poly1305.py
1 #!/usr/bin/env python3 2 # Copyright (c) 2022-present The Bitcoin Core developers 3 # Distributed under the MIT software license, see the accompanying 4 # file COPYING or http://www.opensource.org/licenses/mit-license.php. 5 6 """Test-only implementation of Poly1305 authenticator 7 8 It is designed for ease of understanding, not performance. 9 10 WARNING: This code is slow and trivially vulnerable to side channel attacks. Do not use for 11 anything but tests. 12 """ 13 14 import unittest 15 16 17 class Poly1305: 18 """Class representing a running poly1305 computation.""" 19 MODULUS = 2**130 - 5 20 21 def __init__(self, key): 22 self.r = int.from_bytes(key[:16], 'little') & 0xffffffc0ffffffc0ffffffc0fffffff 23 self.s = int.from_bytes(key[16:], 'little') 24 25 def tag(self, data): 26 """Compute the poly1305 tag.""" 27 acc, length = 0, len(data) 28 for i in range((length + 15) // 16): 29 chunk = data[i * 16:min(length, (i + 1) * 16)] 30 val = int.from_bytes(chunk, 'little') + 256**len(chunk) 31 acc = (self.r * (acc + val)) % Poly1305.MODULUS 32 return ((acc + self.s) & 0xffffffffffffffffffffffffffffffff).to_bytes(16, 'little') 33 34 35 # Test vectors from RFC7539/8439 consisting of message to be authenticated, 32 byte key and computed 16 byte tag 36 POLY1305_TESTS = [ 37 # RFC 7539, section 2.5.2. 38 ["43727970746f6772617068696320466f72756d2052657365617263682047726f7570", 39 "85d6be7857556d337f4452fe42d506a80103808afb0db2fd4abff6af4149f51b", 40 "a8061dc1305136c6c22b8baf0c0127a9"], 41 # RFC 7539, section A.3. 42 ["00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000" 43 "000000000000000000000000000", 44 "0000000000000000000000000000000000000000000000000000000000000000", 45 "00000000000000000000000000000000"], 46 ["416e79207375626d697373696f6e20746f20746865204945544620696e74656e6465642062792074686520436f6e747269627" 47 "5746f7220666f72207075626c69636174696f6e20617320616c6c206f722070617274206f6620616e204945544620496e7465" 48 "726e65742d4472616674206f722052464320616e6420616e792073746174656d656e74206d6164652077697468696e2074686" 49 "520636f6e74657874206f6620616e204945544620616374697669747920697320636f6e7369646572656420616e2022494554" 50 "4620436f6e747269627574696f6e222e20537563682073746174656d656e747320696e636c756465206f72616c20737461746" 51 "56d656e747320696e20494554462073657373696f6e732c2061732077656c6c206173207772697474656e20616e6420656c65" 52 "6374726f6e696320636f6d6d756e69636174696f6e73206d61646520617420616e792074696d65206f7220706c6163652c207" 53 "768696368206172652061646472657373656420746f", 54 "0000000000000000000000000000000036e5f6b5c5e06070f0efca96227a863e", 55 "36e5f6b5c5e06070f0efca96227a863e"], 56 ["416e79207375626d697373696f6e20746f20746865204945544620696e74656e6465642062792074686520436f6e747269627" 57 "5746f7220666f72207075626c69636174696f6e20617320616c6c206f722070617274206f6620616e204945544620496e7465" 58 "726e65742d4472616674206f722052464320616e6420616e792073746174656d656e74206d6164652077697468696e2074686" 59 "520636f6e74657874206f6620616e204945544620616374697669747920697320636f6e7369646572656420616e2022494554" 60 "4620436f6e747269627574696f6e222e20537563682073746174656d656e747320696e636c756465206f72616c20737461746" 61 "56d656e747320696e20494554462073657373696f6e732c2061732077656c6c206173207772697474656e20616e6420656c65" 62 "6374726f6e696320636f6d6d756e69636174696f6e73206d61646520617420616e792074696d65206f7220706c6163652c207" 63 "768696368206172652061646472657373656420746f", 64 "36e5f6b5c5e06070f0efca96227a863e00000000000000000000000000000000", 65 "f3477e7cd95417af89a6b8794c310cf0"], 66 ["2754776173206272696c6c69672c20616e642074686520736c6974687920746f7665730a446964206779726520616e6420676" 67 "96d626c6520696e2074686520776162653a0a416c6c206d696d737920776572652074686520626f726f676f7665732c0a416e" 68 "6420746865206d6f6d65207261746873206f757467726162652e", 69 "1c9240a5eb55d38af333888604f6b5f0473917c1402b80099dca5cbc207075c0", 70 "4541669a7eaaee61e708dc7cbcc5eb62"], 71 ["ffffffffffffffffffffffffffffffff", 72 "0200000000000000000000000000000000000000000000000000000000000000", 73 "03000000000000000000000000000000"], 74 ["02000000000000000000000000000000", 75 "02000000000000000000000000000000ffffffffffffffffffffffffffffffff", 76 "03000000000000000000000000000000"], 77 ["fffffffffffffffffffffffffffffffff0ffffffffffffffffffffffffffffff11000000000000000000000000000000", 78 "0100000000000000000000000000000000000000000000000000000000000000", 79 "05000000000000000000000000000000"], 80 ["fffffffffffffffffffffffffffffffffbfefefefefefefefefefefefefefefe01010101010101010101010101010101", 81 "0100000000000000000000000000000000000000000000000000000000000000", 82 "00000000000000000000000000000000"], 83 ["fdffffffffffffffffffffffffffffff", 84 "0200000000000000000000000000000000000000000000000000000000000000", 85 "faffffffffffffffffffffffffffffff"], 86 ["e33594d7505e43b900000000000000003394d7505e4379cd01000000000000000000000000000000000000000000000001000000000000000000000000000000", 87 "0100000000000000040000000000000000000000000000000000000000000000", 88 "14000000000000005500000000000000"], 89 ["e33594d7505e43b900000000000000003394d7505e4379cd010000000000000000000000000000000000000000000000", 90 "0100000000000000040000000000000000000000000000000000000000000000", 91 "13000000000000000000000000000000"], 92 ] 93 94 95 class TestFrameworkPoly1305(unittest.TestCase): 96 def test_poly1305(self): 97 """Poly1305 test vectors.""" 98 for test_vector in POLY1305_TESTS: 99 hex_message, hex_key, hex_tag = test_vector 100 message = bytes.fromhex(hex_message) 101 key = bytes.fromhex(hex_key) 102 tag = bytes.fromhex(hex_tag) 103 comp_tag = Poly1305(key).tag(message) 104 self.assertEqual(tag, comp_tag)