1 From 362704dda04507e7ebb8035122e83d9f0ae7c320 Mon Sep 17 00:00:00 2001
2 From: Jouni Malinen <jouni@codeaurora.org>
3 Date: Tue, 26 Feb 2019 19:34:38 +0200
4 Subject: [PATCH 06/14] SAE: Avoid branches in is_quadratic_residue_blind()
6 Make the non-failure path in the function proceed without branches based
7 on r_odd and in constant time to minimize risk of observable differences
8 in timing or cache use. (CVE-2019-9494)
10 Signed-off-by: Jouni Malinen <jouni@codeaurora.org>
12 src/common/sae.c | 64 ++++++++++++++++++++++++++++++++------------------------
13 1 file changed, 37 insertions(+), 27 deletions(-)
15 --- a/src/common/sae.c
16 +++ b/src/common/sae.c
17 @@ -209,12 +209,14 @@ get_rand_1_to_p_1(const u8 *prime, size_
19 static int is_quadratic_residue_blind(struct sae_data *sae,
20 const u8 *prime, size_t bits,
21 - const struct crypto_bignum *qr,
22 - const struct crypto_bignum *qnr,
23 + const u8 *qr, const u8 *qnr,
24 const struct crypto_bignum *y_sqr)
26 - struct crypto_bignum *r, *num;
27 + struct crypto_bignum *r, *num, *qr_or_qnr = NULL;
28 int r_odd, check, res = -1;
29 + u8 qr_or_qnr_bin[SAE_MAX_ECC_PRIME_LEN];
30 + size_t prime_len = sae->tmp->prime_len;
34 * Use the blinding technique to mask y_sqr while determining
35 @@ -225,7 +227,7 @@ static int is_quadratic_residue_blind(st
36 * r = a random number between 1 and p-1, inclusive
37 * num = (v * r * r) modulo p
39 - r = get_rand_1_to_p_1(prime, sae->tmp->prime_len, bits, &r_odd);
40 + r = get_rand_1_to_p_1(prime, prime_len, bits, &r_odd);
44 @@ -235,41 +237,45 @@ static int is_quadratic_residue_blind(st
45 crypto_bignum_mulmod(num, r, sae->tmp->prime, num) < 0)
50 - * num = (num * qr) module p
51 - * LGR(num, p) = 1 ==> quadratic residue
53 - if (crypto_bignum_mulmod(num, qr, sae->tmp->prime, num) < 0)
58 - * num = (num * qnr) module p
59 - * LGR(num, p) = -1 ==> quadratic residue
61 - if (crypto_bignum_mulmod(num, qnr, sae->tmp->prime, num) < 0)
66 + * Need to minimize differences in handling different cases, so try to
67 + * avoid branches and timing differences.
70 + * num = (num * qr) module p
71 + * LGR(num, p) = 1 ==> quadratic residue
73 + * num = (num * qnr) module p
74 + * LGR(num, p) = -1 ==> quadratic residue
76 + mask = const_time_is_zero(r_odd);
77 + const_time_select_bin(mask, qnr, qr, prime_len, qr_or_qnr_bin);
78 + qr_or_qnr = crypto_bignum_init_set(qr_or_qnr_bin, prime_len);
80 + crypto_bignum_mulmod(num, qr_or_qnr, sae->tmp->prime, num) < 0)
82 + /* r_odd is 0 or 1; branchless version of check = r_odd ? 1 : -1, */
83 + check = const_time_select_int(mask, -1, 1);
85 res = crypto_bignum_legendre(num, sae->tmp->prime);
91 + /* branchless version of res = res == check
92 + * (res is -1, 0, or 1; check is -1 or 1) */
93 + mask = const_time_eq(res, check);
94 + res = const_time_select_int(mask, 1, 0);
96 crypto_bignum_deinit(num, 1);
97 crypto_bignum_deinit(r, 1);
98 + crypto_bignum_deinit(qr_or_qnr, 1);
103 static int sae_test_pwd_seed_ecc(struct sae_data *sae, const u8 *pwd_seed,
105 - const struct crypto_bignum *qr,
106 - const struct crypto_bignum *qnr,
107 + const u8 *prime, const u8 *qr, const u8 *qnr,
110 struct crypto_bignum *y_sqr, *x_cand;
111 @@ -429,6 +435,8 @@ static int sae_derive_pwe_ecc(struct sae
112 struct crypto_bignum *x = NULL, *qr = NULL, *qnr = NULL;
113 u8 x_bin[SAE_MAX_ECC_PRIME_LEN];
114 u8 x_cand_bin[SAE_MAX_ECC_PRIME_LEN];
115 + u8 qr_bin[SAE_MAX_ECC_PRIME_LEN];
116 + u8 qnr_bin[SAE_MAX_ECC_PRIME_LEN];
119 u8 found = 0; /* 0 (false) or 0xff (true) to be used as const_time_*
120 @@ -453,7 +461,9 @@ static int sae_derive_pwe_ecc(struct sae
121 * (qnr) modulo p for blinding purposes during the loop.
123 if (get_random_qr_qnr(prime, prime_len, sae->tmp->prime, bits,
126 + crypto_bignum_to_bin(qr, qr_bin, sizeof(qr_bin), prime_len) < 0 ||
127 + crypto_bignum_to_bin(qnr, qnr_bin, sizeof(qnr_bin), prime_len) < 0)
130 wpa_hexdump_ascii_key(MSG_DEBUG, "SAE: password",
131 @@ -504,7 +514,7 @@ static int sae_derive_pwe_ecc(struct sae
134 res = sae_test_pwd_seed_ecc(sae, pwd_seed,
135 - prime, qr, qnr, x_cand_bin);
136 + prime, qr_bin, qnr_bin, x_cand_bin);
137 const_time_select_bin(found, x_bin, x_cand_bin, prime_len,
139 pwd_seed_odd = const_time_select_u8(