Add constant-time multiply secp256k1_ecmult_const for ECDH

Designed with clear separation of the wNAF conversion, precomputation
and exponentiation (since the precomp at least we will probably want
to separate in the API for users who reuse points a lot.

Future work:
  - actually separate precomp in the API
  - do multiexp rather than single exponentiation
This commit is contained in:
Andrew Poelstra
2015-05-13 17:31:47 -05:00
parent baa75da59d
commit 4401500060
11 changed files with 424 additions and 1 deletions

View File

@@ -48,6 +48,10 @@ static void secp256k1_scalar_add_bit(secp256k1_scalar_t *r, unsigned int bit);
/** Multiply two scalars (modulo the group order). */
static void secp256k1_scalar_mul(secp256k1_scalar_t *r, const secp256k1_scalar_t *a, const secp256k1_scalar_t *b);
/** Shift a scalar right by some amount strictly between 0 and 16, returning
* the low bits that were shifted off */
static int secp256k1_scalar_shr_int(secp256k1_scalar_t *r, int n);
/** Compute the square of a scalar (modulo the group order). */
static void secp256k1_scalar_sqr(secp256k1_scalar_t *r, const secp256k1_scalar_t *a);
@@ -66,9 +70,16 @@ static int secp256k1_scalar_is_zero(const secp256k1_scalar_t *a);
/** Check whether a scalar equals one. */
static int secp256k1_scalar_is_one(const secp256k1_scalar_t *a);
/** Check whether a scalar, considered as an nonnegative integer, is even. */
static int secp256k1_scalar_is_even(const secp256k1_scalar_t *a);
/** Check whether a scalar is higher than the group order divided by 2. */
static int secp256k1_scalar_is_high(const secp256k1_scalar_t *a);
/** Conditionally negate a number, in constant time.
* Returns -1 if the number was negated, 1 otherwise */
static int secp256k1_scalar_cond_negate(secp256k1_scalar_t *a, int flag);
#ifndef USE_NUM_NONE
/** Convert a scalar to a number. */
static void secp256k1_scalar_get_num(secp256k1_num_t *r, const secp256k1_scalar_t *a);