linux-kernel - [PATCH] crypto: ecc - regularize scalar for scalar multiplication

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Date:   Sun,  4 Nov 2018 16:34:20 +0300
From:   Vitaly Chikunov <vt@...linux.org>
To:     Herbert Xu <herbert@...dor.apana.org.au>,
        "David S. Miller" <davem@...emloft.net>,
        linux-crypto@...r.kernel.org, linux-kernel@...r.kernel.org
Cc:     Vitaly Chikunov <vt@...linux.org>
Subject: [PATCH] crypto: ecc - regularize scalar for scalar multiplication

ecc_point_mult is supposed to be used with a regularized scalar,
otherwise, it's possible to deduce the position of the top bit of the
scalar with timing attack.

ecc_point_mult is already using a regular algorithm (i.e. having an
operation flow independent of the input scalar) but regularization step
is forgotten.

Regularization step is based on micro-ecc by Kenneth MacKay.

Signed-off-by: Vitaly Chikunov <vt@...linux.org>
---
 crypto/ecc.c | 16 ++++++++++++----
 1 file changed, 12 insertions(+), 4 deletions(-)

diff --git a/crypto/ecc.c b/crypto/ecc.c
index 8facafd67802..adcce310f646 100644
--- a/crypto/ecc.c
+++ b/crypto/ecc.c
@@ -842,15 +842,23 @@ static void xycz_add_c(u64 *x1, u64 *y1, u64 *x2, u64 *y2, u64 *curve_prime,
 
 static void ecc_point_mult(struct ecc_point *result,
 			   const struct ecc_point *point, const u64 *scalar,
-			   u64 *initial_z, u64 *curve_prime,
+			   u64 *initial_z, const struct ecc_curve *curve,
 			   unsigned int ndigits)
 {
 	/* R0 and R1 */
 	u64 rx[2][ECC_MAX_DIGITS];
 	u64 ry[2][ECC_MAX_DIGITS];
 	u64 z[ECC_MAX_DIGITS];
+	u64 sk[2][ECC_MAX_DIGITS];
+	u64 *curve_prime = curve->p;
 	int i, nb;
-	int num_bits = vli_num_bits(scalar, ndigits);
+	int num_bits;
+	int carry;
+
+	carry = vli_add(sk[0], scalar, curve->n, ndigits);
+	vli_add(sk[1], sk[0], curve->n, ndigits);
+	scalar = sk[!carry];
+	num_bits = sizeof(u64) * ndigits * 8 + 1;
 
 	vli_set(rx[1], point->x, ndigits);
 	vli_set(ry[1], point->y, ndigits);
@@ -1004,7 +1012,7 @@ int ecc_make_pub_key(unsigned int curve_id, unsigned int ndigits,
 		goto out;
 	}
 
-	ecc_point_mult(pk, &curve->g, priv, NULL, curve->p, ndigits);
+	ecc_point_mult(pk, &curve->g, priv, NULL, curve, ndigits);
 	if (ecc_point_is_zero(pk)) {
 		ret = -EAGAIN;
 		goto err_free_point;
@@ -1090,7 +1098,7 @@ int crypto_ecdh_shared_secret(unsigned int curve_id, unsigned int ndigits,
 		goto err_alloc_product;
 	}
 
-	ecc_point_mult(product, pk, priv, rand_z, curve->p, ndigits);
+	ecc_point_mult(product, pk, priv, rand_z, curve, ndigits);
 
 	ecc_swap_digits(product->x, secret, ndigits);
 
-- 
2.11.0