/*
* Copyright (C) 2017 - This file is part of libecc project
*
* Authors:
* Ryad BENADJILA <ryadbenadjila@gmail.com>
* Arnaud EBALARD <arnaud.ebalard@ssi.gouv.fr>
* Jean-Pierre FLORI <jean-pierre.flori@ssi.gouv.fr>
*
* Contributors:
* Nicolas VIVET <nicolas.vivet@ssi.gouv.fr>
* Karim KHALFALLAH <karim.khalfallah@ssi.gouv.fr>
*
* This software is licensed under a dual BSD and GPL v2 license.
* See LICENSE file at the root folder of the project.
*/
#include <libecc/lib_ecc_config.h>
#if defined(WITH_SIG_ECGDSA) && defined(USE_CRYPTOFUZZ)
#include <libecc/nn/nn_rand.h>
#include <libecc/nn/nn_mul.h>
#include <libecc/nn/nn_logical.h>
#include <libecc/sig/sig_algs_internal.h>
#include <libecc/sig/ec_key.h>
#include <libecc/utils/utils.h>
#ifdef VERBOSE_INNER_VALUES
#define EC_SIG_ALG "ECGDSA"
#endif
#include <libecc/utils/dbg_sig.h>
/* NOTE: the following versions of ECGDSA are "raw" with
* no hash functions and nonce override. They are DANGEROUS and
* should NOT be used in production mode! They are however useful
* for corner cases tests and fuzzing.
*/
#define ECGDSA_SIGN_MAGIC ((word_t)(0xe2f60ea3353ecc9eULL))
#define ECGDSA_SIGN_CHECK_INITIALIZED(A, ret, err) \
MUST_HAVE((((const void *)(A)) != NULL) && \
((A)->magic == ECGDSA_SIGN_MAGIC), ret, err)
int ecgdsa_sign_raw(struct ec_sign_context *ctx, const u8 *input, u8 inputlen, u8 *sig, u8 siglen, const u8 *nonce, u8 noncelen)
{
nn_src_t q, x;
/* NOTE: hash here is not really a hash ... */
u8 e_buf[LOCAL_MIN(255, BIT_LEN_WORDS(NN_MAX_BIT_LEN) * (WORDSIZE / 8))];
const ec_priv_key *priv_key;
prj_pt_src_t G;
u8 hsize, r_len, s_len;
bitcnt_t q_bit_len, p_bit_len, rshift;
prj_pt kG;
int ret, iszero;
nn tmp, tmp2, s, e, kr, k, r;
#ifdef USE_SIG_BLINDING
/* b is the blinding mask */
nn b, binv;
b.magic = binv.magic = WORD(0);
#endif
tmp.magic = tmp2.magic = s.magic = e.magic = WORD(0);
kr.magic = k.magic = r.magic = WORD(0);
kG.magic = WORD(0);
/*
* First, verify context has been initialized and private
* part too. This guarantees the context is an EC-GDSA
* signature one and we do not finalize() before init().
*/
ret = sig_sign_check_initialized(ctx); EG(ret, err);
ECGDSA_SIGN_CHECK_INITIALIZED(&(ctx->sign_data.ecgdsa), ret, err);
MUST_HAVE((sig != NULL) && (input != NULL), ret, err);
/* Zero init points */
ret = local_memset(&kG, 0, sizeof(prj_pt)); EG(ret, err);
/* Make things more readable */
priv_key = &(ctx->key_pair->priv_key);
G = &(priv_key->params->ec_gen);
q = &(priv_key->params->ec_gen_order);
x = &(priv_key->x);
q_bit_len = priv_key->params->ec_gen_order_bitlen;
p_bit_len = priv_key->params->ec_fp.p_bitlen;
MUST_HAVE(((u32)BYTECEIL(p_bit_len) <= NN_MAX_BYTE_LEN), ret, err);
r_len = (u8)ECGDSA_R_LEN(q_bit_len);
s_len = (u8)ECGDSA_S_LEN(q_bit_len);
hsize = inputlen;
MUST_HAVE((siglen == ECGDSA_SIGLEN(q_bit_len)), ret, err);
dbg_nn_print("p", &(priv_key->params->ec_fp.p));
dbg_nn_print("q", q);
dbg_priv_key_print("x", priv_key);
dbg_ec_point_print("G", G);
dbg_pub_key_print("Y", &(ctx->key_pair->pub_key));
/* 1. Compute h = H(m) */
/* NOTE: here we have raw ECGDSA, this is the raw input */
/* NOTE: the MUST_HAVE is protected by a preprocessing check
* to avoid -Werror=type-limits errors:
* "error: comparison is always true due to limited range of data type"
*/
#if LOCAL_MIN(255, BIT_LEN_WORDS(NN_MAX_BIT_LEN) * (WORDSIZE / 8)) < 255
MUST_HAVE(((u32)inputlen <= sizeof(e_buf)), ret, err);
#endif
ret = local_memset(e_buf, 0, sizeof(e_buf)); EG(ret, err);
ret = local_memcpy(e_buf, input, hsize); EG(ret, err);
dbg_buf_print("H(m)", e_buf, hsize);
/*
* If |h| > bitlen(q), set h to bitlen(q)
* leftmost bits of h.
*
*/
rshift = 0;
if ((hsize * 8) > q_bit_len) {
rshift = (bitcnt_t)((hsize * 8) - q_bit_len);
}
ret = nn_init_from_buf(&tmp, e_buf, hsize); EG(ret, err);
ret = local_memset(e_buf, 0, hsize); EG(ret, err);
if (rshift) {
ret = nn_rshift_fixedlen(&tmp, &tmp, rshift); EG(ret, err);
}
dbg_nn_print("H(m) truncated as nn", &tmp);
/*
* 2. Convert h to an integer and then compute e = -h mod q,
* i.e. compute e = - OS2I(h) mod q
*
* Because we only support positive integers, we compute
* e = q - (h mod q) (except when h is 0).
*/
ret = nn_mod(&tmp2, &tmp, q); EG(ret, err);
ret = nn_mod_neg(&e, &tmp2, q); EG(ret, err);
/*
NOTE: the restart label is removed in CRYPTOFUZZ mode as
we trigger MUST_HAVE instead of restarting in this mode.
restart:
*/
/* 3. Get a random value k in ]0,q[ */
/* NOTE: copy our input nonce if not NULL */
if(nonce != NULL){
MUST_HAVE((noncelen <= (u8)(BYTECEIL(q_bit_len))), ret, err);
ret = nn_init_from_buf(&k, nonce, noncelen); EG(ret, err);
}
else{
ret = ctx->rand(&k, q); EG(ret, err);
}
#ifdef USE_SIG_BLINDING
/* Note: if we use blinding, e and e are multiplied by
* a random value b in ]0,q[ */
ret = nn_get_random_mod(&b, q); EG(ret, err);
dbg_nn_print("b", &b);
#endif /* USE_SIG_BLINDING */
/* 4. Compute W = kG = (Wx, Wy) */
#ifdef USE_SIG_BLINDING
/* We use blinding for the scalar multiplication */
ret = prj_pt_mul_blind(&kG, &k, G); EG(ret, err);
#else
ret = prj_pt_mul(&kG, &k, G); EG(ret, err);
#endif /* USE_SIG_BLINDING */
ret = prj_pt_unique(&kG, &kG); EG(ret, err);
dbg_nn_print("W_x", &(kG.X.fp_val));
dbg_nn_print("W_y", &(kG.Y.fp_val));
/* 5. Compute r = Wx mod q */
ret = nn_mod(&r, &(kG.X.fp_val), q); EG(ret, err);
dbg_nn_print("r", &r);
/* 6. If r is 0, restart the process at step 4. */
/* NOTE: for the CRYPTOFUZZ mode, we do not restart
* the procedure but throw an assert exception instead.
*/
ret = nn_iszero(&r, &iszero); EG(ret, err);
MUST_HAVE((!iszero), ret, err);
/* Export r */
ret = nn_export_to_buf(sig, r_len, &r); EG(ret, err);
#ifdef USE_SIG_BLINDING
/* Blind e and r with b */
ret = nn_mod_mul(&e, &e, &b, q); EG(ret, err);
ret = nn_mod_mul(&r, &r, &b, q); EG(ret, err);
#endif /* USE_SIG_BLINDING */
/* 7. Compute s = x(kr + e) mod q */
ret = nn_mod_mul(&kr, &k, &r, q); EG(ret, err);
ret = nn_mod_add(&tmp2, &kr, &e, q); EG(ret, err);
ret = nn_mod_mul(&s, x, &tmp2, q); EG(ret, err);
#ifdef USE_SIG_BLINDING
/* Unblind s */
/* NOTE: we use Fermat's little theorem inversion for
* constant time here. This is possible since q is prime.
*/
ret = nn_modinv_fermat(&binv, &b, q); EG(ret, err);
ret = nn_mod_mul(&s, &s, &binv, q); EG(ret, err);
#endif
dbg_nn_print("s", &s);
/* 8. If s is 0, restart the process at step 4. */
/* NOTE: for the CRYPTOFUZZ mode, we do not restart
* the procedure but throw an assert exception instead.
*/
ret = nn_iszero(&s, &iszero); EG(ret, err);
MUST_HAVE((!iszero), ret, err);
/* 9. Return (r,s) */
ret = nn_export_to_buf(sig + r_len, s_len, &s);
err:
nn_uninit(&r);
nn_uninit(&s);
nn_uninit(&tmp2);
nn_uninit(&tmp);
nn_uninit(&e);
nn_uninit(&kr);
nn_uninit(&k);
prj_pt_uninit(&kG);
/*
* We can now clear data part of the context. This will clear
* magic and avoid further reuse of the whole context.
*/
if(ctx != NULL){
IGNORE_RET_VAL(local_memset(&(ctx->sign_data.ecgdsa), 0, sizeof(ecgdsa_sign_data)));
}
/* Clean what remains on the stack */
VAR_ZEROIFY(q_bit_len);
VAR_ZEROIFY(p_bit_len);
VAR_ZEROIFY(r_len);
VAR_ZEROIFY(s_len);
VAR_ZEROIFY(hsize);
PTR_NULLIFY(q);
PTR_NULLIFY(x);
PTR_NULLIFY(priv_key);
PTR_NULLIFY(G);
#ifdef USE_SIG_BLINDING
nn_uninit(&b);
nn_uninit(&binv);
#endif /* USE_SIG_BLINDING */
return ret;
}
/******************************/
#define ECGDSA_VERIFY_MAGIC ((word_t)(0xd4da37527288d1b6ULL))
#define ECGDSA_VERIFY_CHECK_INITIALIZED(A, ret, err) \
MUST_HAVE((((const void *)(A)) != NULL) && \
((A)->magic == ECGDSA_VERIFY_MAGIC), ret, err)
int ecgdsa_verify_raw(struct ec_verify_context *ctx, const u8 *input, u8 inputlen)
{
nn tmp, e, r_prime, rinv, uv, *r, *s;
prj_pt uG, vY;
prj_pt_t Wprime;
prj_pt_src_t G, Y;
/* NOTE: hash here is not really a hash ... */
u8 e_buf[LOCAL_MIN(255, BIT_LEN_WORDS(NN_MAX_BIT_LEN) * (WORDSIZE / 8))];
nn_src_t q;
u8 hsize;
bitcnt_t q_bit_len, rshift;
int ret, cmp;
tmp.magic = e.magic = r_prime.magic = rinv.magic = uv.magic = WORD(0);
uG.magic = vY.magic = WORD(0);
/* NOTE: we reuse uG for Wprime to optimize local variables */
Wprime = &uG;
/*
* First, verify context has been initialized and public
* part too. This guarantees the context is an EC-GDSA
* verification one and we do not finalize() before init().
*/
ret = sig_verify_check_initialized(ctx); EG(ret, err);
ECGDSA_VERIFY_CHECK_INITIALIZED(&(ctx->verify_data.ecgdsa), ret, err);
MUST_HAVE((input != NULL), ret, err);
/* Zero init points */
ret = local_memset(&uG, 0, sizeof(prj_pt)); EG(ret, err);
ret = local_memset(&vY, 0, sizeof(prj_pt)); EG(ret, err);
/* Make things more readable */
G = &(ctx->pub_key->params->ec_gen);
Y = &(ctx->pub_key->y);
q = &(ctx->pub_key->params->ec_gen_order);
r = &(ctx->verify_data.ecgdsa.r);
s = &(ctx->verify_data.ecgdsa.s);
q_bit_len = ctx->pub_key->params->ec_gen_order_bitlen;
hsize = inputlen;
/* 2. Compute h = H(m) */
/* NOTE: here we have raw ECGDSA, this is the raw input */
MUST_HAVE((input != NULL), ret, err);
/* NOTE: the MUST_HAVE is protected by a preprocessing check
* to avoid -Werror=type-limits errors:
* "error: comparison is always true due to limited range of data type"
*/
#if LOCAL_MIN(255, BIT_LEN_WORDS(NN_MAX_BIT_LEN) * (WORDSIZE / 8)) < 255
MUST_HAVE(((u32)inputlen <= sizeof(e_buf)), ret, err);
#endif
ret = local_memset(e_buf, 0, sizeof(e_buf)); EG(ret, err);
ret = local_memcpy(e_buf, input, hsize); EG(ret, err);
dbg_buf_print("H(m)", e_buf, hsize);
/*
* If |h| > bitlen(q), set h to bitlen(q)
* leftmost bits of h.
*
*/
rshift = 0;
if ((hsize * 8) > q_bit_len) {
rshift = (bitcnt_t)((hsize * 8) - q_bit_len);
}
ret = nn_init_from_buf(&tmp, e_buf, hsize); EG(ret, err);
ret = local_memset(e_buf, 0, hsize); EG(ret, err);
if (rshift) {
ret = nn_rshift_fixedlen(&tmp, &tmp, rshift); EG(ret, err);
}
dbg_nn_print("H(m) truncated as nn", &tmp);
/* 3. Compute e by converting h to an integer and reducing it mod q */
ret = nn_mod(&e, &tmp, q); EG(ret, err);
/* 4. Compute u = (r^-1)e mod q */
ret = nn_modinv(&rinv, r, q); EG(ret, err); /* r^-1 */
ret = nn_mul(&tmp, &rinv, &e); EG(ret, err); /* r^-1 * e */
ret = nn_mod(&uv, &tmp, q); EG(ret, err); /* (r^-1 * e) mod q */
ret = prj_pt_mul(&uG, &uv, G); EG(ret, err);
/* 5. Compute v = (r^-1)s mod q */
ret = nn_mul(&tmp, &rinv, s); EG(ret, err); /* r^-1 * s */
ret = nn_mod(&uv, &tmp, q); EG(ret, err); /* (r^-1 * s) mod q */
ret = prj_pt_mul(&vY, &uv, Y); EG(ret, err);
/* 6. Compute W' = uG + vY */
ret = prj_pt_add(Wprime, &uG, &vY); EG(ret, err);
/* 7. Compute r' = W'_x mod q */
ret = prj_pt_unique(Wprime, Wprime); EG(ret, err);
dbg_nn_print("W'_x", &(Wprime->X.fp_val));
dbg_nn_print("W'_y", &(Wprime->Y.fp_val));
ret = nn_mod(&r_prime, &(Wprime->X.fp_val), q); EG(ret, err);
/* 8. Accept the signature if and only if r equals r' */
ret = nn_cmp(r, &r_prime, &cmp); EG(ret, err);
ret = (cmp != 0) ? -1 : 0;
err:
nn_uninit(&r_prime);
nn_uninit(&e);
nn_uninit(&uv);
nn_uninit(&tmp);
nn_uninit(&rinv);
prj_pt_uninit(&uG);
prj_pt_uninit(&vY);
/*
* We can now clear data part of the context. This will clear
* magic and avoid further reuse of the whole context.
*/
if(ctx != NULL){
IGNORE_RET_VAL(local_memset(&(ctx->verify_data.ecgdsa), 0,
sizeof(ecgdsa_verify_data)));
}
PTR_NULLIFY(Wprime);
PTR_NULLIFY(r);
PTR_NULLIFY(s);
PTR_NULLIFY(G);
PTR_NULLIFY(Y);
PTR_NULLIFY(q);
VAR_ZEROIFY(hsize);
return ret;
}
#else /* WITH_SIG_ECGDSA && USE_CRYPTOFUZZ */
/*
* Dummy definition to avoid the empty translation unit ISO C warning
*/
typedef int dummy;
#endif /* WITH_SIG_ECGDSA */