From 56e75f661dfea7104d76421be6059f098d3236d4 Mon Sep 17 00:00:00 2001 From: bg Date: Wed, 14 Nov 2012 01:09:01 +0100 Subject: [PATCH] fixing and extending ecdsa --- ecdsa/ecc.h | 7 ++ ecdsa/ecc_chudnovsky.c | 62 +++++++++++++- ecdsa/ecdsa_sign.c | 121 +++++++++++++++++++++++++++ ecdsa/ecdsa_sign.h | 39 +++++++++ ecdsa/ecdsa_verify.c | 10 +++ mkfiles/ecdsa.mk | 2 +- test_src/main-ecdsa-test.c | 166 +++++++++++++++++++++++++++---------- 7 files changed, 361 insertions(+), 46 deletions(-) create mode 100644 ecdsa/ecdsa_sign.c create mode 100644 ecdsa/ecdsa_sign.h create mode 100644 ecdsa/ecdsa_verify.c diff --git a/ecdsa/ecc.h b/ecdsa/ecc.h index ac7d98c..99dd4f4 100644 --- a/ecdsa/ecc.h +++ b/ecdsa/ecc.h @@ -20,6 +20,8 @@ #ifndef ECC_H_ #define ECC_H_ +#include + typedef struct { bigint_t x; bigint_t y; @@ -44,6 +46,11 @@ typedef struct { int (*reduce_p)(bigint_t*); } ecc_curve_sp_t; + +uint8_t ecc_chudnovsky_point_alloc(ecc_chudnovsky_point_t* p, size_t length_B); + +void ecc_chudnovsky_point_free(ecc_chudnovsky_point_t* p); + void ecc_chudnovsky_point_print(const ecc_chudnovsky_point_t *p); diff --git a/ecdsa/ecc_chudnovsky.c b/ecdsa/ecc_chudnovsky.c index f5a8f37..2cc3ba7 100644 --- a/ecdsa/ecc_chudnovsky.c +++ b/ecdsa/ecc_chudnovsky.c @@ -38,6 +38,48 @@ #define putchar(a) #endif +uint8_t ecc_chudnovsky_point_alloc(ecc_chudnovsky_point_t* p, size_t length_B){ + if(!(p->x.wordv = malloc(length_B))){ + return 1; + } + if(!(p->y.wordv = malloc(length_B))){ + free(p->x.wordv); + return 1; + } + if(!(p->z1.wordv = malloc(length_B))){ + free(p->x.wordv); + free(p->y.wordv); + return 1; + } + if(!(p->z2.wordv = malloc(length_B))){ + free(p->x.wordv); + free(p->y.wordv); + free(p->z1.wordv); + return 1; + } + if(!(p->z3.wordv = malloc(length_B))){ + free(p->x.wordv); + free(p->y.wordv); + free(p->z1.wordv); + free(p->z2.wordv); + return 1; + } + bigint_set_zero(&p->x); + bigint_set_zero(&p->y); + bigint_set_zero(&p->z1); + bigint_set_zero(&p->z2); + bigint_set_zero(&p->z3); + return 0; +} + +void ecc_chudnovsky_point_free(ecc_chudnovsky_point_t* p){ + free(p->x.wordv); + free(p->y.wordv); + free(p->z1.wordv); + free(p->z2.wordv); + free(p->z3.wordv); +} + /* * if (Y == 0) * return POINT_AT_INFINITY @@ -364,12 +406,12 @@ uint8_t bigint_to_naf(uint8_t* dest, uint16_t *length, const bigint_t *src){ return 0; } - memset(dest, 0, src->length_W * sizeof(bigint_word_t)); + memset(dest, 0, src->length_W * sizeof(bigint_word_t) * 2 +1); uint16_t i = 0; uint8_t t; /* 3 -> -1 ; 1 -> 1; 0 -> 0 (2 should not happen) */ bigint_t k, p; - bigint_word_t k_w[src->length_W]; + bigint_word_t k_w[src->length_W + 1]; bigint_word_t p_w = 1; p.wordv = &p_w; p.info = 0; @@ -439,11 +481,14 @@ uint8_t ecc_chudnovsky_naf_multiplication(ecc_chudnovsky_point_t *dest, bigint_add_s(&p_.y, &p_.y, curve->p); - if(!(t = malloc(k->length_W * sizeof(bigint_word_t) * 2))){ + if(!(t = calloc(k->length_W * sizeof(bigint_word_t) * 2 + 1, 1))){ return 1; } bigint_to_naf(t, &i, k); + printf(" naf: "); + print_naf(t, i); + --i; dest->y.length_W = 0; do{ @@ -468,3 +513,14 @@ uint8_t ecc_chudnovsky_multiplication(ecc_chudnovsky_point_t *dest, const ecc_curve_sp_t* curve){ return ecc_chudnovsky_naf_multiplication(dest, k, p, curve); } + + + +uint8_t ecc_chudnovsky_multipy_and_sum(ecc_chudnovsky_point_t *dest, + const bigint_t *k, + const ecc_chudnovsky_point_t *p, + const bigint_t *l, + const ecc_chudnovsky_point_t *q, + const ecc_curve_sp_t* curve){ + return ecc_chudnovsky_naf_multiplication(dest, k, p, curve); +} diff --git a/ecdsa/ecdsa_sign.c b/ecdsa/ecdsa_sign.c new file mode 100644 index 0000000..3a9fd21 --- /dev/null +++ b/ecdsa/ecdsa_sign.c @@ -0,0 +1,121 @@ +/* ecdsa.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 "bigint.h" +#include "ecc.h" +#include "random_dummy.h" +#include "ecdsa.h" +#include "hfal-basic.h" + +uint8_t ecdsa_signature_alloc(ecdsa_signature_t* s, size_t length_B){ + if(!(s->r.wordv = malloc(length_B))){ + return 1; + } + if(!(s->s.wordv = malloc(length_B))){ + free(s->r.wordv); + return 1; + } + bigint_set_zero(&s->r); + bigint_set_zero(&s->s); + return 0; +} + +void ecdsa_signature_free(ecdsa_signature_t* s){ + free(s->r.wordv); + free(s->s.wordv); +} + +uint8_t ecdsa_sign_bigint(ecdsa_signature_t* s, const bigint_t* m, + const ecdsa_ctx_t* ctx, const bigint_t* k){ + + bigint_t t; + ecc_combi_point_t q; + + + if(!(t.wordv = malloc(ctx->curve->p->length_W * 2 * sizeof(bigint_word_t)))){ + return 1; + } + if(!ecc_chudnovsky_point_alloc(&q.chudnovsky, ctx->curve->p->length_W * sizeof(bigint_word_t))){ + free(t.wordv); + return 1; + } + + ecc_chudnovsky_multiplication(&q.chudnovsky, k, ctx->basepoint, ctx->curve); + if(q.chudnovsky.x.length_W == 0){ + return 2; + } + ecc_chudnovsky_to_affine_point(&q.affine, &q.chudnovsky, ctx->curve); + bigint_inverse(&s->r, k, ctx->curve->p); + bigint_mul_u(&t, &q.affine.x, ctx->priv); + ctx->curve->reduce_p(&t); + bigint_add_u(&t, &t, m); + ctx->curve->reduce_p(&t); + bigint_mul_u(&t, &t, &s->r); + ctx->curve->reduce_p(&t); + if(t.length_W == 0){ + return 2; + } + bigint_copy(&s->r, &q.affine.x); + bigint_copy(&s->s, &t); + + ecc_chudnovsky_point_free(&q.chudnovsky); + free(t.wordv); + + return 0; +} +uint8_t ecdsa_sign_message(ecdsa_signature_t* s, const void* m, uint16_t m_len_b, + const hfdesc_t* hash_desc, const ecdsa_ctx_t* ctx, + const void *rand_in){ + bigint_t m_int; + bigint_t r_int; + uint8_t r; + + if(rand_in == NULL){ + if(!(r_int.wordv = malloc(ctx->curve->p->length_W * sizeof(bigint_word_t)))){ + return 1; + } + } + + if(!(m_int.wordv = malloc(hfal_hash_getHashsize(hash_desc) / 8))){ + if(rand_in == NULL){ + free(r_int.wordv); + } + return 1; + } + hfal_hash_mem(hash_desc, m_int.wordv, m, m_len_b); + + do{ + if(rand_in == NULL){ + size_t i; + do{ + i = ctx->curve->p->length_W * sizeof(bigint_word_t) - 1; + r_int.length_W = ctx->curve->p->length_W; + do{ + ((uint8_t*)r_int.wordv)[i] = prng_get_byte(); + }while(i--); + bigint_adjust(&r_int); + }while(bigint_cmp_u(&r_int, ctx->curve->p) >= 0); + } + }while((r = ecdsa_sign_bigint(s, &m_int, ctx, &r_int)) == 2 && (rand_in == NULL)); + + return r; +} diff --git a/ecdsa/ecdsa_sign.h b/ecdsa/ecdsa_sign.h new file mode 100644 index 0000000..6edb836 --- /dev/null +++ b/ecdsa/ecdsa_sign.h @@ -0,0 +1,39 @@ +/* ecdsa_sign.h */ +/* + This file is part of the AVR-Crypto-Lib. + Copyright (C) 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 . +*/ + +#ifndef ECDSA_SIGN_H_ +#define ECDSA_SIGN_H_ + +#include "bigint.h" +#include "ecc.h" +#include "ecdsa.h" +#include "hfal-basic.h" + +uint8_t ecdsa_signature_alloc(ecdsa_signature_t* s, size_t length_B); + +void ecdsa_signature_free(ecdsa_signature_t* s); + +uint8_t ecdsa_sign_bigint(ecdsa_signature_t* s, const bigint_t* m, + const ecdsa_ctx_t* ctx, const bigint_t* k); + +uint8_t ecdsa_sign_message(ecdsa_signature_t* s, const void* m, uint16_t m_len_b, + const hfdesc_t* hash_desc, const ecdsa_ctx_t* ctx, + const void *rand_in); + +#endif /* ECDSA_SIGN_H_ */ diff --git a/ecdsa/ecdsa_verify.c b/ecdsa/ecdsa_verify.c new file mode 100644 index 0000000..1853f81 --- /dev/null +++ b/ecdsa/ecdsa_verify.c @@ -0,0 +1,10 @@ +/* + * ecdsa_verify.c + * + * Created on: 07.10.2012 + * Author: bg + */ + + + + diff --git a/mkfiles/ecdsa.mk b/mkfiles/ecdsa.mk index 61978f3..b172397 100644 --- a/mkfiles/ecdsa.mk +++ b/mkfiles/ecdsa.mk @@ -6,7 +6,7 @@ SIGNATURE += $(ALGO_NAME) $(ALGO_NAME)_DIR := ecdsa/ $(ALGO_NAME)_INCDIR := memxor/ bigint/ sha1/ noekeon/ base64/ hfal/ -$(ALGO_NAME)_OBJ := bigint.o bigint_io.o sha1-asm.o nist_p192.o ecc_chudnovsky.o base64_enc.o +$(ALGO_NAME)_OBJ := bigint.o bigint_io.o sha1-asm.o nist_p192.o ecc_chudnovsky.o ecdsa_sign.o base64_enc.o $(ALGO_NAME)_TESTBIN := main-ecdsa-test.o $(CLI_STD) hfal_sha1.o $(HFAL_STD) \ noekeon_asm.o noekeon_prng.o memxor.o diff --git a/test_src/main-ecdsa-test.c b/test_src/main-ecdsa-test.c index 505e926..109ada2 100644 --- a/test_src/main-ecdsa-test.c +++ b/test_src/main-ecdsa-test.c @@ -28,6 +28,14 @@ #include "bigint.h" #include "bigint_io.h" #include "nist_p192.h" +#include "ecc.h" +#include "ecdsa_sign.h" + +#include "hfal_sha1.h" +#include "hfal_sha224.h" +#include "hfal_sha256.h" +#include "hfal_sha384.h" +#include "hfal_sha512.h" #include "performance_test.h" #include "hfal_sha1.h" @@ -40,6 +48,10 @@ char* algo_name = "ECDSA"; * additional validation-functions * *****************************************************************************/ +uint8_t prng_get_byte(void){ + return random8(); +} + void testrun_performance_invert_bigint(void){ printf_P(PSTR("\n=== performance measurement (invert) ===\n")); unsigned i,j; @@ -220,43 +232,6 @@ void ecc_affine_point_free(ecc_affine_point_t *p){ free(p->y.wordv); } -uint8_t ecc_chudnovsky_point_alloc(ecc_chudnovsky_point_t *p, uint16_t length_b){ - size_t len = (length_b + BIGINT_WORD_SIZE - 1)/ BIGINT_WORD_SIZE; - if (! (p->x.wordv = malloc(len))){ - return 1; - } - if (! (p->y.wordv = malloc(len))){ - free(p->x.wordv); - return 2; - } - if (! (p->z1.wordv = malloc(len))){ - free(p->x.wordv); - free(p->y.wordv); - return 3; - } - if (! (p->z2.wordv = malloc(len))){ - free(p->x.wordv); - free(p->y.wordv); - free(p->z1.wordv); - return 4; - } - if (! (p->z3.wordv = malloc(len))){ - free(p->x.wordv); - free(p->y.wordv); - free(p->z1.wordv); - free(p->z2.wordv); - return 5; - } - return 0; -} - -void ecc_chudnovsky_point_free(ecc_chudnovsky_point_t *p){ - free(p->x.wordv); - free(p->y.wordv); - free(p->z1.wordv); - free(p->z2.wordv); - free(p->z3.wordv); -} void testrun_square(void){ bigint_word_t a_w[] = { @@ -473,7 +448,7 @@ void testrun_genkey3(void){ void testrun_genkey(void){ ecc_chudnovsky_point_t q; ecc_affine_point_t qa; - + uint32_t time; bigint_t k; printf_P(PSTR("\n== testing key generation ==\n")); @@ -487,25 +462,130 @@ void testrun_genkey(void){ return; } if(ecc_affine_point_alloc(&qa, 192)){ + ecc_chudnovsky_point_free(&q); printf_P(PSTR("ERROR: OOM! <%s %s %d>\n"), __FILE__, __func__, __LINE__); return; } - printf_P(PSTR(" k: ")); + printf_P(PSTR("(naf) k: ")); bigint_print_hex(&k); - ecc_chudnovsky_multiplication(&q, &k, &nist_curve_p192_basepoint.chudnovsky, &nist_curve_p192); + startTimer(1); + START_TIMER; + ecc_chudnovsky_naf_multiplication(&q, &k, &nist_curve_p192_basepoint.chudnovsky, &nist_curve_p192); + STOP_TIMER; + time = stopTimer(); ecc_chudnovsky_to_affine_point(&qa, &q, &nist_curve_p192); printf_P(PSTR("\n Qx: ")); bigint_print_hex(&qa.x); printf_P(PSTR("\n Qy: ")); bigint_print_hex(&qa.y); - puts("\n"); + printf_P(PSTR("\n time: %"PRIu32" cycles\n"), time); + + printf_P(PSTR("(d&a) k: ")); + bigint_print_hex(&k); + startTimer(1); + START_TIMER; + ecc_chudnovsky_double_and_add(&q, &k, &nist_curve_p192_basepoint.chudnovsky, &nist_curve_p192); + STOP_TIMER; + time = stopTimer(); + ecc_chudnovsky_to_affine_point(&qa, &q, &nist_curve_p192); + + printf_P(PSTR("\n Qx: ")); + bigint_print_hex(&qa.x); + printf_P(PSTR("\n Qy: ")); + bigint_print_hex(&qa.y); + printf_P(PSTR("\n time: %"PRIu32" cycles\n"), time); + free(k.wordv); + ecc_chudnovsky_point_free(&q); + ecc_affine_point_free(&qa); } #endif +const uint8_t ecdsa_test_1_msg[] PROGMEM = { + 0xcf, 0x71, 0xa0, 0xe4, 0xce, 0x59, 0x43, 0x11, + 0x77, 0x88, 0x50, 0x87, 0x53, 0x78, 0xd0, 0xee, + 0xa3, 0xc0, 0x32, 0xa4, 0xbc, 0xc0, 0xdc, 0x1c, + 0xf2, 0x9d, 0x01, 0xb9, 0xc5, 0x10, 0x78, 0x9c, + 0xd5, 0x2f, 0xc3, 0x8c, 0x74, 0xe6, 0xa4, 0x27, + 0x87, 0xd0, 0xf2, 0x7c, 0xe2, 0x93, 0x20, 0x7a, + 0xfd, 0xd0, 0x11, 0x7a, 0xcc, 0x71, 0xb9, 0x16, + 0x63, 0x06, 0xce, 0x56, 0xf1, 0xa7, 0xf1, 0xc6, + 0x0a, 0x9d, 0x68, 0x7d, 0x12, 0x5e, 0xb0, 0x7e, + 0x26, 0xe5, 0x51, 0xdc, 0x14, 0x0e, 0x8a, 0x04, + 0xaf, 0xa2, 0xa1, 0x6f, 0x98, 0xb5, 0x1b, 0xa9, + 0x18, 0x96, 0xbf, 0x32, 0x0f, 0xd4, 0xd6, 0xf1, + 0xa4, 0x4b, 0x46, 0xf3, 0x3d, 0xae, 0x39, 0xcc, + 0x24, 0xf0, 0x4a, 0x5d, 0x86, 0x0c, 0xb1, 0x4f, + 0x6b, 0x6e, 0x8a, 0x69, 0x73, 0xb4, 0x9f, 0xd2, + 0xa7, 0xbc, 0xeb, 0x48, 0xd7, 0x48, 0xf7, 0xeb +}; + +const uint8_t ecdsa_test_1_d[] PROGMEM = { + 0xf3, 0xd7, 0x60, 0xd6, 0x75, 0xf2, 0xcc, 0xeb, + 0xf0, 0xd2, 0xfd, 0xb3, 0xb9, 0x41, 0x3f, 0xb0, + 0xf8, 0x4f, 0x37, 0xd1, 0xb3, 0x37, 0x4f, 0xe1 +}; + +const uint8_t ecdsa_test_1_k[] PROGMEM = { + 0x25, 0x5f, 0x68, 0x89, 0xa2, 0x31, 0xbc, 0x57, + 0x4d, 0x15, 0xc4, 0x12, 0xfb, 0x56, 0x45, 0x68, + 0x83, 0x07, 0xa1, 0x43, 0x70, 0xbc, 0x0a, 0xcb +}; + +void test_sign1(void){ + bigint_word_t d_w[sizeof(ecdsa_test_1_d)]; + uint8_t msg[sizeof(ecdsa_test_1_msg)]; + uint8_t rnd[sizeof(ecdsa_test_1_k)]; + bigint_t d; + ecc_combi_point_t q; + ecdsa_signature_t sign; + ecdsa_ctx_t ctx; + d.wordv = d_w; + memcpy_P(msg, ecdsa_test_1_msg, sizeof(ecdsa_test_1_msg)); + memcpy_P(rnd, ecdsa_test_1_k, sizeof(ecdsa_test_1_k)); + memcpy_P(d_w, ecdsa_test_1_d, sizeof(ecdsa_test_1_d) * sizeof(bigint_word_t)); + d.length_W = sizeof(ecdsa_test_1_d) / sizeof(bigint_word_t); + d.info = 0; + bigint_adjust(&d); + + ecc_chudnovsky_point_alloc(&q.chudnovsky, nist_curve_p192_p.length_W * sizeof(bigint_word_t)); + ctx.basepoint = &nist_curve_p192_basepoint.chudnovsky; + ctx.priv = &d; + ctx.curve = &nist_curve_p192; + + printf("\n d:"); + bigint_print_hex(&d); + printf_P(PSTR("\n Gx: ")); + bigint_print_hex(&nist_curve_p192_basepoint.affine.x); + printf_P(PSTR("\n Gy: ")); + bigint_print_hex(&nist_curve_p192_basepoint.affine.y); + + ecc_chudnovsky_multiplication(&q.chudnovsky, &d, &nist_curve_p192_basepoint.chudnovsky, &nist_curve_p192); + ecc_chudnovsky_to_affine_point(&q.affine, &q.chudnovsky, &nist_curve_p192); + printf_P(PSTR("\n Qx: ")); + bigint_print_hex(&q.affine.x); + printf_P(PSTR("\n Qy: ")); + bigint_print_hex(&q.affine.y); + + ctx.pub = &q.affine; + + ecdsa_signature_alloc(&sign, sizeof(ecdsa_test_1_d) * sizeof(bigint_word_t)); + + ecdsa_sign_message(&sign, msg, sizeof(msg) * 8, &sha1_desc, &ctx, rnd); + + printf_P(PSTR("\n r: ")); + bigint_print_hex(&sign.r); + printf_P(PSTR("\n r: ")); + bigint_print_hex(&sign.s); + + + ecdsa_signature_free(&sign); + ecc_chudnovsky_point_free(&q.chudnovsky); +} + /***************************************************************************** * main * *****************************************************************************/ @@ -520,6 +600,7 @@ const char genkey1_str[] PROGMEM = "genkey1"; const char genkey2_str[] PROGMEM = "genkey2"; const char genkey3_str[] PROGMEM = "genkey3"; const char genkey_str[] PROGMEM = "genkey"; +const char testsign1_str[] PROGMEM = "testsign1"; const char square_str[] PROGMEM = "square"; const char echo_str[] PROGMEM = "echo"; @@ -531,6 +612,7 @@ const const cmdlist_entry_t cmdlist[] PROGMEM = { { genkey1_str, NULL, testrun_genkey1 }, { genkey2_str, NULL, testrun_genkey2 }, { genkey3_str, NULL, testrun_genkey3 }, + { testsign1_str, NULL, test_sign1 }, { performance_reduce_str, NULL, testrun_performance_reduce_bigint }, { performance_invert_str, NULL, testrun_performance_invert_bigint }, { performance_multiply_str, NULL, testrun_performance_multiply_bigint }, @@ -541,7 +623,7 @@ const const cmdlist_entry_t cmdlist[] PROGMEM = { int main (void){ int8_t r; main_setup(); - + calibrateTimer(); for(;;){ welcome_msg(algo_name); r = cmd_interface(cmdlist); -- 2.39.2