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Using pow(x, y, modp) where applicable

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Additionally minor reformatting.

Closes #1
This commit is contained in:
Piotr Lizonczyk
2017-10-08 00:36:18 +02:00
parent ed4a452cc5
commit d4c4d2e1bd
1 changed files with 24 additions and 26 deletions
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50
noise/crypto.py
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@@ -61,8 +61,8 @@ class X448(object):
d = (x3 - z3) % P
da = (d * a) % P
cb = (c * b) % P
x3 = (((da + cb) % P) ** 2) % P
z3 = (x1 * (((da - cb) % P) ** 2) % P) % P
x3 = pow((da + cb) % P, 2, P)
z3 = (x1 * pow((da - cb) % P, 2, P)) % P
x2 = (aa * bb) % P
z2 = (e * ((aa + (A24 * e) % P) % P)) % P
@@ -82,31 +82,29 @@ class X448(object):
# Self-test
# Test vectors taken from RFC 7748 section 5.2 and 6.2
scalar1 = bytes.fromhex('203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b437'
'1282dd2c8d5be3095f')
u1 = bytes.fromhex('0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfb'
'de71ce8d157db')
assert X448.mul(scalar1, u1) == bytes.fromhex('884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df3'
'4321d62077e63633c575c1c954514e99da7c179d')
scalar1 = bytes.fromhex(
'203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f')
u1 = bytes.fromhex(
'0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db')
assert X448.mul(scalar1, u1) == bytes.fromhex(
'884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d')
scalar2 = bytes.fromhex('3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f5'
'4b29259a4f1c600ad3')
u2 = bytes.fromhex('06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa'
'7a7fb4ef8a086')
assert X448.mul(scalar2, u2) == bytes.fromhex('ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc6'
'6a01b0779d98223961111e21766282f73dd96b6f')
scalar2 = bytes.fromhex(
'3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3')
u2 = bytes.fromhex(
'06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086')
assert X448.mul(scalar2, u2) == bytes.fromhex(
'ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f')
alice_priv = bytes.fromhex('9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f12'
'7ab1d9ac2d8c0a598726b')
alice_pub = bytes.fromhex('9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da8812'
'0d53177f80e532c41fa0')
bob_priv = bytes.fromhex('1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d'
'1b0366f10b65173992d')
bob_pub = bytes.fromhex('3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3d'
'ae07bdc1c67bf33609')
alice_priv = bytes.fromhex(
'9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b')
alice_pub = bytes.fromhex(
'9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0')
bob_priv = bytes.fromhex(
'1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d')
bob_pub = bytes.fromhex(
'3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609')
assert alice_pub == X448.mul_5(alice_priv)
assert bob_pub == X448.mul_5(bob_priv)
assert X448.mul(alice_priv, bob_pub) == X448.mul(bob_priv, alice_pub) == bytes.fromhex('07fff4181ac6cc95ec1c16a94a0f74d'
'12da232ce40a77552281d282bb60c0b'
'56fd2464c335543936521c24403085d'
'59a449a5037514a879d')
assert X448.mul(alice_priv, bob_pub) == X448.mul(bob_priv, alice_pub) == bytes.fromhex(
'07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d')