Get rid of the has_small_order() lookup table

This commit is contained in:
Frank Denis
2022-11-27 15:28:15 +01:00
parent 87ba2c4d36
commit 0f767c7d07
6 changed files with 33 additions and 67 deletions
@@ -16,9 +16,9 @@ crypto_core_ed25519_is_valid_point(const unsigned char *p)
ge25519_p3 p_p3;
if (ge25519_is_canonical(p) == 0 ||
ge25519_has_small_order(p) != 0 ||
ge25519_frombytes(&p_p3, p) != 0 ||
ge25519_is_on_curve(&p_p3) == 0 ||
ge25519_has_small_order(&p_p3) != 0 ||
ge25519_is_on_main_subgroup(&p_p3) == 0) {
return 0;
}
@@ -1151,59 +1151,29 @@ ge25519_is_canonical(const unsigned char *s)
}
int
ge25519_has_small_order(const unsigned char s[32])
ge25519_has_small_order(const ge25519_p3 *p)
{
CRYPTO_ALIGN(16)
static const unsigned char blocklist[][32] = {
/* 0 (order 4) */
{ 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
/* 1 (order 1) */
{ 0x01, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00 },
/* 2707385501144840649318225287225658788936804267575313519463743609750303402022
(order 8) */
{ 0x26, 0xe8, 0x95, 0x8f, 0xc2, 0xb2, 0x27, 0xb0, 0x45, 0xc3, 0xf4,
0x89, 0xf2, 0xef, 0x98, 0xf0, 0xd5, 0xdf, 0xac, 0x05, 0xd3, 0xc6,
0x33, 0x39, 0xb1, 0x38, 0x02, 0x88, 0x6d, 0x53, 0xfc, 0x05 },
/* 55188659117513257062467267217118295137698188065244968500265048394206261417927
(order 8) */
{ 0xc7, 0x17, 0x6a, 0x70, 0x3d, 0x4d, 0xd8, 0x4f, 0xba, 0x3c, 0x0b,
0x76, 0x0d, 0x10, 0x67, 0x0f, 0x2a, 0x20, 0x53, 0xfa, 0x2c, 0x39,
0xcc, 0xc6, 0x4e, 0xc7, 0xfd, 0x77, 0x92, 0xac, 0x03, 0x7a },
/* p-1 (order 2) */
{ 0xec, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f },
/* p (=0, order 4) */
{ 0xed, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f },
/* p+1 (=1, order 1) */
{ 0xee, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0x7f }
};
unsigned char c[7] = { 0 };
unsigned int k;
size_t i, j;
fe25519 recip;
fe25519 x;
fe25519 x_neg;
fe25519 y;
fe25519 y_sqrtm1;
fe25519 c;
int ret = 0;
COMPILER_ASSERT(7 == sizeof blocklist / sizeof blocklist[0]);
for (j = 0; j < 31; j++) {
for (i = 0; i < sizeof blocklist / sizeof blocklist[0]; i++) {
c[i] |= s[j] ^ blocklist[i][j];
}
}
for (i = 0; i < sizeof blocklist / sizeof blocklist[0]; i++) {
c[i] |= (s[j] & 0x7f) ^ blocklist[i][j];
}
k = 0;
for (i = 0; i < sizeof blocklist / sizeof blocklist[0]; i++) {
k |= (c[i] - 1);
}
return (int) ((k >> 8) & 1);
fe25519_invert(recip, p->Z);
fe25519_mul(x, p->X, recip);
ret |= fe25519_iszero(x);
fe25519_mul(y, p->Y, recip);
ret |= fe25519_iszero(y);
fe25519_neg(x_neg, p->X);
fe25519_mul(y_sqrtm1, y, fe25519_sqrtm1);
fe25519_sub(c, y_sqrtm1, x);
ret |= fe25519_iszero(c);
fe25519_sub(c, y_sqrtm1, x_neg);
ret |= fe25519_iszero(c);
return ret;
}
/*
@@ -36,8 +36,8 @@ _crypto_scalarmult_ed25519(unsigned char *q, const unsigned char *n,
ge25519_p3 P;
unsigned int i;
if (ge25519_is_canonical(p) == 0 || ge25519_has_small_order(p) != 0 ||
ge25519_frombytes(&P, p) != 0 || ge25519_is_on_main_subgroup(&P) == 0) {
if (ge25519_is_canonical(p) == 0 || ge25519_frombytes(&P, p) != 0 ||
ge25519_has_small_order(&P) != 0 || ge25519_is_on_main_subgroup(&P) == 0) {
return -1;
}
for (i = 0; i < 32; ++i) {
@@ -50,8 +50,8 @@ crypto_sign_ed25519_pk_to_curve25519(unsigned char *curve25519_pk,
fe25519 x;
fe25519 one_minus_y;
if (ge25519_has_small_order(ed25519_pk) != 0 ||
ge25519_frombytes_negate_vartime(&A, ed25519_pk) != 0 ||
if (ge25519_frombytes_negate_vartime(&A, ed25519_pk) != 0 ||
ge25519_has_small_order(&A) != 0 ||
ge25519_is_on_main_subgroup(&A) == 0) {
return -1;
}
+6 -10
View File
@@ -20,7 +20,6 @@ _crypto_sign_ed25519_verify_detached(const unsigned char *sig,
{
crypto_hash_sha512_state hs;
unsigned char h[64];
unsigned char rcheck[32];
ge25519_p3 check;
ge25519_p3 expected_r;
ge25519_p3 A;
@@ -37,18 +36,16 @@ _crypto_sign_ed25519_verify_detached(const unsigned char *sig,
sc25519_is_canonical(sig + 32) == 0) {
return -1;
}
if (ge25519_has_small_order(sig) != 0) {
return -1;
}
if (ge25519_is_canonical(pk) == 0 ||
ge25519_has_small_order(pk) != 0) {
if (ge25519_is_canonical(pk) == 0) {
return -1;
}
#endif
if (ge25519_frombytes_negate_vartime(&A, pk) != 0) {
if (ge25519_frombytes_negate_vartime(&A, pk) != 0 ||
ge25519_has_small_order(&A) != 0) {
return -1;
}
if (ge25519_frombytes(&expected_r, sig) != 0) {
if (ge25519_frombytes(&expected_r, sig) != 0 ||
ge25519_has_small_order(&expected_r) != 0) {
return -1;
}
_crypto_sign_ed25519_ref10_hinit(&hs, prehashed);
@@ -61,9 +58,8 @@ _crypto_sign_ed25519_verify_detached(const unsigned char *sig,
ge25519_double_scalarmult_vartime(&sb_ah_p2, h, &A, sig + 32);
ge25519_p2_to_p3(&sb_ah, &sb_ah_p2);
ge25519_p3_sub(&check, &expected_r, &sb_ah);
ge25519_clear_cofactor(&check);
return fe25519_iszero(check.X) - 1;
return ge25519_has_small_order(&check) - 1;
}
int
@@ -109,7 +109,7 @@ int ge25519_is_on_curve(const ge25519_p3 *p);
int ge25519_is_on_main_subgroup(const ge25519_p3 *p);
int ge25519_has_small_order(const unsigned char s[32]);
int ge25519_has_small_order(const ge25519_p3 *p);
void ge25519_from_uniform(unsigned char s[32], const unsigned char r[32]);