/* p192.c */ /* This file is part of the AVR-Crypto-Lib. Copyright (C) 2006-2012 Daniel Otte (daniel.otte@rub.de) This program 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 3 of the License, or (at your option) any later version. This program 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, see . */ #include #include #include #include "bigint.h" /* * p = 6277101735386680763835789423207666416083908700390324961279 * = 0xFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFEFFFFFFFFFFFFFFFF */ static uint8_t nist_curve_p192_p_w[] = { 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xfe, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff }; bigint_t nist_curve_p192_p = { .length_W = 192 / BIGINT_WORD_SIZE, .wordv = nist_curve_p192_p_w, .info = 7 }; /* * A = ( A5 || A4 || A3 || A2 || A1 || A0 ) ; An if 64-bit * A mod p = B = T + S1 + S2 + S3 mod p * * T = ( A2 || A1 || A0 ) * S1 = ( A3 || A3 ) * S2 = ( A4 || A4 || 0 ) * S3 = ( A5 || A5 || A5 ) * */ int bigint_reduce_p192(bigint_t *a){ bigint_word_t s_w[3 * 64 / BIGINT_WORD_SIZE]; bigint_t s; uint16_t o_length; o_length = a->length_W; if(o_length < 192 / BIGINT_WORD_SIZE){ return 0; } if(o_length > 192 * 2 / BIGINT_WORD_SIZE){ bigint_reduce(a, &nist_curve_p192_p); } if(o_length > 192 / BIGINT_WORD_SIZE){ s.wordv = s_w; s.length_W = 2 * 64 / BIGINT_WORD_SIZE; /* * copy A3 twice in s */ if(o_length >= 4 * 64 / BIGINT_WORD_SIZE){ memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 64 / 8); }else{ memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 3 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 3 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); bigint_adjust(&s); /* * Set A3 to zero so we can use a as T */ memset(a->wordv + 3 * 64 / BIGINT_WORD_SIZE, 0, BIGINT_WORD_SIZE / 8); a->length_W = 3 * 64 / BIGINT_WORD_SIZE; bigint_adjust(a); /* * Add s (alias S1) to a (alias T) */ bigint_add_u(a, a, &s); if(o_length > 4 * 64 / BIGINT_WORD_SIZE){ /* * copy A4 twice in s */ if(o_length >= 5 * 64 / BIGINT_WORD_SIZE){ memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, 64 / 8); }else{ memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 4 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 4 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); bigint_adjust(&s); /* * Add s (alias S2) to a (alias T + S1) */ bigint_add_scale_u(a, &s, 8); if(o_length > 5 * 64 / BIGINT_WORD_SIZE){ /* * copy A5 three times in s */ if(o_length == 6 * 64 / BIGINT_WORD_SIZE){ memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, 64 / 8); } else { memset(s.wordv, 0, 8); memcpy(s.wordv, a->wordv + 5 * 64 / BIGINT_WORD_SIZE, o_length * BIGINT_WORD_SIZE / 8 - 5 * 64 / 8); } memcpy(s.wordv + 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); memcpy(s.wordv + 2 * 64 / BIGINT_WORD_SIZE, s.wordv, 64 / 8); s.length_W = 3 * 64 / BIGINT_WORD_SIZE; bigint_adjust(&s); /* * Add s (alias S2) to a (alias T + S1) */ bigint_add_u(a, a, &s); } } } while(bigint_cmp_u(a, &nist_curve_p192_p) >= 0){ bigint_sub_u(a, a, &nist_curve_p192_p); } return 0; }