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15 changes: 7 additions & 8 deletions src/ecdsa/ecdsa.py
Original file line number Diff line number Diff line change
Expand Up @@ -249,22 +249,21 @@ def sign(self, hash, random_k):
G = self.public_key.generator
n = G.order()
k = random_k % n
# Fix the bit-length of the random nonce,
# so that it doesn't leak via timing.
# This does not change that ks = k mod n
n_bits = bit_length(n)
ks = k + n
kt = ks + n
if bit_length(ks) == bit_length(n):
if bit_length(ks) == n_bits:
p1 = kt * G
else:
p1 = ks * G
r = p1.x() % n
if r == 0:
raise RSZeroError("amazingly unlucky random number r")
s = (
numbertheory.inverse_mod(k, n)
* (hash + (self.secret_multiplier * r) % n)
) % n
hash_mod = hash % n
secret_r = (self.secret_multiplier * r) % n
s_input = (hash_mod + secret_r) % n
k_inv = numbertheory.inverse_mod(k, n)
s = (k_inv * s_input) % n
if s == 0:
raise RSZeroError("amazingly unlucky random number s")
return Signature(r, s)
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