pqc/src/ntru_decrypt.c

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/*
* Copyright (C) 2014 FH Bielefeld
*
* This file is part of a FH Bielefeld project.
*
* This 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.
*
* This 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 this library; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston,
* MA 02110-1301 USA
*/
#include "ntru_decrypt.h"
/*
* Legend
*
* N : maximal degree of the polynom
* q : "is given" (... mod q)
* p : "is given" (... mod p)
* f : private key
* Fp: inverse of "modulo p"
* e : encrypted message
* a : result of first multiplication (StarMultiply(f, e, a, N, q))
* d : result of second multiplication (StarMultiply(a, Fp , d, N, p)), decrypted message
* */
// Require: N , q, p, secret key f , inverse polynomial Fp , and encrypted message e.
pb_poly* ntru_decrypt(pb_poly *encr_msg, pb_poly *private_key, pb_poly *Fp, ntru_context *context, char ** decr_msg){
unsigned int q = context->q;
unsigned int p = context->p;
unsigned int N = context->N;
unsigned int i;
// StarMultiply(f, e, a, N, q)
pb_poly *a = build_polynom(NULL, N, context);
pb_starmultiply(private_key, encr_msg, a, context, q);
mp_int mp_q;
mp_int mp_qdiv2;
mp_int zero;
init_integer(&mp_q);
init_integer(&mp_qdiv2);
init_integer(&zero);
MP_SET_INT(&mp_q, q);
mp_div_2(&mp_q, &mp_qdiv2);
mp_zero(&zero);
for(i = 0; i < N; i++){
if(mp_cmp(&(a->terms[i]),&zero) == MP_LT) { // Make all coefficients positive
//a->terms[i] = a->terms[i] + q;
mp_add((&a->terms[i]),&mp_q,(&a->terms[i]));
}
if(mp_cmp(&(a->terms[i]), &mp_qdiv2) == MP_GT) { // Shift coefficients of a into range (q/2, q/2)
//a->terms[i] = a->terms[i] - mp_q;
mp_sub((&a->terms[i]),&mp_q,(&a->terms[i]));
}
}
printf("%s\np:%d", "Nach dem StarMultiply: ", p);
draw_polynom(a);
pb_poly *d = build_polynom(NULL, N, context);
// StarMultiply(a, Fp , d, N, p)
pb_starmultiply(a, Fp, d, context, p);
// {Decode returns the decrypted message, d, through the argument list.}
return d;
}