, ( nbits + 1 ) >> 1, 0,
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ctx->f_rng, ctx->p_rng ) );
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if( mpi_cmp_mpi( &ctx->P, &ctx->Q ) < 0 )
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mpi_swap( &ctx->P, &ctx->Q );
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if( mpi_cmp_mpi( &ctx->P, &ctx->Q ) == 0 )
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continue;
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MPI_CHK( mpi_mul_mpi( &ctx->N, &ctx->P, &ctx->Q ) );
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if( mpi_msb( &ctx->N ) != nbits )
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continue;
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MPI_CHK( mpi_sub_int( &P1, &ctx->P, 1 ) );
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MPI_CHK( mpi_sub_int( &Q1, &ctx->Q, 1 ) );
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MPI_CHK( mpi_mul_mpi( &H, &P1, &Q1 ) );
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MPI_CHK( mpi_gcd( &G, &ctx->E, &H ) );
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}
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while( mpi_cmp_int( &G, 1 ) != 0 );
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/*
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* D = E^-1 mod ((P-1)*(Q-1))
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* DP = D mod (P - 1)
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* DQ = D mod (Q - 1)
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* QP = Q^-1 mod P
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*/
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MPI_CHK( mpi_inv_mod( &ctx->D , &ctx->E, &H ) );
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MPI_CHK( mpi_mod_mpi( &ctx->DP, &ctx->D, &P1 ) );
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MPI_CHK( mpi_mod_mpi( &ctx->DQ, &ctx->D, &Q1 ) );
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MPI_CHK( mpi_inv_mod( &ctx->QP, &ctx->Q, &ctx->P ) );
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ctx->len = ( mpi_msb( &ctx->N ) + 7 ) >> 3;
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cleanup:
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mpi_free( &G, &H, &Q1, &P1, NULL );
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if( ret != 0 )
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{
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rsa_free( ctx );
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return( POLARSSL_ERR_RSA_KEY_GEN_FAILED | ret );
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}
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return( 0 );
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}
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#endif
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/*
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* Check a public RSA key
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*/
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int rsa_check_pubkey( rsa_context *ctx )
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{
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if( ( ctx->N.p[0] & 1 ) == 0 ||
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( ctx->E.p[0] & 1 ) == 0 )
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return( POLARSSL_ERR_RSA_KEY_CHECK_FAILED );
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if( mpi_msb( &ctx->N ) < 128 ||
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mpi_msb( &ctx->N ) > 4096 )
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return( POLARSSL_ERR_RSA_KEY_CHECK_FAILED );
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if( mpi_msb( &ctx->E ) < 2 ||
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mpi_msb( &ctx->E ) > 64 )
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return( POLARSSL_ERR_RSA_KEY_CHECK_FAILED );
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return( 0 );
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}
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/*
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* Check a private RSA key
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*/
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int rsa_check_privkey( rsa_context *ctx )
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{
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int ret;
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mpi PQ, DE, P1, Q1, H, I, G;
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if( ( ret = rsa_check_pubkey( ctx ) ) != 0 )
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return( ret );
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mpi_init( &PQ, &DE, &P1, &Q1, &H, &I, &G, NULL );
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MPI_CHK( mpi_mul_mpi( &PQ, &ctx->P, &ctx->Q ) );
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MPI_CHK( mpi_mul_mpi( &DE, &ctx->D, &ctx->E ) );
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MPI_CHK( mpi_sub_int( &P1, &ctx->P, 1 ) );
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MPI_CHK( mpi_sub_int( &Q1, &ctx->Q, 1 ) );
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MPI_CHK( mpi_mul_mpi( &H, &P1, &Q1 ) );
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MPI_CHK( mpi_mod_mpi( &I, &DE, &H ) );
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MPI_CHK( mpi_gcd( &G, &ctx->E, &H ) );
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if( mpi_cmp_mpi( &PQ, &ctx->N ) == 0 &&
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mpi_cmp_int( &I, 1 ) == 0 &&
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mpi_cmp_int( &G, 1 ) == 0 )
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{
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mpi_free( &G, &I, &H, &Q1, &P1, &DE, &PQ, NULL );
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return( 0 );
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}
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cleanup:
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mpi_free( &G, &I, &H, &Q1, &P1, &DE, &PQ, NULL );
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return( POLARSSL_ERR_RSA_KEY_CHECK_FAILED | ret );
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}
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/*
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* Do an RSA public key operation
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*/
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int rsa_public( rsa_context *ctx,
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unsigned char *input,
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unsigned char *output )
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{
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int ret, olen;
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mpi T;
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mpi_init( &T, NULL );
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MPI_CHK( mpi_read_binary( &T, input, ctx->len ) );
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if( mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
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{
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mpi_free( &T, NULL );
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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}
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olen = ctx->len;
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MPI_CHK( mpi_exp_mod( &T, &T, &ctx->E, &ctx->N, &ctx->RN ) );
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MPI_CHK( mpi_write_binary( &T, output, olen ) );
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cleanup:
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mpi_free( &T, NULL );
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if( ret != 0 )
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return( POLARSSL_ERR_RSA_PUBLIC_FAILED | ret );
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return( 0 );
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}
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/*
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* Do an RSA private key operation
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*/
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int rsa_private( rsa_context *ctx,
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unsigned char *input,
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unsigned char *output )
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{
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int ret, olen;
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mpi T, T1, T2;
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mpi_init( &T, &T1, &T2, NULL );
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MPI_CHK( mpi_read_binary( &T, input, ctx->len ) );
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if( mpi_cmp_mpi( &T, &ctx->N ) >= 0 )
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{
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mpi_free( &T, NULL );
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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}
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#if 0
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MPI_CHK( mpi_exp_mod( &T, &T, &ctx->D, &ctx->N, &ctx->RN ) );
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#else
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/*
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* faster decryption using the CRT
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*
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* T1 = input ^ dP mod P
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* T2 = input ^ dQ mod Q
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*/
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MPI_CHK( mpi_exp_mod( &T1, &T, &ctx->DP, &ctx->P, &ctx->RP ) );
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MPI_CHK( mpi_exp_mod( &T2, &T, &ctx->DQ, &ctx->Q, &ctx->RQ ) );
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/*
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* T = (T1 - T2) * (Q^-1 mod P) mod P
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*/
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MPI_CHK( mpi_sub_mpi( &T, &T1, &T2 ) );
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MPI_CHK( mpi_mul_mpi( &T1, &T, &ctx->QP ) );
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MPI_CHK( mpi_mod_mpi( &T, &T1, &ctx->P ) );
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/*
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* output = T2 + T * Q
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*/
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MPI_CHK( mpi_mul_mpi( &T1, &T, &ctx->Q ) );
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MPI_CHK( mpi_add_mpi( &T, &T2, &T1 ) );
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#endif
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olen = ctx->len;
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MPI_CHK( mpi_write_binary( &T, output, olen ) );
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cleanup:
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mpi_free( &T, &T1, &T2, NULL );
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if( ret != 0 )
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return( POLARSSL_ERR_RSA_PRIVATE_FAILED | ret );
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return( 0 );
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}
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/*
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* Add the message padding, then do an RSA operation
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*/
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int rsa_pkcs1_encrypt( rsa_context *ctx,
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int mode, int ilen,
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unsigned char *input,
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unsigned char *output )
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{
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int nb_pad, olen;
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unsigned char *p = output;
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olen = ctx->len;
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switch( ctx->padding )
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{
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case RSA_PKCS_V15:
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if( ilen < 0 || olen < ilen + 11 )
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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nb_pad = olen - 3 - ilen;
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*p++ = 0;
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*p++ = RSA_CRYPT;
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while( nb_pad-- > 0 )
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{
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do {
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*p = (unsigned char) rand();
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} while( *p == 0 );
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p++;
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}
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*p++ = 0;
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memcpy( p, input, ilen );
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break;
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default:
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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}
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return( ( mode == RSA_PUBLIC )
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? rsa_public( ctx, output, output )
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: rsa_private( ctx, output, output ) );
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}
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/*
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* Do an RSA operation, then remove the message padding
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*/
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int rsa_pkcs1_decrypt( rsa_context *ctx,
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int mode, int *olen,
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unsigned char *input,
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unsigned char *output,
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int output_max_len)
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{
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int ret, ilen;
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unsigned char *p;
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unsigned char buf[512];
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ilen = ctx->len;
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if( ilen < 16 || ilen > (int) sizeof( buf ) )
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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ret = ( mode == RSA_PUBLIC )
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? rsa_public( ctx, input, buf )
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: rsa_private( ctx, input, buf );
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if( ret != 0 )
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return( ret );
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p = buf;
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switch( ctx->padding )
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{
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case RSA_PKCS_V15:
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if( *p++ != 0 || *p++ != RSA_CRYPT )
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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while( *p != 0 )
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{
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if( p >= buf + ilen - 1 )
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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p++;
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}
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p++;
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break;
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default:
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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}
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if (ilen - (int)(p - buf) > output_max_len)
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return( POLARSSL_ERR_RSA_OUTPUT_TO_LARGE );
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*olen = ilen - (int)(p - buf);
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memcpy( output, p, *olen );
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return( 0 );
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}
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/*
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* Do an RSA operation to sign the message digest
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*/
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int rsa_pkcs1_sign( rsa_context *ctx,
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int mode,
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int hash_id,
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int hashlen,
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unsigned char *hash,
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unsigned char *sig )
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{
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int nb_pad, olen;
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unsigned char *p = sig;
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olen = ctx->len;
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switch( ctx->padding )
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{
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case RSA_PKCS_V15:
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switch( hash_id )
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{
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case RSA_RAW:
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nb_pad = olen - 3 - hashlen;
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break;
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case RSA_MD2:
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case RSA_MD4:
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case RSA_MD5:
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nb_pad = olen - 3 - 34;
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break;
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case RSA_SHA1:
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nb_pad = olen - 3 - 35;
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break;
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default:
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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}
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if( nb_pad < 8 )
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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*p++ = 0;
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*p++ = RSA_SIGN;
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memset( p, 0xFF, nb_pad );
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p += nb_pad;
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*p++ = 0;
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break;
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default:
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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}
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switch( hash_id )
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{
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case RSA_RAW:
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memcpy( p, hash, hashlen );
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break;
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case RSA_MD2:
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memcpy( p, ASN1_HASH_MDX, 18 );
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memcpy( p + 18, hash, 16 );
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p[13] = 2; break;
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case RSA_MD4:
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memcpy( p, ASN1_HASH_MDX, 18 );
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memcpy( p + 18, hash, 16 );
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p[13] = 4; break;
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case RSA_MD5:
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memcpy( p, ASN1_HASH_MDX, 18 );
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memcpy( p + 18, hash, 16 );
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p[13] = 5; break;
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case RSA_SHA1:
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memcpy( p, ASN1_HASH_SHA1, 15 );
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memcpy( p + 15, hash, 20 );
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break;
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default:
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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}
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return( ( mode == RSA_PUBLIC )
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? rsa_public( ctx, sig, sig )
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: rsa_private( ctx, sig, sig ) );
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}
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/*
|
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* Do an RSA operation and check the message digest
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*/
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int rsa_pkcs1_verify( rsa_context *ctx,
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int mode,
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int hash_id,
|
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int hashlen,
|
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unsigned char *hash,
|
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unsigned char *sig )
|
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{
|
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int ret, len, siglen;
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unsigned char *p, c;
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unsigned char buf[512];
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siglen = ctx->len;
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if( siglen < 16 || siglen > (int) sizeof( buf ) )
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return( POLARSSL_ERR_RSA_BAD_INPUT_DATA );
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ret = ( mode == RSA_PUBLIC )
|
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? rsa_public( ctx, sig, buf )
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: rsa_private( ctx, sig, buf );
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if( ret != 0 )
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return( ret );
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p = buf;
|
|
|
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switch( ctx->padding )
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{
|
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case RSA_PKCS_V15:
|
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|
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if( *p++ != 0 || *p++ != RSA_SIGN )
|
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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|
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while( *p != 0 )
|
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{
|
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if( p >= buf + siglen - 1 || *p != 0xFF )
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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p++;
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}
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p++;
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break;
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|
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default:
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|
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return( POLARSSL_ERR_RSA_INVALID_PADDING );
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}
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|
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len = siglen - (int)( p - buf );
|
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|
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if( len == 34 )
|
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{
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c = p[13];
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p[13] = 0;
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|
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if( memcmp( p, ASN1_HASH_MDX, 18 ) != 0 )
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return( POLARSSL_ERR_RSA_VERIFY_FAILED );
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|
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if( ( c == 2 && hash_id == RSA_MD2 ) ||
|
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( c == 4 && hash_id == RSA_MD4 ) ||
|
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( c == 5 && hash_id == RSA_MD5 ) )
|
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{
|
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if( memcmp( p + 18, hash, 16 ) == 0 )
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return( 0 );
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else
|
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return( POLARSSL_ERR_RSA_VERIFY_FAILED );
|
|
}
|
|
}
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|
|
if( len == 35 && hash_id == RSA_SHA1 )
|
|
{
|
|
if( memcmp( p, ASN1_HASH_SHA1, 15 ) == 0 &&
|
|
memcmp( p + 15, hash, 20 ) == 0 )
|
|
return( 0 );
|
|
else
|
|
return( POLARSSL_ERR_RSA_VERIFY_FAILED );
|
|
}
|
|
|
|
if( len == hashlen && hash_id == RSA_RAW )
|
|
{
|
|
if( memcmp( p, hash, hashlen ) == 0 )
|
|
return( 0 );
|
|
else
|
|
return( POLARSSL_ERR_RSA_VERIFY_FAILED );
|
|
}
|
|
|
|
return( POLARSSL_ERR_RSA_INVALID_PADDING );
|
|
}
|
|
|
|
/*
|
|
* Free the components of an RSA key
|
|
*/
|
|
void rsa_free( rsa_context *ctx )
|
|
{
|
|
mpi_free( &ctx->RQ, &ctx->RP, &ctx->RN,
|
|
&ctx->QP, &ctx->DQ, &ctx->DP,
|
|
&ctx->Q, &ctx->P, &ctx->D,
|
|
&ctx->E, &ctx->N, NULL );
|
|
}
|
|
|
|
#if defined(POLARSSL_SELF_TEST)
|
|
|
|
#include "polarssl/sha1.h"
|
|
|
|
/*
|
|
* Example RSA-1024 keypair, for test purposes
|
|
*/
|
|
#define KEY_LEN 128
|
|
|
|
#define RSA_N "9292758453063D803DD603D5E777D788" \
|
|
"8ED1D5BF35786190FA2F23EBC0848AEA" \
|
|
"DDA92CA6C3D80B32C4D109BE0F36D6AE" \
|
|
"7130B9CED7ACDF54CFC7555AC14EEBAB" \
|
|
"93A89813FBF3C4F8066D2D800F7C38A8" \
|
|
"1AE31942917403FF4946B0A83D3D3E05" \
|
|
"EE57C6F5F5606FB5D4BC6CD34EE0801A" \
|
|
"5E94BB77B07507233A0BC7BAC8F90F79"
|
|
|
|
#define RSA_E "10001"
|
|
|
|
#define RSA_D "24BF6185468786FDD303083D25E64EFC" \
|
|
"66CA472BC44D253102F8B4A9D3BFA750" \
|
|
"91386C0077937FE33FA3252D28855837" \
|
|
"AE1B484A8A9A45F7EE8C0C634F99E8CD" \
|
|
"DF79C5CE07EE72C7F123142198164234" \
|
|
"CABB724CF78B8173B9F880FC86322407" \
|
|
"AF1FEDFDDE2BEB674CA15F3E81A1521E" \
|
|
"071513A1E85B5DFA031F21ECAE91A34D"
|
|
|
|
#define RSA_P "C36D0EB7FCD285223CFB5AABA5BDA3D8" \
|
|
"2C01CAD19EA484A87EA4377637E75500" \
|
|
"FCB2005C5C7DD6EC4AC023CDA285D796" \
|
|
"C3D9E75E1EFC42488BB4F1D13AC30A57"
|
|
|
|
#define RSA_Q "C000DF51A7C77AE8D7C7370C1FF55B69" \
|
|
"E211C2B9E5DB1ED0BF61D0D9899620F4" \
|
|
"910E4168387E3C30AA1E00C339A79508" \
|
|
"8452DD96A9A5EA5D9DCA68DA636032AF"
|
|
|
|
#define RSA_DP "C1ACF567564274FB07A0BBAD5D26E298" \
|
|
"3C94D22288ACD763FD8E5600ED4A702D" \
|
|
"F84198A5F06C2E72236AE490C93F07F8" \
|
|
"3CC559CD27BC2D1CA488811730BB5725"
|
|
|
|
#define RSA_DQ "4959CBF6F8FEF750AEE6977C155579C7" \
|
|
"D8AAEA56749EA28623272E4F7D0592AF" \
|
|
"7C1F1313CAC9471B5C523BFE592F517B" \
|
|
"407A1BD76C164B93DA2D32A383E58357"
|
|
|
|
#define RSA_QP "9AE7FBC99546432DF71896FC239EADAE" \
|
|
"F38D18D2B2F0E2DD275AA977E2BF4411" \
|
|
"F5A3B2A5D33605AEBBCCBA7FEB9F2D2F" \
|
|
"A74206CEC169D74BF5A8C50D6F48EA08"
|
|
|
|
#define PT_LEN 24
|
|
#define RSA_PT "\xAA\xBB\xCC\x03\x02\x01\x00\xFF\xFF\xFF\xFF\xFF" \
|
|
"\x11\x22\x33\x0A\x0B\x0C\xCC\xDD\xDD\xDD\xDD\xDD"
|
|
|
|
/*
|
|
* Checkup routine
|
|
*/
|
|
int rsa_self_test( int verbose )
|
|
{
|
|
int len;
|
|
rsa_context rsa;
|
|
unsigned char sha1sum[20];
|
|
unsigned char rsa_plaintext[PT_LEN];
|
|
unsigned char rsa_decrypted[PT_LEN];
|
|
unsigned char rsa_ciphertext[KEY_LEN];
|
|
|
|
memset( &rsa, 0, sizeof( rsa_context ) );
|
|
|
|
rsa.len = KEY_LEN;
|
|
mpi_read_string( &rsa.N , 16, RSA_N );
|
|
mpi_read_string( &rsa.E , 16, RSA_E );
|
|
mpi_read_string( &rsa.D , 16, RSA_D );
|
|
mpi_read_string( &rsa.P , 16, RSA_P );
|
|
mpi_read_string( &rsa.Q , 16, RSA_Q );
|
|
mpi_read_string( &rsa.DP, 16, RSA_DP );
|
|
mpi_read_string( &rsa.DQ, 16, RSA_DQ );
|
|
mpi_read_string( &rsa.QP, 16, RSA_QP );
|
|
|
|
if( verbose != 0 )
|
|
printf( " RSA key validation: " );
|
|
|
|
if( rsa_check_pubkey( &rsa ) != 0 ||
|
|
rsa_check_privkey( &rsa ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( verbose != 0 )
|
|
printf( "passed\n PKCS#1 encryption : " );
|
|
|
|
memcpy( rsa_plaintext, RSA_PT, PT_LEN );
|
|
|
|
if( rsa_pkcs1_encrypt( &rsa, RSA_PUBLIC, PT_LEN,
|
|
rsa_plaintext, rsa_ciphertext ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( verbose != 0 )
|
|
printf( "passed\n PKCS#1 decryption : " );
|
|
|
|
if( rsa_pkcs1_decrypt( &rsa, RSA_PRIVATE, &len,
|
|
rsa_ciphertext, rsa_decrypted,
|
|
sizeof(rsa_decrypted) ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( memcmp( rsa_decrypted, rsa_plaintext, len ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( verbose != 0 )
|
|
printf( "passed\n PKCS#1 data sign : " );
|
|
|
|
sha1( rsa_plaintext, PT_LEN, sha1sum );
|
|
|
|
if( rsa_pkcs1_sign( &rsa, RSA_PRIVATE, RSA_SHA1, 20,
|
|
sha1sum, rsa_ciphertext ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( verbose != 0 )
|
|
printf( "passed\n PKCS#1 sig. verify: " );
|
|
|
|
if( rsa_pkcs1_verify( &rsa, RSA_PUBLIC, RSA_SHA1, 20,
|
|
sha1sum, rsa_ciphertext ) != 0 )
|
|
{
|
|
if( verbose != 0 )
|
|
printf( "failed\n" );
|
|
|
|
return( 1 );
|
|
}
|
|
|
|
if( verbose != 0 )
|
|
printf( "passed\n\n" );
|
|
|
|
rsa_free( &rsa );
|
|
|
|
return( 0 );
|
|
}
|
|
|
|
#endif
|
|
|
|
#endif
|