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Filename :
test_ECC_448.py
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# =================================================================== # # Copyright (c) 2022, 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 # 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. # =================================================================== import unittest from binascii import unhexlify from Crypto.SelfTest.st_common import list_test_cases from Crypto.SelfTest.loader import load_test_vectors from Crypto.PublicKey import ECC from Crypto.PublicKey.ECC import EccPoint, _curves, EccKey from Crypto.Math.Numbers import Integer from Crypto.Hash import SHAKE128 class TestEccPoint_Ed448(unittest.TestCase): Gxy = {"x": 0x4f1970c66bed0ded221d15a622bf36da9e146570470f1767ea6de324a3d3a46412ae1af72ab66511433b80e18b00938e2626a82bc70cc05e, "y": 0x693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14} G2xy = {"x": 0xaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa955555555555555555555555555555555555555555555555555555555, "y": 0xae05e9634ad7048db359d6205086c2b0036ed7a035884dd7b7e36d728ad8c4b80d6565833a2a3098bbbcb2bed1cda06bdaeafbcdea9386ed} G3xy = {"x": 0x865886b9108af6455bd64316cb6943332241b8b8cda82c7e2ba077a4a3fcfe8daa9cbf7f6271fd6e862b769465da8575728173286ff2f8f, "y": 0xe005a8dbd5125cf706cbda7ad43aa6449a4a8d952356c3b9fce43c82ec4e1d58bb3a331bdb6767f0bffa9a68fed02dafb822ac13588ed6fc} pointG = EccPoint(Gxy['x'], Gxy['y'], curve="Ed448") pointG2 = EccPoint(G2xy['x'], G2xy['y'], curve="Ed448") pointG3 = EccPoint(G3xy['x'], G3xy['y'], curve="Ed448") def test_init_xy(self): EccPoint(self.Gxy['x'], self.Gxy['y'], curve="Ed448") # Neutral point pai = EccPoint(0, 1, curve="Ed448") self.assertEqual(pai.x, 0) self.assertEqual(pai.y, 1) self.assertEqual(pai.xy, (0, 1)) # G bp = self.pointG.copy() self.assertEqual(bp.x, 0x4f1970c66bed0ded221d15a622bf36da9e146570470f1767ea6de324a3d3a46412ae1af72ab66511433b80e18b00938e2626a82bc70cc05e) self.assertEqual(bp.y, 0x693f46716eb6bc248876203756c9c7624bea73736ca3984087789c1e05a0c2d73ad3ff1ce67c39c4fdbd132c4ed7c8ad9808795bf230fa14) self.assertEqual(bp.xy, (bp.x, bp.y)) # 2G bp2 = self.pointG2.copy() self.assertEqual(bp2.x, 0xaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa955555555555555555555555555555555555555555555555555555555) self.assertEqual(bp2.y, 0xae05e9634ad7048db359d6205086c2b0036ed7a035884dd7b7e36d728ad8c4b80d6565833a2a3098bbbcb2bed1cda06bdaeafbcdea9386ed) self.assertEqual(bp2.xy, (bp2.x, bp2.y)) # 5G EccPoint(x=0x7a9f9335a48dcb0e2ba7601eedb50def80cbcf728562ada756d761e8958812808bc0d57a920c3c96f07b2d8cefc6f950d0a99d1092030034, y=0xadfd751a2517edd3b9109ce4fd580ade260ca1823ab18fced86551f7b698017127d7a4ee59d2b33c58405512881f225443b4731472f435eb, curve="Ed448") # Catch if point is not on the curve self.assertRaises(ValueError, EccPoint, 34, 35, curve="Ed448") def test_set(self): pointW = EccPoint(0, 1, curve="Ed448") pointW.set(self.pointG) self.assertEqual(pointW.x, self.pointG.x) self.assertEqual(pointW.y, self.pointG.y) def test_copy(self): pointW = self.pointG.copy() self.assertEqual(pointW.x, self.pointG.x) self.assertEqual(pointW.y, self.pointG.y) def test_equal(self): pointH = self.pointG.copy() pointI = self.pointG2.copy() self.assertEqual(self.pointG, pointH) self.assertNotEqual(self.pointG, pointI) def test_pai(self): pai = EccPoint(0, 1, curve="Ed448") self.assertTrue(pai.is_point_at_infinity()) self.assertEqual(pai, pai.point_at_infinity()) def test_negate(self): negG = -self.pointG sum = self.pointG + negG self.assertTrue(sum.is_point_at_infinity()) def test_addition(self): self.assertEqual(self.pointG + self.pointG2, self.pointG3) self.assertEqual(self.pointG2 + self.pointG, self.pointG3) self.assertEqual(self.pointG2 + self.pointG.point_at_infinity(), self.pointG2) self.assertEqual(self.pointG.point_at_infinity() + self.pointG2, self.pointG2) G5 = self.pointG2 + self.pointG3 self.assertEqual(G5.x, 0x7a9f9335a48dcb0e2ba7601eedb50def80cbcf728562ada756d761e8958812808bc0d57a920c3c96f07b2d8cefc6f950d0a99d1092030034) self.assertEqual(G5.y, 0xadfd751a2517edd3b9109ce4fd580ade260ca1823ab18fced86551f7b698017127d7a4ee59d2b33c58405512881f225443b4731472f435eb) def test_inplace_addition(self): pointH = self.pointG.copy() pointH += self.pointG self.assertEqual(pointH, self.pointG2) pointH += self.pointG self.assertEqual(pointH, self.pointG3) pointH += self.pointG.point_at_infinity() self.assertEqual(pointH, self.pointG3) def test_doubling(self): pointH = self.pointG.copy() pointH.double() self.assertEqual(pointH.x, self.pointG2.x) self.assertEqual(pointH.y, self.pointG2.y) # 2*0 pai = self.pointG.point_at_infinity() pointR = pai.copy() pointR.double() self.assertEqual(pointR, pai) def test_scalar_multiply(self): d = 0 pointH = d * self.pointG self.assertEqual(pointH.x, 0) self.assertEqual(pointH.y, 1) d = 1 pointH = d * self.pointG self.assertEqual(pointH.x, self.pointG.x) self.assertEqual(pointH.y, self.pointG.y) d = 2 pointH = d * self.pointG self.assertEqual(pointH.x, self.pointG2.x) self.assertEqual(pointH.y, self.pointG2.y) d = 3 pointH = d * self.pointG self.assertEqual(pointH.x, self.pointG3.x) self.assertEqual(pointH.y, self.pointG3.y) d = 4 pointH = d * self.pointG self.assertEqual(pointH.x, 0x49dcbc5c6c0cce2c1419a17226f929ea255a09cf4e0891c693fda4be70c74cc301b7bdf1515dd8ba21aee1798949e120e2ce42ac48ba7f30) self.assertEqual(pointH.y, 0xd49077e4accde527164b33a5de021b979cb7c02f0457d845c90dc3227b8a5bc1c0d8f97ea1ca9472b5d444285d0d4f5b32e236f86de51839) d = 5 pointH = d * self.pointG self.assertEqual(pointH.x, 0x7a9f9335a48dcb0e2ba7601eedb50def80cbcf728562ada756d761e8958812808bc0d57a920c3c96f07b2d8cefc6f950d0a99d1092030034) self.assertEqual(pointH.y, 0xadfd751a2517edd3b9109ce4fd580ade260ca1823ab18fced86551f7b698017127d7a4ee59d2b33c58405512881f225443b4731472f435eb) d = 10 pointH = d * self.pointG self.assertEqual(pointH.x, 0x77486f9d19f6411cdd35d30d1c3235f71936452c787e5c034134d3e8172278aca61622bc805761ce3dab65118a0122d73b403165d0ed303d) self.assertEqual(pointH.y, 0x4d2fea0b026be11024f1f0fe7e94e618e8ac17381ada1d1bf7ee293a68ff5d0bf93c1997dc1aabdc0c7e6381428d85b6b1954a89e4cddf67) d = 20 pointH = d * self.pointG self.assertEqual(pointH.x, 0x3c236422354600fe6763defcc1503737e4ed89e262d0de3ec1e552020f2a56fe3b9e1e012d021072598c3c2821e18268bb8fb8339c0d1216) self.assertEqual(pointH.y, 0xb555b9721f630ccb05fc466de4c74d3d2781e69eca88e1b040844f04cab39fd946f91c688fa42402bb38fb9c3e61231017020b219b4396e1) d = 255 pointH = d * self.pointG self.assertEqual(pointH.x, 0xbeb7f8388b05cd9c1aa2e3c0dcf31e2b563659361826225390e7748654f627d5c36cbe627e9019936b56d15d4dad7c337c09bac64ff4197f) self.assertEqual(pointH.y, 0x1e37312b2dd4e9440c43c6e7725fc4fa3d11e582d4863f1d018e28f50c0efdb1f53f9b01ada7c87fa162b1f0d72401015d57613d25f1ad53) d = 256 pointH = d * self.pointG self.assertEqual(pointH.x, 0xf19c34feb56730e3e2be761ac0a2a2b24853b281dda019fc35a5ab58e3696beb39609ae756b0d20fb7ccf0d79aaf5f3bca2e4fdb25bfac1c) self.assertEqual(pointH.y, 0x3beb69cc9111bffcaddc61d363ce6fe5dd44da4aadce78f52e92e985d5442344ced72c4611ed0daac9f4f5661eab73d7a12d25ce8a30241e) def test_sizes(self): self.assertEqual(self.pointG.size_in_bits(), 448) self.assertEqual(self.pointG.size_in_bytes(), 56) class TestEccKey_Ed448(unittest.TestCase): def test_private_key(self): seed = unhexlify("4adf5d37ac6785e83e99a924f92676d366a78690af59c92b6bdf14f9cdbcf26fdad478109607583d633b60078d61d51d81b7509c5433b0d4c9") Px = 0x72a01eea003a35f9ac44231dc4aae2a382f351d80bf32508175b0855edcf389aa2bbf308dd961ce361a6e7c2091bc78957f6ebcf3002a617 Py = 0x9e0d08d84586e9aeefecacb41d049b831f1a3ee0c3eada63e34557b30702b50ab59fb372feff7c30b8cbb7dd51afbe88444ec56238722ec1 key = EccKey(curve="Ed448", seed=seed) self.assertEqual(key.seed, seed) self.assertEqual(key.d, 0xb07cf179604f83433186e5178760c759c15125ee54ff6f8dcde46e872b709ac82ed0bd0a4e036d774034dcb18a9fb11894657a1485895f80) self.assertTrue(key.has_private()) self.assertEqual(key.pointQ.x, Px) self.assertEqual(key.pointQ.y, Py) point = EccPoint(Px, Py, "ed448") key = EccKey(curve="Ed448", seed=seed, point=point) self.assertEqual(key.d, 0xb07cf179604f83433186e5178760c759c15125ee54ff6f8dcde46e872b709ac82ed0bd0a4e036d774034dcb18a9fb11894657a1485895f80) self.assertTrue(key.has_private()) self.assertEqual(key.pointQ, point) # Other names key = EccKey(curve="ed448", seed=seed) # Must not accept d parameter self.assertRaises(ValueError, EccKey, curve="ed448", d=1) def test_public_key(self): point = EccPoint(_curves['ed448'].Gx, _curves['ed448'].Gy, curve='ed448') key = EccKey(curve="ed448", point=point) self.assertFalse(key.has_private()) self.assertEqual(key.pointQ, point) def test_public_key_derived(self): priv_key = EccKey(curve="ed448", seed=b'H'*57) pub_key = priv_key.public_key() self.assertFalse(pub_key.has_private()) self.assertEqual(priv_key.pointQ, pub_key.pointQ) def test_invalid_seed(self): self.assertRaises(ValueError, lambda: EccKey(curve="ed448", seed=b'H' * 56)) def test_equality(self): private_key = ECC.construct(seed=b'H'*57, curve="Ed448") private_key2 = ECC.construct(seed=b'H'*57, curve="ed448") private_key3 = ECC.construct(seed=b'C'*57, curve="Ed448") public_key = private_key.public_key() public_key2 = private_key2.public_key() public_key3 = private_key3.public_key() self.assertEqual(private_key, private_key2) self.assertNotEqual(private_key, private_key3) self.assertEqual(public_key, public_key2) self.assertNotEqual(public_key, public_key3) self.assertNotEqual(public_key, private_key) def test_name_consistency(self): key = ECC.generate(curve='ed448') self.assertIn("curve='Ed448'", repr(key)) self.assertEqual(key.curve, 'Ed448') self.assertEqual(key.public_key().curve, 'Ed448') class TestEccModule_Ed448(unittest.TestCase): def test_generate(self): key = ECC.generate(curve="Ed448") self.assertTrue(key.has_private()) point = EccPoint(_curves['Ed448'].Gx, _curves['Ed448'].Gy, curve="Ed448") * key.d self.assertEqual(key.pointQ, point) # Always random key2 = ECC.generate(curve="Ed448") self.assertNotEqual(key, key2) # Other names ECC.generate(curve="Ed448") # Random source key1 = ECC.generate(curve="Ed448", randfunc=SHAKE128.new().read) key2 = ECC.generate(curve="Ed448", randfunc=SHAKE128.new().read) self.assertEqual(key1, key2) def test_construct(self): seed = unhexlify("4adf5d37ac6785e83e99a924f92676d366a78690af59c92b6bdf14f9cdbcf26fdad478109607583d633b60078d61d51d81b7509c5433b0d4c9") Px = 0x72a01eea003a35f9ac44231dc4aae2a382f351d80bf32508175b0855edcf389aa2bbf308dd961ce361a6e7c2091bc78957f6ebcf3002a617 Py = 0x9e0d08d84586e9aeefecacb41d049b831f1a3ee0c3eada63e34557b30702b50ab59fb372feff7c30b8cbb7dd51afbe88444ec56238722ec1 d = 0xb07cf179604f83433186e5178760c759c15125ee54ff6f8dcde46e872b709ac82ed0bd0a4e036d774034dcb18a9fb11894657a1485895f80 point = EccPoint(Px, Py, curve="Ed448") # Private key only key = ECC.construct(curve="Ed448", seed=seed) self.assertEqual(key.pointQ, point) self.assertTrue(key.has_private()) # Public key only key = ECC.construct(curve="Ed448", point_x=Px, point_y=Py) self.assertEqual(key.pointQ, point) self.assertFalse(key.has_private()) # Private and public key key = ECC.construct(curve="Ed448", seed=seed, point_x=Px, point_y=Py) self.assertEqual(key.pointQ, point) self.assertTrue(key.has_private()) # Other names key = ECC.construct(curve="ed448", seed=seed) def test_negative_construct(self): coord = dict(point_x=10, point_y=4) coordG = dict(point_x=_curves['ed448'].Gx, point_y=_curves['ed448'].Gy) self.assertRaises(ValueError, ECC.construct, curve="Ed448", **coord) self.assertRaises(ValueError, ECC.construct, curve="Ed448", d=2, **coordG) self.assertRaises(ValueError, ECC.construct, curve="Ed448", seed=b'H'*58) def get_tests(config={}): tests = [] tests += list_test_cases(TestEccPoint_Ed448) tests += list_test_cases(TestEccKey_Ed448) tests += list_test_cases(TestEccModule_Ed448) return tests if __name__ == '__main__': def suite(): return unittest.TestSuite(get_tests()) unittest.main(defaultTest='suite')