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Fix side-channel leakage in RSA decryption
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# | ||
# SelfTest/Math/test_modmult.py: Self-test for custom modular multiplication | ||
# | ||
# =================================================================== | ||
# | ||
# Copyright (c) 2023, Helder Eijs <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 | ||
# COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, | ||
# INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, | ||
# BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; | ||
# LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER | ||
# CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT | ||
# LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN | ||
# ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE | ||
# POSSIBILITY OF SUCH DAMAGE. | ||
# =================================================================== | ||
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"""Self-test for the custom modular multiplication""" | ||
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import unittest | ||
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from Crypto.SelfTest.st_common import list_test_cases | ||
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from Crypto.Util.number import long_to_bytes, bytes_to_long | ||
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from Crypto.Util._raw_api import (create_string_buffer, | ||
get_raw_buffer, | ||
c_size_t) | ||
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from Crypto.Math._IntegerCustom import _raw_montgomery | ||
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class ExceptionModulus(ValueError): | ||
pass | ||
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def monty_mult(term1, term2, modulus): | ||
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if term1 >= modulus: | ||
term1 %= modulus | ||
if term2 >= modulus: | ||
term2 %= modulus | ||
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modulus_b = long_to_bytes(modulus) | ||
numbers_len = len(modulus_b) | ||
term1_b = long_to_bytes(term1, numbers_len) | ||
term2_b = long_to_bytes(term2, numbers_len) | ||
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out = create_string_buffer(numbers_len) | ||
error = _raw_montgomery.monty_multiply( | ||
out, | ||
term1_b, | ||
term2_b, | ||
modulus_b, | ||
c_size_t(numbers_len) | ||
) | ||
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if error == 17: | ||
raise ExceptionModulus() | ||
if error: | ||
raise ValueError("monty_multiply() failed with error: %d" % error) | ||
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return get_raw_buffer(out) | ||
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modulus1 = 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 | ||
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class TestModMultiply(unittest.TestCase): | ||
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def test_small(self): | ||
self.assertEqual(b"\x01", monty_mult(5, 6, 29)) | ||
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def test_large(self): | ||
numbers_len = (modulus1.bit_length() + 7) // 8 | ||
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t1 = modulus1 // 2 | ||
t2 = modulus1 - 90 | ||
expect = b'\x00' * (numbers_len - 1) + b'\x2d' | ||
self.assertEqual(expect, monty_mult(t1, t2, modulus1)) | ||
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def test_zero_term(self): | ||
numbers_len = (modulus1.bit_length() + 7) // 8 | ||
expect = b'\x00' * numbers_len | ||
self.assertEqual(expect, monty_mult(0x100, 0, modulus1)) | ||
self.assertEqual(expect, monty_mult(0, 0x100, modulus1)) | ||
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def test_larger_term(self): | ||
t1 = 2**2047 | ||
expect_int = 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 | ||
res = bytes_to_long(monty_mult(t1, t1, modulus1)) | ||
self.assertEqual(res, expect_int) | ||
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def get_tests(config={}): | ||
tests = [] | ||
tests += list_test_cases(TestModMultiply) | ||
return tests | ||
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if __name__ == '__main__': | ||
def suite(): | ||
return unittest.TestSuite(get_tests()) | ||
unittest.main(defaultTest='suite') |
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