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#
# SelfTest/Protocol/test_secret_sharing.py: Self-test for secret sharing protocols
#
# ===================================================================
#
# Copyright (c) 2014, Legrandin <helderijs@gmail.com>
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions
# are met:
#
# 1. Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# 2. Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in
# the documentation and/or other materials provided with the
# distribution.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
# "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
# LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
# FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE
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# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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# ===================================================================
from unittest import main, TestCase, TestSuite
from binascii import unhexlify, hexlify
from Crypto.Util.py3compat import *
from Crypto.SelfTest.st_common import list_test_cases
from Crypto.Protocol.SecretSharing import Shamir, _Element, \
_mult_gf2, _div_gf2
class GF2_Tests(TestCase):
def test_mult_gf2(self):
# Prove mult by zero
x = _mult_gf2(0,0)
self.assertEqual(x, 0)
# Prove mult by unity
x = _mult_gf2(34, 1)
self.assertEqual(x, 34)
z = 3 # (x+1)
y = _mult_gf2(z, z)
self.assertEqual(y, 5) # (x+1)^2 = x^2 + 1
y = _mult_gf2(y, z)
self.assertEqual(y, 15) # (x+1)^3 = x^3 + x^2 + x + 1
y = _mult_gf2(y, z)
self.assertEqual(y, 17) # (x+1)^4 = x^4 + 1
# Prove linearity works
comps = [1, 4, 128, 2**34]
sum_comps = 1+4+128+2**34
y = 908
z = _mult_gf2(sum_comps, y)
w = 0
for x in comps:
w ^= _mult_gf2(x, y)
self.assertEqual(w, z)
def test_div_gf2(self):
from Crypto.Util.number import size as deg
x, y = _div_gf2(567, 7)
self.assertTrue(deg(y) < deg(7))
w = _mult_gf2(x, 7) ^ y
self.assertEqual(567, w)
x, y = _div_gf2(7, 567)
self.assertEqual(x, 0)
self.assertEqual(y, 7)
class Element_Tests(TestCase):
def test1(self):
# Test encondings
e = _Element(256)
self.assertEqual(int(e), 256)
self.assertEqual(e.encode(), bchr(0)*14 + b("\x01\x00"))
e = _Element(bchr(0)*14 + b("\x01\x10"))
self.assertEqual(int(e), 0x110)
self.assertEqual(e.encode(), bchr(0)*14 + b("\x01\x10"))
# Only 16 byte string are a valid encoding
self.assertRaises(ValueError, _Element, bchr(0))
def test2(self):
# Test addition
e = _Element(0x10)
f = _Element(0x0A)
self.assertEqual(int(e+f), 0x1A)
def test3(self):
# Test multiplication
zero = _Element(0)
one = _Element(1)
two = _Element(2)
x = _Element(6) * zero
self.assertEqual(int(x), 0)
x = _Element(6) * one
self.assertEqual(int(x), 6)
x = _Element(2**127) * two
self.assertEqual(int(x), 1 + 2 + 4 + 128)
def test4(self):
# Test inversion
one = _Element(1)
x = one.inverse()
self.assertEqual(int(x), 1)
x = _Element(82323923)
y = x.inverse()
self.assertEqual(int(x * y), 1)
class Shamir_Tests(TestCase):
def test1(self):
# Test splitting
shares = Shamir.split(2, 3, bchr(90)*16)
self.assertEqual(len(shares), 3)
for index in range(3):
self.assertEqual(shares[index][0], index+1)
self.assertEqual(len(shares[index][1]), 16)
def test2(self):
# Test recombine
from itertools import permutations
test_vectors = (
(2, "d9fe73909bae28b3757854c0af7ad405",
"1-594ae8964294174d95c33756d2504170",
"2-d897459d29da574eb40e93ec552ffe6e",
"3-5823de9bf0e068b054b5f07a28056b1b",
"4-db2c1f8bff46d748f795da995bd080cb"),
(2, "bf4f902d9a7efafd1f3ffd9291fd5de9",
"1-557bd3b0748064b533469722d1cc7935",
"2-6b2717164783c66d47cd28f2119f14d0",
"3-8113548ba97d58256bb4424251ae300c",
"4-179e9e5a218483ddaeda57539139cf04"),
(3, "ec96aa5c14c9faa699354cf1da74e904",
"1-64579fbf1908d66f7239bf6e2b4e41e1",
"2-6cd9428df8017b52322561e8c672ae3e",
"3-e418776ef5c0579bd9299277374806dd",
"4-ab3f77a0107398d23b323e581bb43f5d",
"5-23fe42431db2b41bd03ecdc7ea8e97ac"),
(3, "44cf249b68b80fcdc27b47be60c2c145",
"1-d6515a3905cd755119b86e311c801e31",
"2-16693d9ac9f10c254036ced5f8917fa3",
"3-84f74338a48476b99bf5e75a84d3a0d1",
"4-3fe8878dc4a5d35811cf3cbcd33dbe52",
"5-ad76f92fa9d0a9c4ca0c1533af7f6132"),
(5, "5398717c982db935d968eebe53a47f5a",
"1-be7be2dd4c068e7ef576aaa1b1c11b01",
"2-f821f5848441cb98b3eb467e2733ee21",
"3-25ee52f53e203f6e29a0297b5ab486b5",
"4-fc9fb58ef74dab947fbf9acd9d5d83cd",
"5-b1949cce46d81552e65f248d3f74cc5c",
"6-d64797f59977c4d4a7956ad916da7699",
"7-ab608a6546a8b9af8820ff832b1135c7"),
(5, "4a78db90fbf35da5545d2fb728e87596",
"1-08daf9a25d8aa184cfbf02b30a0ed6a0",
"2-dda28261e36f0b14168c2cf153fb734e",
"3-e9fdec5505d674a57f9836c417c1ecaa",
"4-4dce5636ae06dee42d2c82e65f06c735",
"5-3963dc118afc2ba798fa1d452b28ef00",
"6-6dfe6ff5b09e94d2f84c382b12f42424",
"7-6faea9d4d4a4e201bf6c90b9000630c3"),
(10, "eccbf6d66d680b49b073c4f1ddf804aa",
"01-7d8ac32fe4ae209ead1f3220fda34466",
"02-f9144e76988aad647d2e61353a6e96d5",
"03-b14c3b80179203363922d60760271c98",
"04-770bb2a8c28f6cee89e00f4d5cc7f861",
"05-6e3d7073ea368334ef67467871c66799",
"06-248792bc74a98ce024477c13c8fb5f8d",
"07-fcea4640d2db820c0604851e293d2487",
"08-2776c36fb714bb1f8525a0be36fc7dba",
"09-6ee7ac8be773e473a4bf75ee5f065762",
"10-33657fc073354cf91d4a68c735aacfc8",
"11-7645c65094a5868bf225c516fdee2d0c",
"12-840485aacb8226631ecd9c70e3018086"),
(10, "377e63bdbb5f7d4dc58a483d035212bb",
"01-32c53260103be431c843b1a633afe3bd",
"02-0107eb16cb8695084d452d2cc50bc7d6",
"03-df1e5c66cd755287fb0446faccd72a06",
"04-361bbcd5d40797f49dfa1898652da197",
"05-160d3ad1512f7dec7fd9344aed318591",
"06-659af6d95df4f25beca4fb9bfee3b7e8",
"07-37f3b208977bad50b3724566b72bfa9d",
"08-6c1de2dfc69c2986142c26a8248eb316",
"09-5e19220837a396bd4bc8cd685ff314c3",
"10-86e7b864fb0f3d628e46d50c1ba92f1c",
"11-065d0082c80b1aea18f4abe0c49df72e",
"12-84a09430c1d20ea9f388f3123c3733a3"),
)
def get_share(p):
pos = p.find('-')
return int(p[:pos]), unhexlify(p[pos + 1:])
for tv in test_vectors:
k = tv[0]
secret = unhexlify(tv[1])
max_perms = 10
for perm, shares_idx in enumerate(permutations(range(2, len(tv)), k)):
if perm > max_perms:
break
shares = [ get_share(tv[x]) for x in shares_idx ]
result = Shamir.combine(shares, True)
self.assertEqual(secret, result)
def test3(self):
# Loopback split/recombine
secret = unhexlify(b("000102030405060708090a0b0c0d0e0f"))
shares = Shamir.split(2, 3, secret)
secret2 = Shamir.combine(shares[:2])
self.assertEqual(secret, secret2)
secret3 = Shamir.combine([ shares[0], shares[2] ])
self.assertEqual(secret, secret3)
def test4(self):
# Loopback split/recombine (SSSS)
secret = unhexlify(b("000102030405060708090a0b0c0d0e0f"))
shares = Shamir.split(2, 3, secret, ssss=True)
secret2 = Shamir.combine(shares[:2], ssss=True)
self.assertEqual(secret, secret2)
def test5(self):
# Detect duplicate shares
secret = unhexlify(b("000102030405060708090a0b0c0d0e0f"))
shares = Shamir.split(2, 3, secret)
self.assertRaises(ValueError, Shamir.combine, (shares[0], shares[0]))
def get_tests(config={}):
tests = []
tests += list_test_cases(GF2_Tests)
tests += list_test_cases(Element_Tests)
tests += list_test_cases(Shamir_Tests)
return tests
if __name__ == '__main__':
suite = lambda: TestSuite(get_tests())
main(defaultTest='suite')
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