# Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or # implied. # See the License for the specific language governing permissions and # limitations under the License. from __future__ import absolute_import, division, print_function import os import textwrap import six import pretend import pytest from .utils import ( load_nist_vectors, load_vectors_from_file, load_cryptrec_vectors, load_hash_vectors, check_for_iface, check_backend_support, select_backends, load_pkcs1_vectors, load_rsa_nist_vectors, load_fips_dsa_key_pair_vectors ) class FakeInterface(object): pass def test_select_one_backend(): b1 = pretend.stub(name="b1") b2 = pretend.stub(name="b2") b3 = pretend.stub(name="b3") backends = [b1, b2, b3] name = "b2" selected_backends = select_backends(name, backends) assert len(selected_backends) == 1 assert selected_backends[0] == b2 def test_select_no_backend(): b1 = pretend.stub(name="b1") b2 = pretend.stub(name="b2") b3 = pretend.stub(name="b3") backends = [b1, b2, b3] name = "back!" with pytest.raises(ValueError): select_backends(name, backends) def test_select_backends_none(): b1 = pretend.stub(name="b1") b2 = pretend.stub(name="b2") b3 = pretend.stub(name="b3") backends = [b1, b2, b3] name = None selected_backends = select_backends(name, backends) assert len(selected_backends) == 3 def test_select_two_backends(): b1 = pretend.stub(name="b1") b2 = pretend.stub(name="b2") b3 = pretend.stub(name="b3") backends = [b1, b2, b3] name = "b2 ,b1 " selected_backends = select_backends(name, backends) assert len(selected_backends) == 2 assert selected_backends == [b1, b2] def test_check_for_iface(): item = pretend.stub(keywords=["fake_name"], funcargs={"backend": True}) with pytest.raises(pytest.skip.Exception) as exc_info: check_for_iface("fake_name", FakeInterface, item) assert exc_info.value.args[0] == "True backend does not support fake_name" item = pretend.stub( keywords=["fake_name"], funcargs={"backend": FakeInterface()} ) check_for_iface("fake_name", FakeInterface, item) def test_check_backend_support_skip(): supported = pretend.stub( kwargs={"only_if": lambda backend: False, "skip_message": "Nope"} ) item = pretend.stub(keywords={"supported": supported}, funcargs={"backend": True}) with pytest.raises(pytest.skip.Exception) as exc_info: check_backend_support(item) assert exc_info.value.args[0] == "Nope (True)" def test_check_backend_support_no_skip(): supported = pretend.stub( kwargs={"only_if": lambda backend: True, "skip_message": "Nope"} ) item = pretend.stub(keywords={"supported": supported}, funcargs={"backend": True}) assert check_backend_support(item) is None def test_check_backend_support_no_backend(): supported = pretend.stub( kwargs={"only_if": "notalambda", "skip_message": "Nope"} ) item = pretend.stub(keywords={"supported": supported}, funcargs={}) with pytest.raises(ValueError): check_backend_support(item) def test_load_nist_vectors(): vector_data = textwrap.dedent(""" # CAVS 11.1 # Config info for aes_values # AESVS GFSbox test data for CBC # State : Encrypt and Decrypt # Key Length : 128 # Generated on Fri Apr 22 15:11:33 2011 [ENCRYPT] COUNT = 0 KEY = 00000000000000000000000000000000 IV = 00000000000000000000000000000000 PLAINTEXT = f34481ec3cc627bacd5dc3fb08f273e6 CIPHERTEXT = 0336763e966d92595a567cc9ce537f5e COUNT = 1 KEY = 00000000000000000000000000000000 IV = 00000000000000000000000000000000 PLAINTEXT = 9798c4640bad75c7c3227db910174e72 CIPHERTEXT = a9a1631bf4996954ebc093957b234589 [DECRYPT] COUNT = 0 KEY = 00000000000000000000000000000000 IV = 00000000000000000000000000000000 CIPHERTEXT = 0336763e966d92595a567cc9ce537f5e PLAINTEXT = f34481ec3cc627bacd5dc3fb08f273e6 COUNT = 1 KEY = 00000000000000000000000000000000 IV = 00000000000000000000000000000000 CIPHERTEXT = a9a1631bf4996954ebc093957b234589 PLAINTEXT = 9798c4640bad75c7c3227db910174e72 """).splitlines() assert load_nist_vectors(vector_data) == [ { "key": b"00000000000000000000000000000000", "iv": b"00000000000000000000000000000000", "plaintext": b"f34481ec3cc627bacd5dc3fb08f273e6", "ciphertext": b"0336763e966d92595a567cc9ce537f5e", }, { "key": b"00000000000000000000000000000000", "iv": b"00000000000000000000000000000000", "plaintext": b"9798c4640bad75c7c3227db910174e72", "ciphertext": b"a9a1631bf4996954ebc093957b234589", }, { "key": b"00000000000000000000000000000000", "iv": b"00000000000000000000000000000000", "plaintext": b"f34481ec3cc627bacd5dc3fb08f273e6", "ciphertext": b"0336763e966d92595a567cc9ce537f5e", }, { "key": b"00000000000000000000000000000000", "iv": b"00000000000000000000000000000000", "plaintext": b"9798c4640bad75c7c3227db910174e72", "ciphertext": b"a9a1631bf4996954ebc093957b234589", }, ] def test_load_nist_vectors_with_null_chars(): vector_data = textwrap.dedent(""" COUNT = 0 KEY = thing\\0withnulls COUNT = 1 KEY = 00000000000000000000000000000000 """).splitlines() assert load_nist_vectors(vector_data) == [ { "key": b"thing\x00withnulls", }, { "key": b"00000000000000000000000000000000", }, ] def test_load_cryptrec_vectors(): vector_data = textwrap.dedent(""" # Vectors taken from http://info.isl.ntt.co.jp/crypt/eng/camellia/ # Download is t_camelia.txt # Camellia with 128-bit key K No.001 : 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 P No.001 : 80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 C No.001 : 07 92 3A 39 EB 0A 81 7D 1C 4D 87 BD B8 2D 1F 1C P No.002 : 40 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 C No.002 : 48 CD 64 19 80 96 72 D2 34 92 60 D8 9A 08 D3 D3 K No.002 : 10 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 P No.001 : 80 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 C No.001 : 07 92 3A 39 EB 0A 81 7D 1C 4D 87 BD B8 2D 1F 1C """).splitlines() assert load_cryptrec_vectors(vector_data) == [ { "key": b"00000000000000000000000000000000", "plaintext": b"80000000000000000000000000000000", "ciphertext": b"07923A39EB0A817D1C4D87BDB82D1F1C", }, { "key": b"00000000000000000000000000000000", "plaintext": b"40000000000000000000000000000000", "ciphertext": b"48CD6419809672D2349260D89A08D3D3", }, { "key": b"10000000000000000000000000000000", "plaintext": b"80000000000000000000000000000000", "ciphertext": b"07923A39EB0A817D1C4D87BDB82D1F1C", }, ] def test_load_cryptrec_vectors_invalid(): vector_data = textwrap.dedent(""" # Vectors taken from http://info.isl.ntt.co.jp/crypt/eng/camellia/ # Download is t_camelia.txt # Camellia with 128-bit key E No.001 : 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 00 """).splitlines() with pytest.raises(ValueError): load_cryptrec_vectors(vector_data) def test_load_hash_vectors(): vector_data = textwrap.dedent(""" # http://tools.ietf.org/html/rfc1321 [irrelevant] Len = 0 Msg = 00 MD = d41d8cd98f00b204e9800998ecf8427e Len = 8 Msg = 61 MD = 0cc175b9c0f1b6a831c399e269772661 Len = 24 Msg = 616263 MD = 900150983cd24fb0d6963f7d28e17f72 Len = 112 Msg = 6d65737361676520646967657374 MD = f96b697d7cb7938d525a2f31aaf161d0 """).splitlines() assert load_hash_vectors(vector_data) == [ (b"", "d41d8cd98f00b204e9800998ecf8427e"), (b"61", "0cc175b9c0f1b6a831c399e269772661"), (b"616263", "900150983cd24fb0d6963f7d28e17f72"), (b"6d65737361676520646967657374", "f96b697d7cb7938d525a2f31aaf161d0"), ] def test_load_hmac_vectors(): vector_data = textwrap.dedent(""" Len = 224 # "Jefe" Key = 4a656665 # "what do ya want for nothing?" Msg = 7768617420646f2079612077616e7420666f72206e6f7468696e673f MD = 750c783e6ab0b503eaa86e310a5db738 """).splitlines() assert load_hash_vectors(vector_data) == [ (b"7768617420646f2079612077616e7420666f72206e6f7468696e673f", "750c783e6ab0b503eaa86e310a5db738", b"4a656665"), ] def test_load_hash_vectors_bad_data(): vector_data = textwrap.dedent(""" # http://tools.ietf.org/html/rfc1321 Len = 0 Msg = 00 UNKNOWN=Hello World """).splitlines() with pytest.raises(ValueError): load_hash_vectors(vector_data) def test_load_vectors_from_file(): vectors = load_vectors_from_file( os.path.join("ciphers", "Blowfish", "bf-cfb.txt"), load_nist_vectors, ) assert vectors == [ { "key": b"0123456789ABCDEFF0E1D2C3B4A59687", "iv": b"FEDCBA9876543210", "plaintext": ( b"37363534333231204E6F77206973207468652074696D6520666F722000" ), "ciphertext": ( b"E73214A2822139CAF26ECF6D2EB9E76E3DA3DE04D1517200519D57A6C3" ), } ] def test_load_nist_gcm_vectors(): vector_data = textwrap.dedent(""" [Keylen = 128] [IVlen = 96] [PTlen = 0] [AADlen = 0] [Taglen = 128] Count = 0 Key = 11754cd72aec309bf52f7687212e8957 IV = 3c819d9a9bed087615030b65 PT = AAD = CT = Tag = 250327c674aaf477aef2675748cf6971 Count = 1 Key = 272f16edb81a7abbea887357a58c1917 IV = 794ec588176c703d3d2a7a07 PT = AAD = CT = Tag = b6e6f197168f5049aeda32dafbdaeb Count = 2 Key = a49a5e26a2f8cb63d05546c2a62f5343 IV = 907763b19b9b4ab6bd4f0281 CT = AAD = Tag = a2be08210d8c470a8df6e8fbd79ec5cf FAIL Count = 3 Key = 5c1155084cc0ede76b3bc22e9f7574ef IV = 9549e4ba69a61cad7856efc1 PT = d1448fa852b84408e2dad8381f363de7 AAD = e98e9d9c618e46fef32660976f854ee3 CT = f78b60ca125218493bea1c50a2e12ef4 Tag = d72da7f5c6cf0bca7242c71835809449 [Keylen = 128] [IVlen = 96] [PTlen = 0] [AADlen = 0] [Taglen = 120] Count = 0 Key = eac258e99c55e6ae8ef1da26640613d7 IV = 4e8df20faaf2c8eebe922902 CT = AAD = Tag = e39aeaebe86aa309a4d062d6274339 PT = Count = 1 Key = 3726cf02fcc6b8639a5497652c94350d IV = 55fef82cde693ce76efcc193 CT = AAD = Tag = 3d68111a81ed22d2ef5bccac4fc27f FAIL Count = 2 Key = f202299d5fd74f03b12d2119a6c4c038 IV = eec51e7958c3f20a1bb71815 CT = AAD = Tag = a81886b3fb26e51fca87b267e1e157 FAIL Count = 3 Key = fd52925f39546b4c55ffb6b20c59898c IV = f5cf3227444afd905a5f6dba CT = AAD = Tag = 1665b0f1a0b456e1664cfd3de08ccd PT = [Keylen = 128] [IVlen = 8] [PTlen = 104] [AADlen = 0] [Taglen = 128] Count = 0 Key = 58fab7632bcf10d2bcee58520bf37414 IV = 3c CT = 15c4db4cbb451211179d57017f AAD = Tag = eae841d4355feeb3f786bc86625f1e5b FAIL """).splitlines() assert load_nist_vectors(vector_data) == [ {'aad': b'', 'pt': b'', 'iv': b'3c819d9a9bed087615030b65', 'tag': b'250327c674aaf477aef2675748cf6971', 'key': b'11754cd72aec309bf52f7687212e8957', 'ct': b''}, {'aad': b'', 'pt': b'', 'iv': b'794ec588176c703d3d2a7a07', 'tag': b'b6e6f197168f5049aeda32dafbdaeb', 'key': b'272f16edb81a7abbea887357a58c1917', 'ct': b''}, {'aad': b'', 'iv': b'907763b19b9b4ab6bd4f0281', 'tag': b'a2be08210d8c470a8df6e8fbd79ec5cf', 'key': b'a49a5e26a2f8cb63d05546c2a62f5343', 'ct': b'', 'fail': True}, {'aad': b'e98e9d9c618e46fef32660976f854ee3', 'pt': b'd1448fa852b84408e2dad8381f363de7', 'iv': b'9549e4ba69a61cad7856efc1', 'tag': b'd72da7f5c6cf0bca7242c71835809449', 'key': b'5c1155084cc0ede76b3bc22e9f7574ef', 'ct': b'f78b60ca125218493bea1c50a2e12ef4'}, {'aad': b'', 'pt': b'', 'iv': b'4e8df20faaf2c8eebe922902', 'tag': b'e39aeaebe86aa309a4d062d6274339', 'key': b'eac258e99c55e6ae8ef1da26640613d7', 'ct': b''}, {'aad': b'', 'iv': b'55fef82cde693ce76efcc193', 'tag': b'3d68111a81ed22d2ef5bccac4fc27f', 'key': b'3726cf02fcc6b8639a5497652c94350d', 'ct': b'', 'fail': True}, {'aad': b'', 'iv': b'eec51e7958c3f20a1bb71815', 'tag': b'a81886b3fb26e51fca87b267e1e157', 'key': b'f202299d5fd74f03b12d2119a6c4c038', 'ct': b'', 'fail': True}, {'aad': b'', 'pt': b'', 'iv': b'f5cf3227444afd905a5f6dba', 'tag': b'1665b0f1a0b456e1664cfd3de08ccd', 'key': b'fd52925f39546b4c55ffb6b20c59898c', 'ct': b''}, {'aad': b'', 'iv': b'3c', 'tag': b'eae841d4355feeb3f786bc86625f1e5b', 'key': b'58fab7632bcf10d2bcee58520bf37414', 'ct': b'15c4db4cbb451211179d57017f', 'fail': True}, ] def test_load_pkcs1_vectors(): vector_data = textwrap.dedent(""" Test vectors for RSA-PSS ======================== This file contains an extract of the original pss-vect.txt Key lengths: Key 8: 1031 bits Key 9: 1536 bits =========================================================================== # Example 8: A 1031-bit RSA key pair # ----------------------------------- # Public key # ---------- # Modulus: 49 53 70 a1 fb 18 54 3c 16 d3 63 1e 31 63 25 5d f6 2b e6 ee e8 90 d5 f2 55 09 e4 f7 78 a8 ea 6f bb bc df 85 df f6 4e 0d 97 20 03 ab 36 81 fb ba 6d d4 1f d5 41 82 9b 2e 58 2d e9 f2 a4 a4 e0 a2 d0 90 0b ef 47 53 db 3c ee 0e e0 6c 7d fa e8 b1 d5 3b 59 53 21 8f 9c ce ea 69 5b 08 66 8e de aa dc ed 94 63 b1 d7 90 d5 eb f2 7e 91 15 b4 6c ad 4d 9a 2b 8e fa b0 56 1b 08 10 34 47 39 ad a0 73 3f # Exponent: 01 00 01 # Private key # ----------- # Modulus: 49 53 70 a1 fb 18 54 3c 16 d3 63 1e 31 63 25 5d f6 2b e6 ee e8 90 d5 f2 55 09 e4 f7 78 a8 ea 6f bb bc df 85 df f6 4e 0d 97 20 03 ab 36 81 fb ba 6d d4 1f d5 41 82 9b 2e 58 2d e9 f2 a4 a4 e0 a2 d0 90 0b ef 47 53 db 3c ee 0e e0 6c 7d fa e8 b1 d5 3b 59 53 21 8f 9c ce ea 69 5b 08 66 8e de aa dc ed 94 63 b1 d7 90 d5 eb f2 7e 91 15 b4 6c ad 4d 9a 2b 8e fa b0 56 1b 08 10 34 47 39 ad a0 73 3f # Public exponent: 01 00 01 # Exponent: 6c 66 ff e9 89 80 c3 8f cd ea b5 15 98 98 83 61 65 f4 b4 b8 17 c4 f6 a8 d4 86 ee 4e a9 13 0f e9 b9 09 2b d1 36 d1 84 f9 5f 50 4a 60 7e ac 56 58 46 d2 fd d6 59 7a 89 67 c7 39 6e f9 5a 6e ee bb 45 78 a6 43 96 6d ca 4d 8e e3 de 84 2d e6 32 79 c6 18 15 9c 1a b5 4a 89 43 7b 6a 61 20 e4 93 0a fb 52 a4 ba 6c ed 8a 49 47 ac 64 b3 0a 34 97 cb e7 01 c2 d6 26 6d 51 72 19 ad 0e c6 d3 47 db e9 # Prime 1: 08 da d7 f1 13 63 fa a6 23 d5 d6 d5 e8 a3 19 32 8d 82 19 0d 71 27 d2 84 6c 43 9b 0a b7 26 19 b0 a4 3a 95 32 0e 4e c3 4f c3 a9 ce a8 76 42 23 05 bd 76 c5 ba 7b e9 e2 f4 10 c8 06 06 45 a1 d2 9e db # Prime 2: 08 47 e7 32 37 6f c7 90 0f 89 8e a8 2e b2 b0 fc 41 85 65 fd ae 62 f7 d9 ec 4c e2 21 7b 97 99 0d d2 72 db 15 7f 99 f6 3c 0d cb b9 fb ac db d4 c4 da db 6d f6 77 56 35 8c a4 17 48 25 b4 8f 49 70 6d # Prime exponent 1: 05 c2 a8 3c 12 4b 36 21 a2 aa 57 ea 2c 3e fe 03 5e ff 45 60 f3 3d de bb 7a da b8 1f ce 69 a0 c8 c2 ed c1 65 20 dd a8 3d 59 a2 3b e8 67 96 3a c6 5f 2c c7 10 bb cf b9 6e e1 03 de b7 71 d1 05 fd 85 # Prime exponent 2: 04 ca e8 aa 0d 9f aa 16 5c 87 b6 82 ec 14 0b 8e d3 b5 0b 24 59 4b 7a 3b 2c 22 0b 36 69 bb 81 9f 98 4f 55 31 0a 1a e7 82 36 51 d4 a0 2e 99 44 79 72 59 51 39 36 34 34 e5 e3 0a 7e 7d 24 15 51 e1 b9 # Coefficient: 07 d3 e4 7b f6 86 60 0b 11 ac 28 3c e8 8d bb 3f 60 51 e8 ef d0 46 80 e4 4c 17 1e f5 31 b8 0b 2b 7c 39 fc 76 63 20 e2 cf 15 d8 d9 98 20 e9 6f f3 0d c6 96 91 83 9c 4b 40 d7 b0 6e 45 30 7d c9 1f 3f # RSA-PSS signing of 6 random messages with random salts # ------------------------------------------------------- # PSS Example 8.1 # ----------------- # Message to be signed: 81 33 2f 4b e6 29 48 41 5e a1 d8 99 79 2e ea cf 6c 6e 1d b1 da 8b e1 3b 5c ea 41 db 2f ed 46 70 92 e1 ff 39 89 14 c7 14 25 97 75 f5 95 f8 54 7f 73 56 92 a5 75 e6 92 3a f7 8f 22 c6 99 7d db 90 fb 6f 72 d7 bb 0d d5 74 4a 31 de cd 3d c3 68 58 49 83 6e d3 4a ec 59 63 04 ad 11 84 3c 4f 88 48 9f 20 97 35 f5 fb 7f da f7 ce c8 ad dc 58 18 16 8f 88 0a cb f4 90 d5 10 05 b7 a8 e8 4e 43 e5 42 87 97 75 71 dd 99 ee a4 b1 61 eb 2d f1 f5 10 8f 12 a4 14 2a 83 32 2e db 05 a7 54 87 a3 43 5c 9a 78 ce 53 ed 93 bc 55 08 57 d7 a9 fb # Salt: 1d 65 49 1d 79 c8 64 b3 73 00 9b e6 f6 f2 46 7b ac 4c 78 fa # Signature: 02 62 ac 25 4b fa 77 f3 c1 ac a2 2c 51 79 f8 f0 40 42 2b 3c 5b af d4 0a 8f 21 cf 0f a5 a6 67 cc d5 99 3d 42 db af b4 09 c5 20 e2 5f ce 2b 1e e1 e7 16 57 7f 1e fa 17 f3 da 28 05 2f 40 f0 41 9b 23 10 6d 78 45 aa f0 11 25 b6 98 e7 a4 df e9 2d 39 67 bb 00 c4 d0 d3 5b a3 55 2a b9 a8 b3 ee f0 7c 7f ec db c5 42 4a c4 db 1e 20 cb 37 d0 b2 74 47 69 94 0e a9 07 e1 7f bb ca 67 3b 20 52 23 80 c5 # PSS Example 8.2 # ----------------- # Message to be signed: e2 f9 6e af 0e 05 e7 ba 32 6e cc a0 ba 7f d2 f7 c0 23 56 f3 ce de 9d 0f aa bf 4f cc 8e 60 a9 73 e5 59 5f d9 ea 08 # Salt: 43 5c 09 8a a9 90 9e b2 37 7f 12 48 b0 91 b6 89 87 ff 18 38 # Signature: 27 07 b9 ad 51 15 c5 8c 94 e9 32 e8 ec 0a 28 0f 56 33 9e 44 a1 b5 8d 4d dc ff 2f 31 2e 5f 34 dc fe 39 e8 9c 6a 94 dc ee 86 db bd ae 5b 79 ba 4e 08 19 a9 e7 bf d9 d9 82 e7 ee 6c 86 ee 68 39 6e 8b 3a 14 c9 c8 f3 4b 17 8e b7 41 f9 d3 f1 21 10 9b f5 c8 17 2f ad a2 e7 68 f9 ea 14 33 03 2c 00 4a 8a a0 7e b9 90 00 0a 48 dc 94 c8 ba c8 aa be 2b 09 b1 aa 46 c0 a2 aa 0e 12 f6 3f bb a7 75 ba 7e # # ============================================= # Example 9: A 1536-bit RSA key pair # ----------------------------------- # Public key # ---------- # Modulus: e6 bd 69 2a c9 66 45 79 04 03 fd d0 f5 be b8 b9 bf 92 ed 10 00 7f c3 65 04 64 19 dd 06 c0 5c 5b 5b 2f 48 ec f9 89 e4 ce 26 91 09 97 9c bb 40 b4 a0 ad 24 d2 24 83 d1 ee 31 5a d4 cc b1 53 42 68 35 26 91 c5 24 f6 dd 8e 6c 29 d2 24 cf 24 69 73 ae c8 6c 5b f6 b1 40 1a 85 0d 1b 9a d1 bb 8c bc ec 47 b0 6f 0f 8c 7f 45 d3 fc 8f 31 92 99 c5 43 3d db c2 b3 05 3b 47 de d2 ec d4 a4 ca ef d6 14 83 3d c8 bb 62 2f 31 7e d0 76 b8 05 7f e8 de 3f 84 48 0a d5 e8 3e 4a 61 90 4a 4f 24 8f b3 97 02 73 57 e1 d3 0e 46 31 39 81 5c 6f d4 fd 5a c5 b8 17 2a 45 23 0e cb 63 18 a0 4f 14 55 d8 4e 5a 8b # Exponent: 01 00 01 # Private key # ----------- # Modulus: e6 bd 69 2a c9 66 45 79 04 03 fd d0 f5 be b8 b9 bf 92 ed 10 00 7f c3 65 04 64 19 dd 06 c0 5c 5b 5b 2f 48 ec f9 89 e4 ce 26 91 09 97 9c bb 40 b4 a0 ad 24 d2 24 83 d1 ee 31 5a d4 cc b1 53 42 68 35 26 91 c5 24 f6 dd 8e 6c 29 d2 24 cf 24 69 73 ae c8 6c 5b f6 b1 40 1a 85 0d 1b 9a d1 bb 8c bc ec 47 b0 6f 0f 8c 7f 45 d3 fc 8f 31 92 99 c5 43 3d db c2 b3 05 3b 47 de d2 ec d4 a4 ca ef d6 14 83 3d c8 bb 62 2f 31 7e d0 76 b8 05 7f e8 de 3f 84 48 0a d5 e8 3e 4a 61 90 4a 4f 24 8f b3 97 02 73 57 e1 d3 0e 46 31 39 81 5c 6f d4 fd 5a c5 b8 17 2a 45 23 0e cb 63 18 a0 4f 14 55 d8 4e 5a 8b # Public exponent: 01 00 01 # Exponent: 6a 7f d8 4f b8 5f ad 07 3b 34 40 6d b7 4f 8d 61 a6 ab c1 21 96 a9 61 dd 79 56 5e 9d a6 e5 18 7b ce 2d 98 02 50 f7 35 95 75 35 92 70 d9 15 90 bb 0e 42 7c 71 46 0b 55 d5 14 10 b1 91 bc f3 09 fe a1 31 a9 2c 8e 70 27 38 fa 71 9f 1e 00 41 f5 2e 40 e9 1f 22 9f 4d 96 a1 e6 f1 72 e1 55 96 b4 51 0a 6d ae c2 61 05 f2 be bc 53 31 6b 87 bd f2 13 11 66 60 70 e8 df ee 69 d5 2c 71 a9 76 ca ae 79 c7 2b 68 d2 85 80 dc 68 6d 9f 51 29 d2 25 f8 2b 3d 61 55 13 a8 82 b3 db 91 41 6b 48 ce 08 88 82 13 e3 7e eb 9a f8 00 d8 1c ab 32 8c e4 20 68 99 03 c0 0c 7b 5f d3 1b 75 50 3a 6d 41 96 84 d6 29 # Prime 1: f8 eb 97 e9 8d f1 26 64 ee fd b7 61 59 6a 69 dd cd 0e 76 da ec e6 ed 4b f5 a1 b5 0a c0 86 f7 92 8a 4d 2f 87 26 a7 7e 51 5b 74 da 41 98 8f 22 0b 1c c8 7a a1 fc 81 0c e9 9a 82 f2 d1 ce 82 1e dc ed 79 4c 69 41 f4 2c 7a 1a 0b 8c 4d 28 c7 5e c6 0b 65 22 79 f6 15 4a 76 2a ed 16 5d 47 de e3 67 # Prime 2: ed 4d 71 d0 a6 e2 4b 93 c2 e5 f6 b4 bb e0 5f 5f b0 af a0 42 d2 04 fe 33 78 d3 65 c2 f2 88 b6 a8 da d7 ef e4 5d 15 3e ef 40 ca cc 7b 81 ff 93 40 02 d1 08 99 4b 94 a5 e4 72 8c d9 c9 63 37 5a e4 99 65 bd a5 5c bf 0e fe d8 d6 55 3b 40 27 f2 d8 62 08 a6 e6 b4 89 c1 76 12 80 92 d6 29 e4 9d 3d # Prime exponent 1: 2b b6 8b dd fb 0c 4f 56 c8 55 8b ff af 89 2d 80 43 03 78 41 e7 fa 81 cf a6 1a 38 c5 e3 9b 90 1c 8e e7 11 22 a5 da 22 27 bd 6c de eb 48 14 52 c1 2a d3 d6 1d 5e 4f 77 6a 0a b5 56 59 1b ef e3 e5 9e 5a 7f dd b8 34 5e 1f 2f 35 b9 f4 ce e5 7c 32 41 4c 08 6a ec 99 3e 93 53 e4 80 d9 ee c6 28 9f # Prime exponent 2: 4f f8 97 70 9f ad 07 97 46 49 45 78 e7 0f d8 54 61 30 ee ab 56 27 c4 9b 08 0f 05 ee 4a d9 f3 e4 b7 cb a9 d6 a5 df f1 13 a4 1c 34 09 33 68 33 f1 90 81 6d 8a 6b c4 2e 9b ec 56 b7 56 7d 0f 3c 9c 69 6d b6 19 b2 45 d9 01 dd 85 6d b7 c8 09 2e 77 e9 a1 cc cd 56 ee 4d ba 42 c5 fd b6 1a ec 26 69 # Coefficient: 77 b9 d1 13 7b 50 40 4a 98 27 29 31 6e fa fc 7d fe 66 d3 4e 5a 18 26 00 d5 f3 0a 0a 85 12 05 1c 56 0d 08 1d 4d 0a 18 35 ec 3d 25 a6 0f 4e 4d 6a a9 48 b2 bf 3d bb 5b 12 4c bb c3 48 92 55 a3 a9 48 37 2f 69 78 49 67 45 f9 43 e1 db 4f 18 38 2c ea a5 05 df c6 57 57 bb 3f 85 7a 58 dc e5 21 56 # PKCS#1 v1.5 Signature Example 2.17 # ----------------- # Message to be signed: 06 ad d7 5a b6 89 de 06 77 44 e6 9a 2e bd 4b 90 fa 93 83 00 3c d0 5f f5 36 cb f2 94 cd 21 5f 09 23 b7 fc 90 04 f0 aa 18 52 71 a1 d0 06 1f d0 e9 77 7a d1 ec 0c 71 59 1f 57 8b f7 b8 e5 a1 # Signature: 45 14 21 0e 54 1d 5b ad 7d d6 0a e5 49 b9 43 ac c4 4f 21 39 0d f5 b6 13 18 45 5a 17 61 0d f5 b7 4d 84 ae d2 32 f1 7e 59 d9 1d d2 65 99 22 f8 12 db d4 96 81 69 03 84 b9 54 e9 ad fb 9b 1a 96 8c 0c bf f7 63 ec ee d6 27 50 c5 91 64 b5 e0 80 a8 fe f3 d5 5b fe 2a cf ad 27 52 a6 a8 45 9f a1 fa b4 9a d3 78 c6 96 4b 23 ee 97 fd 10 34 61 0c 5c c1 4c 61 e0 eb fb 17 11 f8 ad e9 6f e6 55 7b 38 # # ============================================= # """).splitlines() vectors = tuple(load_pkcs1_vectors(vector_data)) expected = ( ( { 'modulus': int( '495370a1fb18543c16d3631e3163255df62be6eee890d5f25509e4f77' '8a8ea6fbbbcdf85dff64e0d972003ab3681fbba6dd41fd541829b2e58' '2de9f2a4a4e0a2d0900bef4753db3cee0ee06c7dfae8b1d53b5953218' 'f9cceea695b08668edeaadced9463b1d790d5ebf27e9115b46cad4d9a' '2b8efab0561b0810344739ada0733f', 16), 'public_exponent': int('10001', 16), 'private_exponent': int( '6c66ffe98980c38fcdeab5159898836165f4b4b817c4f6a8d486ee4ea' '9130fe9b9092bd136d184f95f504a607eac565846d2fdd6597a8967c7' '396ef95a6eeebb4578a643966dca4d8ee3de842de63279c618159c1ab' '54a89437b6a6120e4930afb52a4ba6ced8a4947ac64b30a3497cbe701' 'c2d6266d517219ad0ec6d347dbe9', 16), 'p': int( '8dad7f11363faa623d5d6d5e8a319328d82190d7127d2846c439b0ab7' '2619b0a43a95320e4ec34fc3a9cea876422305bd76c5ba7be9e2f410c' '8060645a1d29edb', 16), 'q': int( '847e732376fc7900f898ea82eb2b0fc418565fdae62f7d9ec4ce2217b' '97990dd272db157f99f63c0dcbb9fbacdbd4c4dadb6df67756358ca41' '74825b48f49706d', 16), 'dmp1': int( '05c2a83c124b3621a2aa57ea2c3efe035eff4560f33ddebb7adab81fc' 'e69a0c8c2edc16520dda83d59a23be867963ac65f2cc710bbcfb96ee1' '03deb771d105fd85', 16), 'dmq1': int( '04cae8aa0d9faa165c87b682ec140b8ed3b50b24594b7a3b2c220b366' '9bb819f984f55310a1ae7823651d4a02e99447972595139363434e5e3' '0a7e7d241551e1b9', 16), 'iqmp': int( '07d3e47bf686600b11ac283ce88dbb3f6051e8efd04680e44c171ef53' '1b80b2b7c39fc766320e2cf15d8d99820e96ff30dc69691839c4b40d7' 'b06e45307dc91f3f', 16), 'examples': [ { 'message': b'81332f4be62948415ea1d899792eeacf6c6e1db1d' b'a8be13b5cea41db2fed467092e1ff398914c71425' b'9775f595f8547f735692a575e6923af78f22c6997' b'ddb90fb6f72d7bb0dd5744a31decd3dc368584983' b'6ed34aec596304ad11843c4f88489f209735f5fb7' b'fdaf7cec8addc5818168f880acbf490d51005b7a8' b'e84e43e54287977571dd99eea4b161eb2df1f5108' b'f12a4142a83322edb05a75487a3435c9a78ce53ed' b'93bc550857d7a9fb', 'salt': b'1d65491d79c864b373009be6f6f2467bac4c78fa', 'signature': b'0262ac254bfa77f3c1aca22c5179f8f040422b3' b'c5bafd40a8f21cf0fa5a667ccd5993d42dbafb4' b'09c520e25fce2b1ee1e716577f1efa17f3da280' b'52f40f0419b23106d7845aaf01125b698e7a4df' b'e92d3967bb00c4d0d35ba3552ab9a8b3eef07c7' b'fecdbc5424ac4db1e20cb37d0b2744769940ea9' b'07e17fbbca673b20522380c5' }, { 'message': b'e2f96eaf0e05e7ba326ecca0ba7fd2f7c02356f3c' b'ede9d0faabf4fcc8e60a973e5595fd9ea08', 'salt': b'435c098aa9909eb2377f1248b091b68987ff1838', 'signature': b'2707b9ad5115c58c94e932e8ec0a280f56339e4' b'4a1b58d4ddcff2f312e5f34dcfe39e89c6a94dc' b'ee86dbbdae5b79ba4e0819a9e7bfd9d982e7ee6' b'c86ee68396e8b3a14c9c8f34b178eb741f9d3f1' b'21109bf5c8172fada2e768f9ea1433032c004a8' b'aa07eb990000a48dc94c8bac8aabe2b09b1aa46' b'c0a2aa0e12f63fbba775ba7e' } ] }, { 'modulus': int( '495370a1fb18543c16d3631e3163255df62be6eee890d5f25509e4f77' '8a8ea6fbbbcdf85dff64e0d972003ab3681fbba6dd41fd541829b2e58' '2de9f2a4a4e0a2d0900bef4753db3cee0ee06c7dfae8b1d53b5953218' 'f9cceea695b08668edeaadced9463b1d790d5ebf27e9115b46cad4d9a' '2b8efab0561b0810344739ada0733f', 16), 'public_exponent': int('10001', 16) } ), ( { 'modulus': int( 'e6bd692ac96645790403fdd0f5beb8b9bf92ed10007fc365046419dd0' '6c05c5b5b2f48ecf989e4ce269109979cbb40b4a0ad24d22483d1ee31' '5ad4ccb1534268352691c524f6dd8e6c29d224cf246973aec86c5bf6b' '1401a850d1b9ad1bb8cbcec47b06f0f8c7f45d3fc8f319299c5433ddb' 'c2b3053b47ded2ecd4a4caefd614833dc8bb622f317ed076b8057fe8d' 'e3f84480ad5e83e4a61904a4f248fb397027357e1d30e463139815c6f' 'd4fd5ac5b8172a45230ecb6318a04f1455d84e5a8b', 16), 'public_exponent': int('10001', 16), 'private_exponent': int( '6a7fd84fb85fad073b34406db74f8d61a6abc12196a961dd79565e9da' '6e5187bce2d980250f7359575359270d91590bb0e427c71460b55d514' '10b191bcf309fea131a92c8e702738fa719f1e0041f52e40e91f229f4' 'd96a1e6f172e15596b4510a6daec26105f2bebc53316b87bdf2131166' '6070e8dfee69d52c71a976caae79c72b68d28580dc686d9f5129d225f' '82b3d615513a882b3db91416b48ce08888213e37eeb9af800d81cab32' '8ce420689903c00c7b5fd31b75503a6d419684d629', 16), 'p': int( 'f8eb97e98df12664eefdb761596a69ddcd0e76daece6ed4bf5a1b50ac' '086f7928a4d2f8726a77e515b74da41988f220b1cc87aa1fc810ce99a' '82f2d1ce821edced794c6941f42c7a1a0b8c4d28c75ec60b652279f61' '54a762aed165d47dee367', 16), 'q': int( 'ed4d71d0a6e24b93c2e5f6b4bbe05f5fb0afa042d204fe3378d365c2f' '288b6a8dad7efe45d153eef40cacc7b81ff934002d108994b94a5e472' '8cd9c963375ae49965bda55cbf0efed8d6553b4027f2d86208a6e6b48' '9c176128092d629e49d3d', 16), 'dmp1': int( '2bb68bddfb0c4f56c8558bffaf892d8043037841e7fa81cfa61a38c5e' '39b901c8ee71122a5da2227bd6cdeeb481452c12ad3d61d5e4f776a0a' 'b556591befe3e59e5a7fddb8345e1f2f35b9f4cee57c32414c086aec9' '93e9353e480d9eec6289f', 16), 'dmq1': int( '4ff897709fad079746494578e70fd8546130eeab5627c49b080f05ee4' 'ad9f3e4b7cba9d6a5dff113a41c3409336833f190816d8a6bc42e9bec' '56b7567d0f3c9c696db619b245d901dd856db7c8092e77e9a1cccd56e' 'e4dba42c5fdb61aec2669', 16), 'iqmp': int( '77b9d1137b50404a982729316efafc7dfe66d34e5a182600d5f30a0a8' '512051c560d081d4d0a1835ec3d25a60f4e4d6aa948b2bf3dbb5b124c' 'bbc3489255a3a948372f6978496745f943e1db4f18382ceaa505dfc65' '757bb3f857a58dce52156', 16), 'examples': [ { 'message': b'06add75ab689de067744e69a2ebd4b90fa9383003' b'cd05ff536cbf294cd215f0923b7fc9004f0aa1852' b'71a1d0061fd0e9777ad1ec0c71591f578bf7b8e5a' b'1', 'signature': b'4514210e541d5bad7dd60ae549b943acc44f213' b'90df5b61318455a17610df5b74d84aed232f17e' b'59d91dd2659922f812dbd49681690384b954e9a' b'dfb9b1a968c0cbff763eceed62750c59164b5e0' b'80a8fef3d55bfe2acfad2752a6a8459fa1fab49' b'ad378c6964b23ee97fd1034610c5cc14c61e0eb' b'fb1711f8ade96fe6557b38' } ] }, { 'modulus': int( 'e6bd692ac96645790403fdd0f5beb8b9bf92ed10007fc365046419dd0' '6c05c5b5b2f48ecf989e4ce269109979cbb40b4a0ad24d22483d1ee31' '5ad4ccb1534268352691c524f6dd8e6c29d224cf246973aec86c5bf6b' '1401a850d1b9ad1bb8cbcec47b06f0f8c7f45d3fc8f319299c5433ddb' 'c2b3053b47ded2ecd4a4caefd614833dc8bb622f317ed076b8057fe8d' 'e3f84480ad5e83e4a61904a4f248fb397027357e1d30e463139815c6f' 'd4fd5ac5b8172a45230ecb6318a04f1455d84e5a8b', 16), 'public_exponent': int('10001', 16) } ) ) assert vectors == expected def test_load_hotp_vectors(): vector_data = textwrap.dedent(""" # HOTP Test Vectors # RFC 4226 Appendix D COUNT = 0 COUNTER = 0 INTERMEDIATE = cc93cf18508d94934c64b65d8ba7667fb7cde4b0 TRUNCATED = 4c93cf18 HOTP = 755224 SECRET = 12345678901234567890 COUNT = 1 COUNTER = 1 INTERMEDIATE = 75a48a19d4cbe100644e8ac1397eea747a2d33ab TRUNCATED = 41397eea HOTP = 287082 SECRET = 12345678901234567890 COUNT = 2 COUNTER = 2 INTERMEDIATE = 0bacb7fa082fef30782211938bc1c5e70416ff44 TRUNCATED = 82fef30 HOTP = 359152 SECRET = 12345678901234567890 COUNT = 3 COUNTER = 3 INTERMEDIATE = 66c28227d03a2d5529262ff016a1e6ef76557ece TRUNCATED = 66ef7655 HOTP = 969429 SECRET = 12345678901234567890 """).splitlines() assert load_nist_vectors(vector_data) == [ { "counter": b"0", "intermediate": b"cc93cf18508d94934c64b65d8ba7667fb7cde4b0", "truncated": b"4c93cf18", "hotp": b"755224", "secret": b"12345678901234567890", }, { "counter": b"1", "intermediate": b"75a48a19d4cbe100644e8ac1397eea747a2d33ab", "truncated": b"41397eea", "hotp": b"287082", "secret": b"12345678901234567890", }, { "counter": b"2", "intermediate": b"0bacb7fa082fef30782211938bc1c5e70416ff44", "truncated": b"82fef30", "hotp": b"359152", "secret": b"12345678901234567890", }, { "counter": b"3", "intermediate": b"66c28227d03a2d5529262ff016a1e6ef76557ece", "truncated": b"66ef7655", "hotp": b"969429", "secret": b"12345678901234567890", }, ] def test_load_totp_vectors(): vector_data = textwrap.dedent(""" # TOTP Test Vectors # RFC 6238 Appendix B COUNT = 0 TIME = 59 TOTP = 94287082 MODE = SHA1 SECRET = 12345678901234567890 COUNT = 1 TIME = 59 TOTP = 46119246 MODE = SHA256 SECRET = 12345678901234567890 COUNT = 2 TIME = 59 TOTP = 90693936 MODE = SHA512 SECRET = 12345678901234567890 """).splitlines() assert load_nist_vectors(vector_data) == [ { "time": b"59", "totp": b"94287082", "mode": b"SHA1", "secret": b"12345678901234567890", }, { "time": b"59", "totp": b"46119246", "mode": b"SHA256", "secret": b"12345678901234567890", }, { "time": b"59", "totp": b"90693936", "mode": b"SHA512", "secret": b"12345678901234567890", }, ] def test_load_rsa_nist_vectors(): vector_data = textwrap.dedent(""" # SHA Algorithm selected:SHA1 SHA224 SHA256 SHA384 SHA512 # Salt len: 20 [mod = 1024] n = bcb47b2e0dafcba81ff2a2b5cb115ca7e757184c9d72bcdcda707a146b3b4e29989d e = 00000000000000000000000000000000000000000000000000000000000000000010001 SHAAlg = SHA1 Msg = 1248f62a4389f42f7b4bb131053d6c88a994db2075b912ccbe3ea7dc611714f14e S = 682cf53c1145d22a50caa9eb1a9ba70670c5915e0fdfde6457a765de2a8fe12de97 SHAAlg = SHA384 Msg = e511903c2f1bfba245467295ac95413ac4746c984c3750a728c388aa628b0ebf S = 9c748702bbcc1f9468864cd360c8c39d007b2d8aaee833606c70f7593cf0d1519 [mod = 1024] n = 1234567890 e = 0010001 SHAAlg = SHA512 Msg = 3456781293fab829 S = deadbeef0000 """).splitlines() vectors = load_rsa_nist_vectors(vector_data) assert vectors == [ { "modulus": int("bcb47b2e0dafcba81ff2a2b5cb115ca7e757184c9d72bcdcda" "707a146b3b4e29989d", 16), "public_exponent": 65537, "algorithm": b"SHA1", "salt_length": 20, "msg": b"1248f62a4389f42f7b4bb131053d6c88a994db2075b912ccbe3ea7dc6" b"11714f14e", "s": b"682cf53c1145d22a50caa9eb1a9ba70670c5915e0fdfde6457a765de2a8" b"fe12de97" }, { "modulus": int("bcb47b2e0dafcba81ff2a2b5cb115ca7e757184c9d72bcdcda" "707a146b3b4e29989d", 16), "public_exponent": 65537, "algorithm": b"SHA384", "salt_length": 20, "msg": b"e511903c2f1bfba245467295ac95413ac4746c984c3750a728c388aa6" b"28b0ebf", "s": b"9c748702bbcc1f9468864cd360c8c39d007b2d8aaee833606c70f7593cf" b"0d1519" }, { "modulus": 78187493520, "public_exponent": 65537, "algorithm": b"SHA512", "salt_length": 20, "msg": b"3456781293fab829", "s": b"deadbeef0000" }, ] def test_load_fips_dsa_key_pair_vectors(): vector_data = textwrap.dedent(""" # CAVS 11.1 # "KeyPair" information # Mod sizes selected: L=1024, N=160:: L=2048, N=224 :: L=2048, N=256 :: L =3072, N=256 # Generated on Wed May 04 08:50:52 2011 [mod = L=1024, N=160] P = d38311e2cd388c3ed698e82fdf88eb92b5a9a483dc88005d4b725ef341eabb47cf8a7a\ 8a41e792a156b7ce97206c4f9c5ce6fc5ae7912102b6b502e59050b5b21ce263dddb2044b65223\ 6f4d42ab4b5d6aa73189cef1ace778d7845a5c1c1c7147123188f8dc551054ee162b634d60f097\ f719076640e20980a0093113a8bd73 Q = 96c5390a8b612c0e422bb2b0ea194a3ec935a281 G = 06b7861abbd35cc89e79c52f68d20875389b127361ca66822138ce4991d2b862259d6b\ 4548a6495b195aa0e0b6137ca37eb23b94074d3c3d300042bdf15762812b6333ef7b07ceba7860\ 7610fcc9ee68491dbc1e34cd12615474e52b18bc934fb00c61d39e7da8902291c4434a4e2224c3\ f4fd9f93cd6f4f17fc076341a7e7d9 X = 8185fee9cc7c0e91fd85503274f1cd5a3fd15a49 Y = 6f26d98d41de7d871b6381851c9d91fa03942092ab6097e76422070edb71db44ff5682\ 80fdb1709f8fc3feab39f1f824adaeb2a298088156ac31af1aa04bf54f475bdcfdcf2f8a2dd973\ e922d83e76f016558617603129b21c70bf7d0e5dc9e68fe332e295b65876eb9a12fe6fca9f1a1c\ e80204646bf99b5771d249a6fea627 X = 85322d6ea73083064376099ca2f65f56e8522d9b Y = 21f8690f717c9f4dcb8f4b6971de2f15b9231fcf41b7eeb997d781f240bfdddfd2090d\ 22083c26cca39bf37c9caf1ec89518ea64845a50d747b49131ffff6a2fd11ea7bacbb93c7d0513\ 7383a06365af82225dd3713ca5a45006316f53bd12b0e260d5f79795e5a4c9f353f12867a1d320\ 2394673ada8563b71555e53f415254 X = 8007aace9226517add3b31fb72fe57cf0b71de87 Y = 0869599e9c233f98719353f50431b8cf9219443b245ccca95fcf81d757288b27b4ee08\ 037f0a8ee5d997eecf7ddf1cae641fa0b24bb0e0fb97765166d92a79b1519cb9549431947ff58e\ de390c8fe2c44ff1fe9f8b15839d93cfd727dd0c2698ccf04f85f491d59a4e7fbf873122228af5\ c27095eea09d7d13b0d585c79c4849 X = 2f08cf0627c8ffbde07420c324e594170da5879e Y = 1f9098ddb4ec6f7a14841ae87792450292f210fb5a7a908117731b3c5f3d1694331a85\ a129b0b6b5363e61544c351799ef1fd9fdae6f7707b1ef55933192b03cc41a773d1e2c119fe592\ 05ce8f8c47f27ef0620c6892c61bb04907e00e6b82c81e1b77bb4e3f87562327555a226217aaaa\ 4e1d29bac7cc8cbebceee3895d8917 X = 423616c18872f9a3ae1db1f70302ae8decff0be9 Y = b62df8a3635c8f5acdc92d710d920a643eb93010d003e6e61eee57d6a80ca5512bc1a0\ b689dd256a2ff1dcac4adb099ef66317de9c6b5188627c1f0aec54049d0bf1c8214c492d09ce82\ 43af9508c49493ea8d6f85d141850ebdabf6cbfeced92c1cc0b844227eedfc03e8650f89c2b6d1\ 1462d8cc5b78254574bbe558f2e724 X = 4c4489ee5a17f30eec191644ae28105aafb82307 Y = 37fe0fdb5adec7bd56cdd68b1fc5669c292ae0c0c7c339aab844b7b83bc0118056274a\ 1f2b2bd4d4c8973458e86bddff94a6adb9b28d9a1f3ff0bc82972e3c8e452756ab7f921750f773\ d75c58346096ce2b804c57f2dee415471013d9a31d347960c42e5748d0feda02bdf0b22902103d\ e1591d9b5dcdfb18575d8c164031d1 X = 4ea539bf524cacbbf850ea20e18659db13c14cc1 Y = 7d4b1d55c3cba4f1d7073afda9faed928d7653eac594ef2c84a7c83a77817e186a4706\ b4dae53f67fe7fc97e5915babda7398aec5a8afa302de1af67e709d6cc5cab6d19af8350273468\ 75758cedb5552494a85e8b2292f69cd2d665fc3375180f30110f5f9f03472ce431a64db795bce0\ 7b0d42bb0d22dc94182dd43c2dabe3 X = 272b5be463d69c564fb82e54b8824fd5622fd819 Y = d133f99a7d8c5168f58a1f8be91e40d98446336533517289d40f0f6c974bbc3abd32de\ 81b92ab4c0d164b44271a884992d93104cca9e85acdec20717492e7cddd24f99146e59c16877cf\ 4a2f4fca669528b0e4a42b2154c09b4a15ac74d1aed9ca141b7fd6b8eeb5f315a88dfade013539\ f3ca61628411e89f0e6553ed18c03e X = 49df2e11a4cab60b3d8f53a02bc8d982a52035e6 Y = 555b359dd7998b8020f04f84f7e4ee3e7d7d2352d95b6d5bc51b96a2132bc1ac779652\ ccfbfb5b102edb3861aa98d4feba59f65bd0501755c5d0d894b031841365f2f4e9749b5850542d\ be82a3b5d614d93f34692087507d2972acdab700892bb847cb4e881998342b7230aef923a07b07\ 563efbc053a300c0ea284d7f381da2 X = 06f5fe27b77fbdb24beb34f4fe13203e46ad8460 Y = 881344b829c31389b4882c2fde977d73adb72e5001f41b57c7726b9ac99ef413d0fb5d\ f9ed587994c45580efa11d4445cea85b149e74f746308ee223c82263b14f4a2ec5ae971083dca7\ 25c5fb0ae233b67a4be60be8aca3f40c5bfaf9d9c4dc40d49dec1c4e539c88cddfce40106cb6f8\ 8fd094037fae75de54317ad4842cc1 [mod = L=2048, N=224] P = 904ef8e31e14721910fa0969e77c99b79f190071a86026e37a887a6053960dbfb74390\ a6641319fe0af32c4e982934b0f1f4c5bc57534e8e56d77c36f0a99080c0d5bc9022fa34f58922\ 81d7b1009571cb5b35699303f912b276d86b1b0722fc0b1500f0ffb2e4d90867a3bdca181a9734\ 617a8a9f991aa7c14dec1cf45ceba00600f8425440ed0c3b52c82e3aa831932a98b477da220867\ eb2d5e0ca34580b33b1b65e558411ed09c369f4717bf03b551787e13d9e47c267c91c697225265\ da157945cd8b32e84fc45b80533265239aa00a2dd3d05f5cb231b7daf724b7ecdce170360a8397\ 2e5be94626273d449f441be300a7345db387bebadad67d8060a7 Q = d7d0a83e84d13032b830ed74a6a88592ec9a4cf42bf37080c6600aad G = 2050b18d3c9f39fac396c009310d6616f9309b67b59aef9aee813d6b4f12ee29ba8a6b\ 350b11d4336d44b4641230002d870f1e6b1d8728bdd40262df0d2440999185ae077f7034c61679\ f4360fbb5d181569e7cb8acb04371c11ba55f1bbd777b74304b99b66d4405303e7120dc8bc4785\ f56e9533e65b63a0c77cce7bba0d5d6069df5edffa927c5a255a09405a008258ed93506a843366\ 2154f6f67e922d7c9788f04d4ec09581063950d9cde8e373ea59a58b2a6df6ba8663345574fabb\ a9ca981696d83aeac1f34f14f1a813ba900b3f0341dea23f7d3297f919a97e1ae00ac0728c93fe\ 0a88b66591baf4eb0bc6900f39ba5feb41cbbeea7eb7919aa4d3 X = 3f19424da3b4f0cafca3fc5019fcd225dd7e496ffdf6b77e364f45be Y = 7681ed0ac257ab7ff17c52de4638c0614749792707a0c0d23883697e34963df15c806f\ a6206f7fafb3269018e7703bd1e6f518d13544331a017713dbbe0cee8da6c095271fbf24edb74a\ 44e18b1d3b835622f68d31921c67c83e8479d1972ed0cb106c68188fe22c044254251ebf880b90\ 49dc3b7958ef61e1e67d2f677d2a7d2ab6b7c42b70cc5dedc3e5de7459a2dbc70c69008553d7ff\ b6bf81c012c8bd67bdddeaab9a4a4373027912a7c7d9cd9cfc6c81dffe0cc7a6d40c3b2065aee7\ be80e3c35497d64c8045bc511edaf7314c84c56bd9f0fecf62262ea5b45b49a0cffb223713bdbd\ 3ad03a25a0bb2211eba41ffcd08ab0e1ad485c29a3fc25ee8359 X = 241396352dd26efe0e2e184da52fe2b61d9d51b91b5009674c447854 Y = 2f07a3aa9884c65288e5fef56c7b7f4445632273290bae6fcaab87c90058b2bef81ad3\ 34958657cf649ffb976d618b34ce69ef6d68c0d8bfe275cf097a301e8dd5595958e0c668c15f67\ b5c0b0d01983057ce61593635aab5e0564ed720b0336f055a86755c76be22df3b8487f16e2ba0b\ 5136fd30d7e3b1d30c3bd298d3acc0a1988a11756c94e9a53184d0d3edfbb649caf03eace3083d\ e9933921e627f4b2e011d1c79e45d8ea1eb7e4e59a1cbd8382b3238474eb949749c985200fbb25\ 41e2dce080aa881945d4d935076e48a0846dc5513bb4da8563b946af54f546455931e79c065ce7\ ca223a98f8fde40091d38eb2c3eb8e3b81d88374f3146b0afc42 X = 6597601e43fd515925142b0a74933737e59c3cd2aa80a794e10a389e Y = 04d040606f0f62d332a4fff2800200ae6c18baf01d3f6d1e9474fffb267e0388532420\ 21e3e2747345da8bb87c723cc1c9c446152b47b76044de0521a253d9f50b38f310bd3f5503d92e\ f78ba34c09988982ab8b8eabde78210cbaa68d18cf06b8fee156ffef4f85ce06af4e0515c77eba\ d16b7651273551d82732196cd7b180f747b2f9fa33ff198981ad095145207a726cac95117b2d02\ 800e4d0bba1618dd2615393ecdd35c4ac45ac522ea3a6178691a51c3d83c352dfc762c22967560\ 5851ecfc14af915f220632f74b2f3f285c8ec3ef5df1df2e330f24a4e45e121455813ed7671c63\ c7efa5eb67a4387386e2d62b4c0006643526333185b341bdaf74 X = 0864c128bd440c2ae2c75818c3dd8638864c8986805229a8888b1fdd Y = 092501d654b604f0b8a1d979c43412ca43328b5bd5894b1f9c473b17892b02d01ef8ac\ 61fd4c677e132417e57a0425042097037041a0cc76969bf3fc793cb58148bbbd2e46cd53a617cf\ 57d514310d78c1aac2d45f70cf99185edee78416ef9f7e871c0454a78904a43eab19a62042038d\ a01d3e20cc564900ee917d2ba0aaf1797fcad1dff72d5b0dfd7a6a4818b352152c97d93a819237\ d8176b178aaa043be6809a92a7a529fc76e76df9083db8322b2140f84e507975bd7c11bc9d8f84\ d09e4756b60bdbd1d00d7761e45ce20c790fcc89ce9c611173750ccafc65e71c6be7bf04f8dcfc\ 1023aa6595df397906b968045abcf8d04ac7a8892ac660ed864b X = 7b77e817e3cefa4534e7c64c6100acee0141af243a9da541727245ba Y = 302449ac7f32830c5ba247ed84c7164d9e868cbd93bd00bbd51afa84717f9c10f0984d\ c5a528ac2fe8d8db4852ddbd553dffb6edf424ae7fcf9c04480a1fbd4209d4cecc29f3f2ebfb8f\ 5afb64b8f3cb022a3e73065483e3ea40d323fa843ffb9f2ef1be94e1f027bc680491d510177ee1\ 7a217c67e60a0a4d731d03398d4c9c2b212ed5e71291369f19b1445f677d32f4c441a84f908ec9\ 1d0a1c53337349eb5a74f94e127b57fd4baed51f3db00a7c4bb30b76ef088613422be64cc9e289\ 8337e6cd58d06a17eaa99b7c3324badec0b559dbaf435a32f82ef9c5f2c4766870cc1b9275d3e9\ 6e6315c55cf4d13ded14d8172df84eba120da038f12b1bf92dc4 X = 12b57756670073de8bc9f25a5a9ac10cecb5a34945ece8c3cfeefbe5 Y = 7001d0f2b7c07e7589c0c28311419177388a79fb74f7b761c79b9c33d7f516f51b56ba\ 9c227cab80c5dc3a334b0ffb952ddee23a733dd4100a207cf03ff0b96a180118df0f8fdeee5621\ 10d837a535476dfac4de2b9a22dada75ad30e8a0b2c40f78db89f78b7558066dc46fb51adc8e0c\ d5a43824a1bc80f46e1fcaf788e79631bfc0c93481c6f76b159043b846aee4ac94978baefe6398\ ecb1ea5873c64d972087d80b6f5a285c9f349341393bff6fc53ddaacf8222e21b2ad5a8d0a030c\ 71da771110d35db80500fccb2a778f76886b2c3187a41cf349b908cef0ce4e909cf3925535bde4\ 3b4162307207e2e4de23bc10381a769c4616eb0591de1fbe64f8 X = a9f140ea5c160405bd7b0024036556de7452eaa4e44553c99d36ace9 Y = 51cf000e715c5710110448e73647e00d8760da9cc3eed625c08e8a049ef61f8c79e88e\ 0d28e3705c4031d95dcd05324007683cc65c981ea08c8698e84d291e20357899a44ae65ab98f7f\ 7e7047d43883266a56a69a445449c4c179156ed4a2f5495363bba0b6c88ec609fef584d77e3359\ 186c45ed89b6353839a06c9a258e3ab01d7d88a671c796787c40e539f32013de4b2cbefabc8bb2\ 0a0f3c18657d11dbfb67787b818a9f75b1761bc0dd5f49d8e5f92b338f5cea0567f1dc7840df41\ ecfd1d49b2e1bb0f25ca8b90129076f57f1d137bcfca9be6dc4816b4413793c1e4deb97e545462\ 88ec5ebbfbad08e8ad30e1327437d709d54febcd4d403e0b5852 X = b865321afa5061d48c51fd3b5e2c0b3ab6bedcbe780ebc51ccceb3e0 Y = 8b1e3f87a4a5e4b2fc6f5ea6301f48d7f82cb9608e866952177638050172dc5c7a7248\ 4e526bd6593265bea0b37ac4b471f9ebe8d23b9457f680bfe3a13babfe0051a5ff38bde37cc1f0\ 48c3a5169237d41e2952e64e363576b70910c29c56571dfd4c4ff4651eb43ed060e082155bc90d\ 0baa2b67c6cd27d6badaecf921a276c3a98a2297b789f0e1f574eada6cae30706dfe96aef9fb43\ 07509c47364ed81e2e1ac16b2c2f8e040ca00bcd3ad04a33ae562cbc3779a9cbb6fe6c51669d11\ 23cfd4d5687d5c9e46c1e0e9205e638ae18f737804dfacc578c3a4aad529ceeb4695c10ed24c09\ c88a2e723fc8bcc4a8cbd9c626245cfd1c6e2caef7abee1be824 X = 7aa8736a0b96f558c8998d65cc29dbf62f3172679b03f40ea60102d5 Y = 6f675b01fac4ac2caac80cad0eda8ccc038c06ae8aa95ae5832f4e90ff744e73422a9d\ 5d53c109b056e2205d026bc8220098de413d46c3815aeafd83c1c2a111c4bde690be1c24bb95b5\ fec1917f5d2a86533bdb8d3beebde645fe0a849479ccc92145507b0e283c81056ca3cc97685fea\ 8040f1881975ca17d166494d08207bc9efd92c62f2bdc2cbd1be8bdc7cf479885e225466d09e73\ 666c8d57c5e1ce3025f8912560adf769e54eb2167ccb69afbf958e178e8c0bbba55415b0f90d04\ 0789ed42be470b7171556d63799618f7eaf1a5bacfb8e8f5be4bda95a57822d96cdb3b454db927\ 4aac690879b66bda0672fc7fa6031ed40ac5b5a8ae5d0e4dd630 X = 7979f52dc7a4958f5075982e1c0c359dd398cec0a75ced7897834c4b Y = 0264508b83422b402936c841b21b14d328202c0138180b823d22291914b00d2c2f8e3b\ 033da92e4b1f76b35332362117118404a66b5c87dec38957c2a15aa5d109d763be6a02f4389a26\ c300e70b626fc68fbd04e1b2de8b8090d1a5a8e0a08dd110965569852121dcf44f92275f033cde\ 840896257645d9390ff95c0afa7a5b1085e3c02a481d5b3b304bd07007654c4daabb1993480cf8\ 2755a30bf9e66cf9d06f4ad75b7c2385682cc0719867ccd3e732a36ccd3275ddda126bc08e5093\ 349dde5ef729a6f972648b8fc974107be92f57511dc903651d90a5f1939748769dba01f0b7afa1\ 3c18e6c38a255fbba0d7d1d0eb2fdd4d1f9e2b10a9b0f7cf095c [mod = L=2048, N=256] P = ea1fb1af22881558ef93be8a5f8653c5a559434c49c8c2c12ace5e9c41434c9cf0a8e9\ 498acb0f4663c08b4484eace845f6fb17dac62c98e706af0fc74e4da1c6c2b3fbf5a1d58ff82fc\ 1a66f3e8b12252c40278fff9dd7f102eed2cb5b7323ebf1908c234d935414dded7f8d244e54561\ b0dca39b301de8c49da9fb23df33c6182e3f983208c560fb5119fbf78ebe3e6564ee235c6a15cb\ b9ac247baba5a423bc6582a1a9d8a2b4f0e9e3d9dbac122f750dd754325135257488b1f6ecabf2\ 1bff2947fe0d3b2cb7ffe67f4e7fcdf1214f6053e72a5bb0dd20a0e9fe6db2df0a908c36e95e60\ bf49ca4368b8b892b9c79f61ef91c47567c40e1f80ac5aa66ef7 Q = 8ec73f3761caf5fdfe6e4e82098bf10f898740dcb808204bf6b18f507192c19d G = e4c4eca88415b23ecf811c96e48cd24200fe916631a68a684e6ccb6b1913413d344d1d\ 8d84a333839d88eee431521f6e357c16e6a93be111a98076739cd401bab3b9d565bf4fb99e9d18\ 5b1e14d61c93700133f908bae03e28764d107dcd2ea7674217622074bb19efff482f5f5c1a86d5\ 551b2fc68d1c6e9d8011958ef4b9c2a3a55d0d3c882e6ad7f9f0f3c61568f78d0706b10a26f23b\ 4f197c322b825002284a0aca91807bba98ece912b80e10cdf180cf99a35f210c1655fbfdd74f13\ b1b5046591f8403873d12239834dd6c4eceb42bf7482e1794a1601357b629ddfa971f2ed273b14\ 6ec1ca06d0adf55dd91d65c37297bda78c6d210c0bc26e558302 X = 405772da6e90d809e77d5de796562a2dd4dfd10ef00a83a3aba6bd818a0348a1 Y = 6b32e31ab9031dc4dd0b5039a78d07826687ab087ae6de4736f5b0434e1253092e8a0b\ 231f9c87f3fc8a4cb5634eb194bf1b638b7a7889620ce6711567e36aa36cda4604cfaa601a4591\ 8371d4ccf68d8b10a50a0460eb1dc0fff62ef5e6ee4d473e18ea4a66c196fb7e677a49b48241a0\ b4a97128eff30fa437050501a584f8771e7280d26d5af30784039159c11ebfea10b692fd0a5821\ 5eeb18bff117e13f08db792ed4151a218e4bed8dddfb0793225bd1e9773505166f4bd8cedbb286\ ea28232972da7bae836ba97329ba6b0a36508e50a52a7675e476d4d4137eae13f22a9d2fefde70\ 8ba8f34bf336c6e76331761e4b0617633fe7ec3f23672fb19d27 X = 0e0b95e31fda3f888059c46c3002ef8f2d6be112d0209aeb9e9545da67aeea80 Y = 778082b77ddba6f56597cc74c3a612abf2ddbd85cc81430c99ab843c1f630b9db01399\ 65f563978164f9bf3a8397256be714625cd41cd7fa0067d94ea66d7e073f7125af692ad01371d4\ a17f4550590378f2b074030c20e36911598a1018772f61be3b24de4be5a388ccc09e15a92819c3\ 1dec50de9fde105b49eaa097b9d13d9219eeb33b628facfd1c78a7159c8430d0647c506e7e3de7\ 4763cb351eada72c00bef3c9641881e6254870c1e6599f8ca2f1bbb74f39a905e3a34e4544168e\ 6e50c9e3305fd09cab6ed4aff6fda6e0d5bf375c81ac9054406d9193b003c89272f1bd83d48250\ 134b65c77c2b6332d38d34d9016f0e8975536ad6c348a1faedb0 X = 835fd2d1b7b03d90c5ebc073ee69b386c9c07ca06bce80bc574634af8d534f7a Y = cbc3feccf1ef62d31df626a4b2e234afdf1795443e46a471ec8b902b0ae9af36344120\ ed3ca6009751b03e8963a6151e7b2fe572837c3e23815d472ce75cfbaaaaf36e89a939983bd494\ f0421b0f35079e5a243672d708ca3492539733b2a847f638167f7d64c8dd7e3cc8b2f0e7a7fb4b\ 5d1eb4671378caab107c56cb19e4656c5dbb829a712aea8922d1086ffea567dadcf8b42a7d850c\ b3fab1ae7bbd095a6b55c89e1477cbd3780d99474ec70151f0043240a62f730e498310e64b892a\ 07c6716b9cbead0e826e8c545aa0d358d1588fd65d83059f237b9bd732a5a83507c9ce89dc9a98\ cbf9517a76cfc4c588d9d98c0520ba0a0b936e9f35821c31bb23 X = 30f59255791b2f1d8a28e612f9f838201abb68d2a1256830041e0e139088f585 Y = 0ed9564e1d901e13dfb367c71859af2ec4cc2ed1e0007e9d6262ae1c84562f81ddbfa8\ 0ba8dad6d7dc70d38579929ac69d0fbe04143750f91741ccd690ddc3c743cae9589bd32147a677\ 722ba1289a567ea724e20c5ec1e1621582932eada130b8a579d2ff3590bc70fe09721b0067965e\ f2b16fbc7d4739dc780592e5868c8ccd298082ada393654e26e7748177fb55e84509427dd14dc3\ f92e1c6a3e83eb705bf1537d08a0129f01e2c92234264efce0ec2164103999472631de238ddca8\ 4d25a6436caf75563085ba5843e2271bb9b12ee1cfa2dce94d681cda686d281c7ec10b6c4e44af\ f0bf54452416d76267e09eb2a73264433ee9dc72fdf4417c6f7d X = 4d921f8c9e8ceeb7e5244b843a9a238af96818d760bd872ea3e7d3a37d7e97b5 Y = 8b3907eccaaa1ff67705789dbf7e914af940353cda7d0da1d2564a030a5afd7a70d408\ 14b32b0092fe1a92ebf91f2a2c10e9fab9521d855fd8c18199018d5810c7ae7633829f85c739f2\ 43d51c3567449e8f500dd5aec8ff8e1bb3587bdcea9635e4e4b0215ab00d9ea6edd3c48579f257\ f63a95b85271925334bf73900c4e0e4f644379afc9f765354051a57bf37c939d2055d78919ab1b\ 1e9348d585bc73836cfea8310209940cded440fa131e873243029339f57d3a2c4f57ebee294a42\ a06f339dd9e635308755575801b418c5f83e23974b5b4c2f703a628b3fd83b398b5f271616492d\ f14efb7436ed630b4e39d40ab504935bbdbf9b82f25bbd09014e X = 1b46dd4a0b6c3693a1f1e685dd529d6f99dec061d631c7c797ed9908f14b39aa Y = 27e21468657d4f6216e806b716ab87fd324a22d0df4d5e1c26bfc12676fc5db5cd1345\ d3e078428e5fcc7e03c6a6fb6c4e181bb561cdbdfe565f38ec384be183fc5a0930eb3a92cda25f\ 2867b05a7bd7d4d1a7739be9a75569eac9e98e4115ba415db505ef93c0e2b1e58789acd474e414\ 3dfe584ce1f1df6da01f5d3f9a27bba10cdf78737e7aa818daf753eae647477ef20283f5f62b0d\ 9b53f073281131ef3c692407724c5f61abbabcb24ab056236a7062004b2739c803f663d9999934\ 66b5fca3452d954b0edbbf7fefda6d40df8df7ed21f83885e44ebc511a70cb03d525bbe21dce5f\ fb28516441aea2f804301a6c2527265a3df0c411d48cd370fff4 X = 47eea9c0e8b43329262f3a0b617cd04db1cf159af2aba0ea06c2ee5b8a6c2d69 Y = 65dad9740de9422632c4401df77b68a37fbe3db48aceadab7d9002770b38dc8297886c\ dde82fab71650944a692cf714f82841f4f5668ecbeb677744e398a558c5f72d087d26ee29b6324\ c8def060ed5c5fe4f10b215f4b04dde218fe023ae8fcb99be89ad9a1bb737ae73ae7180944de3f\ d6abc0d66b6832213a5db47469e6127394bc1fd5142e46438fa48f9774038a3ea312bf539c700f\ 7a486964abdde996cc0b7d84fec7ef4da121db184d2410d44e9ad9b1b95c3d71edf4a4ba1f29e9\ b8733097fa0c7e8a43141fd0a560f1675323c6ca4504ddb1ed1c2e5887c68f4eecf426f64ce222\ 2bb7a83e771dc27464fef02da9c7c78b2cc36a8aa34b2ab5555a X = 7e15dc5a1fbfa404a40be5f94334d22d50c29550008d29daf16ec682fa29e10a Y = be5e833678b92b78dcbf83b9137329bd9a4fcf3094baf2bb3fd4518e663911cff2d799\ 5ad5903e0b3d6a71e0cf01426ae03332331867857ef8935a78f75a269268e108b1b03e5346eddd\ f4af610ba2aaeb55e5132dccf989aaf5ea069574147c9925297847410ce9fbba9cc65e73e011f2\ 49f449dffc304a170f2e2a218197e91128ead770f03e7e8966887c870e6c405129e08f5c49b1cd\ ef48be2c62007c629c35330e2a27f73acf334295dd7832cbe495b61204694b1eab831a05f40b7a\ 84c3cc726aa6fa408d2d91cb3e02dd7487d4fe1e50b0f7b4d6e468bb086e695fded8f9e8231bb9\ a40b0ff33b61f7143e7df513e7219c2b9102c8ac4321b4036ffb X = 8c77eb7870a4108f70251698f0a272a45a87346c8ef14d01e6e5effd914e65eb Y = 7e3451f243886f90c62cff555ef70fb1b28e3040336d03e2924f8c093e9afddadc8a2e\ 769eb98b5187feb9e029bba4fe3c1fcd0e891abca0792ab9cea27250be580f68baa5e92d05e405\ f8ceeec89b66020a4b08c5b0b4ffe123cf75da89f06a54e90c1f1a747f51e5208d7d718d8bf3f6\ 173442914bcfcd8f68568d7933471f438fe33efffb867b75a8bae0000795643d4170d49f56579f\ 4d5082d50bd0b21837fa4066821c3b4bf9e88a7e3064d76623e07174a3459cef41afa192b3fd4d\ bc84b04e48facb96a66dd39864f8c90838890bdaac64211b0cc800a2a4523540fce1c90d48d44f\ 2160ba2cac83988b09faf27e371298d2feeb677e71ce37e35389 X = 12d4b73532b0a480f88fb82eb3cf89729539ba3b5bfb463c792dc223d1a526dd Y = 1371ad94dc2db02476ac925aa0cbdd7e247f86a08a6f2492cd4b3f7b05aa881b2e83d0\ c5d82246c17cae230a41dd04f05a8c3fed1e09cf8e0d8dc98a9887ff772e2f60434ebea076344f\ 4fbffcbbbd8dee4bc10e7626f26a92c3bf0ac08117bd539b477077d45e11fbe47818f3ce03d6da\ f34c77595e72d1c8376d9772f51ce956f0e30e98f51155e9effb974f3d46fb48c76a004b0117db\ c19d78044f248821f88fa87d55ba124842d159b5ac4ce916487ecf9d03321241a2bf1896747f15\ 5f281434435741b1f26a79d35270167ba3b505a6cec672339823c8fc6dc797d458d639e5ed015a\ c710ebd31b86d736e9b2ab340e7f38f58788483484b81eb0b1ec """).splitlines() expected_vectors = [ {'g': '06b7861abbd35cc89e79c52f68d20875389b127361ca66\ 822138ce4991d2b862259d6b4548a6495b195aa0e0b6137ca37eb23b94074d3c3\ d300042bdf15762812b6333ef7b07ceba78607610fcc9ee68491dbc1e34cd1261\ 5474e52b18bc934fb00c61d39e7da8902291c4434a4e2224c3f4fd9f93cd6f4f1\ 7fc076341a7e7d9', 'p': 'd38311e2cd388c3ed698e82fdf88eb92b5a9a483dc8800\ 5d4b725ef341eabb47cf8a7a8a41e792a156b7ce97206c4f9c5ce6fc5ae791210\ 2b6b502e59050b5b21ce263dddb2044b652236f4d42ab4b5d6aa73189cef1ace7\ 78d7845a5c1c1c7147123188f8dc551054ee162b634d60f097f719076640e2098\ 0a0093113a8bd73', 'q': '96c5390a8b612c0e422bb2b0ea194a3ec935a281', 'x': '8185fee9cc7c0e91fd85503274f1cd5a3fd15a49', 'y': '6f26d98d41de7d871b6381851c9d91fa03942092ab6097\ e76422070edb71db44ff568280fdb1709f8fc3feab39f1f824adaeb2a29808815\ 6ac31af1aa04bf54f475bdcfdcf2f8a2dd973e922d83e76f016558617603129b2\ 1c70bf7d0e5dc9e68fe332e295b65876eb9a12fe6fca9f1a1ce80204646bf99b5\ 771d249a6fea627'}, {'g': '06b7861abbd35cc89e79c52f68d20875389b127361ca66822138\ ce4991d2b862259d6b4548a6495b195aa0e0b6137ca37eb23b94074d3c3d30004\ 2bdf15762812b6333ef7b07ceba78607610fcc9ee68491dbc1e34cd12615474e5\ 2b18bc934fb00c61d39e7da8902291c4434a4e2224c3f4fd9f93cd6f4f17fc076\ 341a7e7d9', 'p': 'd38311e2cd388c3ed698e82fdf88eb92b5a9a483dc88005d4b72\ 5ef341eabb47cf8a7a8a41e792a156b7ce97206c4f9c5ce6fc5ae7912102b6b50\ 2e59050b5b21ce263dddb2044b652236f4d42ab4b5d6aa73189cef1ace778d784\ 5a5c1c1c7147123188f8dc551054ee162b634d60f097f719076640e20980a0093\ 113a8bd73', 'q': '96c5390a8b612c0e422bb2b0ea194a3ec935a281', 'x': '85322d6ea73083064376099ca2f65f56e8522d9b', 'y': '21f8690f717c9f4dcb8f4b6971de2f15b9231fcf41b7eeb997d7\ 81f240bfdddfd2090d22083c26cca39bf37c9caf1ec89518ea64845a50d747b49\ 131ffff6a2fd11ea7bacbb93c7d05137383a06365af82225dd3713ca5a4500631\ 6f53bd12b0e260d5f79795e5a4c9f353f12867a1d3202394673ada8563b71555e\ 53f415254'}, {'g': '06b7861abbd35cc89e79c52f68d20875389b127361ca66822138\ ce4991d2b862259d6b4548a6495b195aa0e0b6137ca37eb23b94074d3c3d30004\ 2bdf15762812b6333ef7b07ceba78607610fcc9ee68491dbc1e34cd12615474e5\ 2b18bc934fb00c61d39e7da8902291c4434a4e2224c3f4fd9f93cd6f4f17fc076\ 341a7e7d9', 'p': 'd38311e2cd388c3ed698e82fdf88eb92b5a9a483dc88005d4b72\ 5ef341eabb47cf8a7a8a41e792a156b7ce97206c4f9c5ce6fc5ae7912102b6b50\ 2e59050b5b21ce263dddb2044b652236f4d42ab4b5d6aa73189cef1ace778d784\ 5a5c1c1c7147123188f8dc551054ee162b634d60f097f719076640e20980a0093\ 113a8bd73', 'q': '96c5390a8b612c0e422bb2b0ea194a3ec935a281', 'x': '8007aace9226517add3b31fb72fe57cf0b71de87', 'y': '0869599e9c233f98719353f50431b8cf9219443b245ccca95fcf\ 81d757288b27b4ee08037f0a8ee5d997eecf7ddf1cae641fa0b24bb0e0fb97765\ 166d92a79b1519cb9549431947ff58ede390c8fe2c44ff1fe9f8b15839d93cfd7\ 27dd0c2698ccf04f85f491d59a4e7fbf873122228af5c27095eea09d7d13b0d58\ 5c79c4849'}, {'g': '06b7861abbd35cc89e79c52f68d20875389b127361ca66822138\ ce4991d2b862259d6b4548a6495b195aa0e0b6137ca37eb23b94074d3c3d30004\ 2bdf15762812b6333ef7b07ceba78607610fcc9ee68491dbc1e34cd12615474e5\ 2b18bc934fb00c61d39e7da8902291c4434a4e2224c3f4fd9f93cd6f4f17fc076\ 341a7e7d9', 'p': 'd38311e2cd388c3ed698e82fdf88eb92b5a9a483dc88005d4b72\ 5ef341eabb47cf8a7a8a41e792a156b7ce97206c4f9c5ce6fc5ae7912102b6b50\ 2e59050b5b21ce263dddb2044b652236f4d42ab4b5d6aa73189cef1ace778d784\ 5a5c1c1c7147123188f8dc551054ee162b634d60f097f719076640e20980a0093\ 113a8bd73', 'q': '96c5390a8b612c0e422bb2b0ea194a3ec935a281', 'x': '2f08cf0627c8ffbde07420c324e594170da5879e', 'y': '1f9098ddb4ec6f7a14841ae87792450292f210fb5a7a90811773\ 1b3c5f3d1694331a85a129b0b6b5363e61544c351799ef1fd9fdae6f7707b1ef5\ 5933192b03cc41a773d1e2c119fe59205ce8f8c47f27ef0620c6892c61bb04907\ e00e6b82c81e1b77bb4e3f87562327555a226217aaaa4e1d29bac7cc8cbebceee\ 3895d8917'}, {'g': '06b7861abbd35cc89e79c52f68d20875389b127361ca66822138\ ce4991d2b862259d6b4548a6495b195aa0e0b6137ca37eb23b94074d3c3d30004\ 2bdf15762812b6333ef7b07ceba78607610fcc9ee68491dbc1e34cd12615474e5\ 2b18bc934fb00c61d39e7da8902291c4434a4e2224c3f4fd9f93cd6f4f17fc076\ 341a7e7d9', 'p': 'd38311e2cd388c3ed698e82fdf88eb92b5a9a483dc88005d4b72\ 5ef341eabb47cf8a7a8a41e792a156b7ce97206c4f9c5ce6fc5ae7912102b6b50\ 2e59050b5b21ce263dddb2044b652236f4d42ab4b5d6aa73189cef1ace778d784\ 5a5c1c1c7147123188f8dc551054ee162b634d60f097f719076640e20980a0093\ 113a8bd73', 'q': '96c5390a8b612c0e422bb2b0ea194a3ec935a281', 'x': '423616c18872f9a3ae1db1f70302ae8decff0be9', 'y': 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