2 # PyGOST -- Pure Python GOST cryptographic functions library
3 # Copyright (C) 2015-2019 Sergey Matveev <stargrave@stargrave.org>
5 # This program is free software: you can redistribute it and/or modify
6 # it under the terms of the GNU General Public License as published by
7 # the Free Software Foundation, version 3 of the License.
9 # This program is distributed in the hope that it will be useful,
10 # but WITHOUT ANY WARRANTY; without even the implied warranty of
11 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 # GNU General Public License for more details.
14 # You should have received a copy of the GNU General Public License
15 # along with this program. If not, see <http://www.gnu.org/licenses/>.
17 from os import urandom
18 from unittest import TestCase
20 from pygost.gost3410 import CURVES
21 from pygost.gost3410 import GOST3410Curve
22 from pygost.gost3410 import public_key
23 from pygost.gost3410 import sign
24 from pygost.gost3410 import uv2xy
25 from pygost.gost3410 import verify
26 from pygost.gost3410 import xy2uv
27 from pygost.utils import bytes2long
28 from pygost.utils import hexdec
29 from pygost.utils import long2bytes
32 class Test341001(TestCase):
34 """ Test vector from :rfc:`5832`
36 prv = bytes(bytearray((
37 0x7A, 0x92, 0x9A, 0xDE, 0x78, 0x9B, 0xB9, 0xBE,
38 0x10, 0xED, 0x35, 0x9D, 0xD3, 0x9A, 0x72, 0xC1,
39 0x1B, 0x60, 0x96, 0x1F, 0x49, 0x39, 0x7E, 0xEE,
40 0x1D, 0x19, 0xCE, 0x98, 0x91, 0xEC, 0x3B, 0x28
42 pub_x = bytes(bytearray((
43 0x7F, 0x2B, 0x49, 0xE2, 0x70, 0xDB, 0x6D, 0x90,
44 0xD8, 0x59, 0x5B, 0xEC, 0x45, 0x8B, 0x50, 0xC5,
45 0x85, 0x85, 0xBA, 0x1D, 0x4E, 0x9B, 0x78, 0x8F,
46 0x66, 0x89, 0xDB, 0xD8, 0xE5, 0x6F, 0xD8, 0x0B
48 pub_y = bytes(bytearray((
49 0x26, 0xF1, 0xB4, 0x89, 0xD6, 0x70, 0x1D, 0xD1,
50 0x85, 0xC8, 0x41, 0x3A, 0x97, 0x7B, 0x3C, 0xBB,
51 0xAF, 0x64, 0xD1, 0xC5, 0x93, 0xD2, 0x66, 0x27,
52 0xDF, 0xFB, 0x10, 0x1A, 0x87, 0xFF, 0x77, 0xDA
54 digest = bytes(bytearray((
55 0x2D, 0xFB, 0xC1, 0xB3, 0x72, 0xD8, 0x9A, 0x11,
56 0x88, 0xC0, 0x9C, 0x52, 0xE0, 0xEE, 0xC6, 0x1F,
57 0xCE, 0x52, 0x03, 0x2A, 0xB1, 0x02, 0x2E, 0x8E,
58 0x67, 0xEC, 0xE6, 0x67, 0x2B, 0x04, 0x3E, 0xE5
60 signature = bytes(bytearray((
61 0x41, 0xAA, 0x28, 0xD2, 0xF1, 0xAB, 0x14, 0x82,
62 0x80, 0xCD, 0x9E, 0xD5, 0x6F, 0xED, 0xA4, 0x19,
63 0x74, 0x05, 0x35, 0x54, 0xA4, 0x27, 0x67, 0xB8,
64 0x3A, 0xD0, 0x43, 0xFD, 0x39, 0xDC, 0x04, 0x93,
65 0x01, 0x45, 0x6C, 0x64, 0xBA, 0x46, 0x42, 0xA1,
66 0x65, 0x3C, 0x23, 0x5A, 0x98, 0xA6, 0x02, 0x49,
67 0xBC, 0xD6, 0xD3, 0xF7, 0x46, 0xB6, 0x31, 0xDF,
68 0x92, 0x80, 0x14, 0xF6, 0xC5, 0xBF, 0x9C, 0x40
71 signature = signature[32:] + signature[:32]
73 c = CURVES["id-GostR3410-2001-TestParamSet"]
74 pubX, pubY = public_key(c, prv)
75 self.assertSequenceEqual(long2bytes(pubX), pub_x)
76 self.assertSequenceEqual(long2bytes(pubY), pub_y)
77 s = sign(c, prv, digest)
78 self.assertTrue(verify(c, (pubX, pubY), digest, s))
79 self.assertTrue(verify(c, (pubX, pubY), digest, signature))
81 def test_sequence(self):
82 c = CURVES["id-GostR3410-2001-TestParamSet"]
83 prv = bytes2long(urandom(32))
84 pubX, pubY = public_key(c, prv)
87 s = sign(c, prv, digest, mode=2001)
88 self.assertTrue(verify(c, (pubX, pubY), digest, s, mode=2001))
91 class Test34102012(TestCase):
93 """ Test vector from libgcl3
95 p = bytes2long(bytes(bytearray((
96 0x45, 0x31, 0xAC, 0xD1, 0xFE, 0x00, 0x23, 0xC7,
97 0x55, 0x0D, 0x26, 0x7B, 0x6B, 0x2F, 0xEE, 0x80,
98 0x92, 0x2B, 0x14, 0xB2, 0xFF, 0xB9, 0x0F, 0x04,
99 0xD4, 0xEB, 0x7C, 0x09, 0xB5, 0xD2, 0xD1, 0x5D,
100 0xF1, 0xD8, 0x52, 0x74, 0x1A, 0xF4, 0x70, 0x4A,
101 0x04, 0x58, 0x04, 0x7E, 0x80, 0xE4, 0x54, 0x6D,
102 0x35, 0xB8, 0x33, 0x6F, 0xAC, 0x22, 0x4D, 0xD8,
103 0x16, 0x64, 0xBB, 0xF5, 0x28, 0xBE, 0x63, 0x73,
105 q = bytes2long(bytes(bytearray((
106 0x45, 0x31, 0xAC, 0xD1, 0xFE, 0x00, 0x23, 0xC7,
107 0x55, 0x0D, 0x26, 0x7B, 0x6B, 0x2F, 0xEE, 0x80,
108 0x92, 0x2B, 0x14, 0xB2, 0xFF, 0xB9, 0x0F, 0x04,
109 0xD4, 0xEB, 0x7C, 0x09, 0xB5, 0xD2, 0xD1, 0x5D,
110 0xA8, 0x2F, 0x2D, 0x7E, 0xCB, 0x1D, 0xBA, 0xC7,
111 0x19, 0x90, 0x5C, 0x5E, 0xEC, 0xC4, 0x23, 0xF1,
112 0xD8, 0x6E, 0x25, 0xED, 0xBE, 0x23, 0xC5, 0x95,
113 0xD6, 0x44, 0xAA, 0xF1, 0x87, 0xE6, 0xE6, 0xDF,
115 a = bytes2long(bytes(bytearray((
116 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
117 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
118 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
119 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
120 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
121 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
122 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00,
123 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x00, 0x07,
125 b = bytes2long(bytes(bytearray((
126 0x1C, 0xFF, 0x08, 0x06, 0xA3, 0x11, 0x16, 0xDA,
127 0x29, 0xD8, 0xCF, 0xA5, 0x4E, 0x57, 0xEB, 0x74,
128 0x8B, 0xC5, 0xF3, 0x77, 0xE4, 0x94, 0x00, 0xFD,
129 0xD7, 0x88, 0xB6, 0x49, 0xEC, 0xA1, 0xAC, 0x43,
130 0x61, 0x83, 0x40, 0x13, 0xB2, 0xAD, 0x73, 0x22,
131 0x48, 0x0A, 0x89, 0xCA, 0x58, 0xE0, 0xCF, 0x74,
132 0xBC, 0x9E, 0x54, 0x0C, 0x2A, 0xDD, 0x68, 0x97,
133 0xFA, 0xD0, 0xA3, 0x08, 0x4F, 0x30, 0x2A, 0xDC,
135 x = bytes2long(bytes(bytearray((
136 0x24, 0xD1, 0x9C, 0xC6, 0x45, 0x72, 0xEE, 0x30,
137 0xF3, 0x96, 0xBF, 0x6E, 0xBB, 0xFD, 0x7A, 0x6C,
138 0x52, 0x13, 0xB3, 0xB3, 0xD7, 0x05, 0x7C, 0xC8,
139 0x25, 0xF9, 0x10, 0x93, 0xA6, 0x8C, 0xD7, 0x62,
140 0xFD, 0x60, 0x61, 0x12, 0x62, 0xCD, 0x83, 0x8D,
141 0xC6, 0xB6, 0x0A, 0xA7, 0xEE, 0xE8, 0x04, 0xE2,
142 0x8B, 0xC8, 0x49, 0x97, 0x7F, 0xAC, 0x33, 0xB4,
143 0xB5, 0x30, 0xF1, 0xB1, 0x20, 0x24, 0x8A, 0x9A,
145 y = bytes2long(bytes(bytearray((
146 0x2B, 0xB3, 0x12, 0xA4, 0x3B, 0xD2, 0xCE, 0x6E,
147 0x0D, 0x02, 0x06, 0x13, 0xC8, 0x57, 0xAC, 0xDD,
148 0xCF, 0xBF, 0x06, 0x1E, 0x91, 0xE5, 0xF2, 0xC3,
149 0xF3, 0x24, 0x47, 0xC2, 0x59, 0xF3, 0x9B, 0x2C,
150 0x83, 0xAB, 0x15, 0x6D, 0x77, 0xF1, 0x49, 0x6B,
151 0xF7, 0xEB, 0x33, 0x51, 0xE1, 0xEE, 0x4E, 0x43,
152 0xDC, 0x1A, 0x18, 0xB9, 0x1B, 0x24, 0x64, 0x0B,
153 0x6D, 0xBB, 0x92, 0xCB, 0x1A, 0xDD, 0x37, 0x1E,
155 prv = bytes(bytearray((
156 0x0B, 0xA6, 0x04, 0x8A, 0xAD, 0xAE, 0x24, 0x1B,
157 0xA4, 0x09, 0x36, 0xD4, 0x77, 0x56, 0xD7, 0xC9,
158 0x30, 0x91, 0xA0, 0xE8, 0x51, 0x46, 0x69, 0x70,
159 0x0E, 0xE7, 0x50, 0x8E, 0x50, 0x8B, 0x10, 0x20,
160 0x72, 0xE8, 0x12, 0x3B, 0x22, 0x00, 0xA0, 0x56,
161 0x33, 0x22, 0xDA, 0xD2, 0x82, 0x7E, 0x27, 0x14,
162 0xA2, 0x63, 0x6B, 0x7B, 0xFD, 0x18, 0xAA, 0xDF,
163 0xC6, 0x29, 0x67, 0x82, 0x1F, 0xA1, 0x8D, 0xD4,
165 pub_x = bytes(bytearray((
166 0x11, 0x5D, 0xC5, 0xBC, 0x96, 0x76, 0x0C, 0x7B,
167 0x48, 0x59, 0x8D, 0x8A, 0xB9, 0xE7, 0x40, 0xD4,
168 0xC4, 0xA8, 0x5A, 0x65, 0xBE, 0x33, 0xC1, 0x81,
169 0x5B, 0x5C, 0x32, 0x0C, 0x85, 0x46, 0x21, 0xDD,
170 0x5A, 0x51, 0x58, 0x56, 0xD1, 0x33, 0x14, 0xAF,
171 0x69, 0xBC, 0x5B, 0x92, 0x4C, 0x8B, 0x4D, 0xDF,
172 0xF7, 0x5C, 0x45, 0x41, 0x5C, 0x1D, 0x9D, 0xD9,
173 0xDD, 0x33, 0x61, 0x2C, 0xD5, 0x30, 0xEF, 0xE1,
175 pub_y = bytes(bytearray((
176 0x37, 0xC7, 0xC9, 0x0C, 0xD4, 0x0B, 0x0F, 0x56,
177 0x21, 0xDC, 0x3A, 0xC1, 0xB7, 0x51, 0xCF, 0xA0,
178 0xE2, 0x63, 0x4F, 0xA0, 0x50, 0x3B, 0x3D, 0x52,
179 0x63, 0x9F, 0x5D, 0x7F, 0xB7, 0x2A, 0xFD, 0x61,
180 0xEA, 0x19, 0x94, 0x41, 0xD9, 0x43, 0xFF, 0xE7,
181 0xF0, 0xC7, 0x0A, 0x27, 0x59, 0xA3, 0xCD, 0xB8,
182 0x4C, 0x11, 0x4E, 0x1F, 0x93, 0x39, 0xFD, 0xF2,
183 0x7F, 0x35, 0xEC, 0xA9, 0x36, 0x77, 0xBE, 0xEC,
185 digest = bytes(bytearray((
186 0x37, 0x54, 0xF3, 0xCF, 0xAC, 0xC9, 0xE0, 0x61,
187 0x5C, 0x4F, 0x4A, 0x7C, 0x4D, 0x8D, 0xAB, 0x53,
188 0x1B, 0x09, 0xB6, 0xF9, 0xC1, 0x70, 0xC5, 0x33,
189 0xA7, 0x1D, 0x14, 0x70, 0x35, 0xB0, 0xC5, 0x91,
190 0x71, 0x84, 0xEE, 0x53, 0x65, 0x93, 0xF4, 0x41,
191 0x43, 0x39, 0x97, 0x6C, 0x64, 0x7C, 0x5D, 0x5A,
192 0x40, 0x7A, 0xDE, 0xDB, 0x1D, 0x56, 0x0C, 0x4F,
193 0xC6, 0x77, 0x7D, 0x29, 0x72, 0x07, 0x5B, 0x8C,
195 signature = bytes(bytearray((
196 0x2F, 0x86, 0xFA, 0x60, 0xA0, 0x81, 0x09, 0x1A,
197 0x23, 0xDD, 0x79, 0x5E, 0x1E, 0x3C, 0x68, 0x9E,
198 0xE5, 0x12, 0xA3, 0xC8, 0x2E, 0xE0, 0xDC, 0xC2,
199 0x64, 0x3C, 0x78, 0xEE, 0xA8, 0xFC, 0xAC, 0xD3,
200 0x54, 0x92, 0x55, 0x84, 0x86, 0xB2, 0x0F, 0x1C,
201 0x9E, 0xC1, 0x97, 0xC9, 0x06, 0x99, 0x85, 0x02,
202 0x60, 0xC9, 0x3B, 0xCB, 0xCD, 0x9C, 0x5C, 0x33,
203 0x17, 0xE1, 0x93, 0x44, 0xE1, 0x73, 0xAE, 0x36,
204 0x10, 0x81, 0xB3, 0x94, 0x69, 0x6F, 0xFE, 0x8E,
205 0x65, 0x85, 0xE7, 0xA9, 0x36, 0x2D, 0x26, 0xB6,
206 0x32, 0x5F, 0x56, 0x77, 0x8A, 0xAD, 0xBC, 0x08,
207 0x1C, 0x0B, 0xFB, 0xE9, 0x33, 0xD5, 0x2F, 0xF5,
208 0x82, 0x3C, 0xE2, 0x88, 0xE8, 0xC4, 0xF3, 0x62,
209 0x52, 0x60, 0x80, 0xDF, 0x7F, 0x70, 0xCE, 0x40,
210 0x6A, 0x6E, 0xEB, 0x1F, 0x56, 0x91, 0x9C, 0xB9,
211 0x2A, 0x98, 0x53, 0xBD, 0xE7, 0x3E, 0x5B, 0x4A,
213 prv = bytes2long(prv)
214 signature = signature[64:] + signature[:64]
215 c = GOST3410Curve(p, q, a, b, x, y)
216 pubX, pubY = public_key(c, prv)
217 self.assertSequenceEqual(long2bytes(pubX), pub_x)
218 self.assertSequenceEqual(long2bytes(pubY), pub_y)
219 s = sign(c, prv, digest, mode=2012)
220 self.assertTrue(verify(c, (pubX, pubY), digest, s, mode=2012))
221 self.assertTrue(verify(c, (pubX, pubY), digest, signature, mode=2012))
223 def test_sequence(self):
224 c = CURVES["id-tc26-gost-3410-12-512-paramSetA"]
225 prv = bytes2long(urandom(64))
226 pubX, pubY = public_key(c, prv)
229 s = sign(c, prv, digest, mode=2012)
230 self.assertTrue(verify(c, (pubX, pubY), digest, s, mode=2012))
231 self.assertNotIn(b"\x00" * 8, s)
234 class TestUVXYConversion(TestCase):
235 """Twisted Edwards to Weierstrass coordinates conversion and vice versa
237 def test_curve1(self):
238 c = CURVES["id-tc26-gost-3410-2012-256-paramSetA"]
239 u, v = (0x0D, bytes2long(hexdec("60CA1E32AA475B348488C38FAB07649CE7EF8DBE87F22E81F92B2592DBA300E7")))
240 self.assertEqual(uv2xy(c, u, v), (c.x, c.y))
241 self.assertEqual(xy2uv(c, c.x, c.y), (u, v))
243 def test_curve2(self):
244 c = CURVES["id-tc26-gost-3410-2012-512-paramSetC"]
245 u, v = (0x12, bytes2long(hexdec("469AF79D1FB1F5E16B99592B77A01E2A0FDFB0D01794368D9A56117F7B38669522DD4B650CF789EEBF068C5D139732F0905622C04B2BAAE7600303EE73001A3D")))
246 self.assertEqual(uv2xy(c, u, v), (c.x, c.y))
247 self.assertEqual(xy2uv(c, c.x, c.y), (u, v))
250 class Test34102012SESPAKE(TestCase):
251 """Test vectors for multiplication from :rfc:`8133`
253 def test_curve1(self):
254 c = CURVES["id-GostR3410-2001-CryptoPro-A-ParamSet"]
256 0xA69D51CAF1A309FA9E9B66187759B0174C274E080356F23CFCBFE84D396AD7BB,
257 0x5D26F29ECC2E9AC0404DCF7986FA55FE94986362170F54B9616426A659786DAC,
260 c.exp(bytes2long(hexdec(
261 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F18127067"
262 )[::-1]), x=q_ind[0], y=q_ind[1]),
264 0x59495655D1E7C7424C622485F575CCF121F3122D274101E8AB734CC9C9A9B45E,
265 0x48D1C311D33C9B701F3B03618562A4A07A044E3AF31E3999E67B487778B53C62,
269 c.exp(0x1F2538097D5A031FA68BBB43C84D12B3DE47B7061C0D5E24993E0C873CDBA6B3),
271 0xBBC77CF42DC1E62D06227935379B4AA4D14FEA4F565DDF4CB4FA4D31579F9676,
272 0x8E16604A4AFDF28246684D4996274781F6CB80ABBBA1414C1513EC988509DABF,
276 c.exp(0xDC497D9EF6324912FD367840EE509A2032AEDB1C0A890D133B45F596FCCBD45D),
278 0x6097341C1BE388E83E7CA2DF47FAB86E2271FD942E5B7B2EB2409E49F742BC29,
279 0xC81AA48BDB4CA6FA0EF18B9788AE25FE30857AA681B3942217F9FED151BAB7D0,
283 def test_curve2(self):
284 c = CURVES["id-GostR3410-2001-CryptoPro-B-ParamSet"]
286 0x3D715A874A4B17CB3B517893A9794A2B36C89D2FFC693F01EE4CC27E7F49E399,
287 0x1C5A641FCF7CE7E87CDF8CEA38F3DB3096EACE2FAD158384B53953365F4FE7FE,
290 c.exp(bytes2long(hexdec(
291 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F18127067"
292 )[::-1]), x=q_ind[0], y=q_ind[1]),
294 0x6DC2AE26BC691FCA5A73D9C452790D15E34BA5404D92955B914C8D2662ABB985,
295 0x3B02AAA9DD65AE30C335CED12F3154BBAC059F66B088306747453EDF6E5DB077,
299 c.exp(0x499D72B90299CAB0DA1F8BE19D9122F622A13B32B730C46BD0664044F2144FAD),
301 0x61D6F916DB717222D74877F179F7EBEF7CD4D24D8C1F523C048E34A1DF30F8DD,
302 0x3EC48863049CFCFE662904082E78503F4973A4E105E2F1B18C69A5E7FB209000,
306 c.exp(0x0F69FF614957EF83668EDC2D7ED614BE76F7B253DB23C5CC9C52BF7DF8F4669D),
308 0x33BC6F7E9C0BA10CFB2B72546C327171295508EA97F8C8BA9F890F2478AB4D6C,
309 0x75D57B396C396F492F057E9222CCC686437A2AAD464E452EF426FC8EEED1A4A6,
313 def test_curve3(self):
314 c = CURVES["id-GostR3410-2001-CryptoPro-C-ParamSet"]
316 0x1E36383E43BB6CFA2917167D71B7B5DD3D6D462B43D7C64282AE67DFBEC2559D,
317 0x137478A9F721C73932EA06B45CF72E37EB78A63F29A542E563C614650C8B6399,
320 c.exp(bytes2long(hexdec(
321 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F18127067"
322 )[::-1]), x=q_ind[0], y=q_ind[1]),
324 0x945821DAF91E158B839939630655A3B21FF3E146D27041E86C05650EB3B46B59,
325 0x3A0C2816AC97421FA0E879605F17F0C9C3EB734CFF196937F6284438D70BDC48,
329 c.exp(0x3A54AC3F19AD9D0B1EAC8ACDCEA70E581F1DAC33D13FEAFD81E762378639C1A8),
331 0x96B7F09C94D297C257A7DA48364C0076E59E48D221CBA604AE111CA3933B446A,
332 0x54E4953D86B77ECCEB578500931E822300F7E091F79592CA202A020D762C34A6,
336 c.exp(0x448781782BF7C0E52A1DD9E6758FD3482D90D3CFCCF42232CF357E59A4D49FD4),
338 0x4B9C0AB55A938121F282F48A2CC4396EB16E7E0068B495B0C1DD4667786A3EB7,
339 0x223460AA8E09383E9DF9844C5A0F2766484738E5B30128A171B69A77D9509B96,
343 def test_curve4(self):
344 c = CURVES["id-tc26-gost-3410-12-512-paramSetA"]
346 0x2A17F8833A32795327478871B5C5E88AEFB91126C64B4B8327289BEA62559425D18198F133F400874328B220C74497CD240586CB249E158532CB8090776CD61C,
347 0x728F0C4A73B48DA41CE928358FAD26B47A6E094E9362BAE82559F83CDDC4EC3A4676BD3707EDEAF4CD85E99695C64C241EDC622BE87DC0CF87F51F4367F723C5,
350 c.exp(bytes2long(hexdec(
351 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F181270671C6213E3930EFDDA26451792C6208122EE60D200520D695DFD9F5F0FD5ABA702"
352 )[::-1]), x=q_ind[0], y=q_ind[1]),
354 0x0C0AB53D0E0A9C607CAD758F558915A0A7DC5DC87B45E9A58FDDF30EC3385960283E030CD322D9E46B070637785FD49D2CD711F46807A24C40AF9A42C8E2D740,
355 0xDF93A8012B86D3A3D4F8A4D487DA15FC739EB31B20B3B0E8C8C032AAF8072C6337CF7D5B404719E5B4407C41D9A3216A08CA69C271484E9ED72B8AAA52E28B8B,
359 c.exp(0x3CE54325DB52FE798824AEAD11BB16FA766857D04A4AF7D468672F16D90E7396046A46F815693E85B1CE5464DA9270181F82333B0715057BBE8D61D400505F0E),
361 0xB93093EB0FCC463239B7DF276E09E592FCFC9B635504EA4531655D76A0A3078E2B4E51CFE2FA400CC5DE9FBE369DB204B3E8ED7EDD85EE5CCA654C1AED70E396,
362 0x809770B8D910EA30BD2FA89736E91DC31815D2D9B31128077EEDC371E9F69466F497DC64DD5B1FADC587F860EE256109138C4A9CD96B628E65A8F590520FC882,
366 c.exp(0xB5C286A79AA8E97EC0E19BC1959A1D15F12F8C97870BA9D68CC12811A56A3BB11440610825796A49D468CDC9C2D02D76598A27973D5960C5F50BCE28D8D345F4),
368 0x238B38644E440452A99FA6B93D9FD7DA0CB83C32D3C1E3CFE5DF5C3EB0F9DB91E588DAEDC849EA2FB867AE855A21B4077353C0794716A6480995113D8C20C7AF,
369 0xB2273D5734C1897F8D15A7008B862938C8C74CA7E877423D95243EB7EBD02FD2C456CF9FC956F078A59AA86F19DD1075E5167E4ED35208718EA93161C530ED14,
373 def test_curve5(self):
374 c = CURVES["id-tc26-gost-3410-12-512-paramSetB"]
376 0x7E1FAE8285E035BEC244BEF2D0E5EBF436633CF50E55231DEA9C9CF21D4C8C33DF85D4305DE92971F0A4B4C07E00D87BDBC720EB66E49079285AAF12E0171149,
377 0x2CC89998B875D4463805BA0D858A196592DB20AB161558FF2F4EF7A85725D20953967AE621AFDEAE89BB77C83A2528EF6FCE02F68BDA4679D7F2704947DBC408,
380 c.exp(bytes2long(hexdec(
381 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F181270671C6213E3930EFDDA26451792C6208122EE60D200520D695DFD9F5F0FD5ABA702"
382 )[::-1]), x=q_ind[0], y=q_ind[1]),
384 0x7D03E65B8050D1E12CBB601A17B9273B0E728F5021CD47C8A4DD822E4627BA5F9C696286A2CDDA9A065509866B4DEDEDC4A118409604AD549F87A60AFA621161,
385 0x16037DAD45421EC50B00D50BDC6AC3B85348BC1D3A2F85DB27C3373580FEF87C2C743B7ED30F22BE22958044E716F93A61CA3213A361A2797A16A3AE62957377,
389 c.exp(0x715E893FA639BF341296E0623E6D29DADF26B163C278767A7982A989462A3863FE12AEF8BD403D59C4DC4720570D4163DB0805C7C10C4E818F9CB785B04B9997),
391 0x10C479EA1C04D3C2C02B0576A9C42D96226FF033C1191436777F66916030D87D02FB93738ED7669D07619FFCE7C1F3C4DB5E5DF49E2186D6FA1E2EB5767602B9,
392 0x039F6044191404E707F26D59D979136A831CCE43E1C5F0600D1DDF8F39D0CA3D52FBD943BF04DDCED1AA2CE8F5EBD7487ACDEF239C07D015084D796784F35436,
396 c.exp(0x30FA8C2B4146C2DBBE82BED04D7378877E8C06753BD0A0FF71EBF2BEFE8DA8F3DC0836468E2CE7C5C961281B6505140F8407413F03C2CB1D201EA1286CE30E6D),
398 0x34C0149E7BB91AE377B02573FCC48AF7BFB7B16DEB8F9CE870F384688E3241A3A868588CC0EF4364CCA67D17E3260CD82485C202ADC76F895D5DF673B1788E67,
399 0x608E944929BD643569ED5189DB871453F13333A1EAF82B2FE1BE8100E775F13DD9925BD317B63BFAF05024D4A738852332B64501195C1B2EF789E34F23DDAFC5,
403 def test_curve6(self):
404 c = CURVES["id-tc26-gost-3410-2012-256-paramSetA"]
406 0xB51ADF93A40AB15792164FAD3352F95B66369EB2A4EF5EFAE32829320363350E,
407 0x74A358CC08593612F5955D249C96AFB7E8B0BB6D8BD2BBE491046650D822BE18,
410 c.exp(bytes2long(hexdec(
411 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F18127067"
412 )[::-1]), x=q_ind[0], y=q_ind[1]),
414 0xDBF99827078956812FA48C6E695DF589DEF1D18A2D4D35A96D75BF6854237629,
415 0x9FDDD48BFBC57BEE1DA0CFF282884F284D471B388893C48F5ECB02FC18D67589,
419 c.exp(0x147B72F6684FB8FD1B418A899F7DBECAF5FCE60B13685BAA95328654A7F0707F),
421 0x33FBAC14EAE538275A769417829C431BD9FA622B6F02427EF55BD60EE6BC2888,
422 0x22F2EBCF960A82E6CDB4042D3DDDA511B2FBA925383C2273D952EA2D406EAE46,
426 c.exp(0x30D5CFADAA0E31B405E6734C03EC4C5DF0F02F4BA25C9A3B320EE6453567B4CB),
428 0x2B2D89FAB735433970564F2F28CFA1B57D640CB902BC6334A538F44155022CB2,
429 0x10EF6A82EEF1E70F942AA81D6B4CE5DEC0DDB9447512962874870E6F2849A96F,
433 def test_curve7(self):
434 c = CURVES["id-tc26-gost-3410-2012-512-paramSetC"]
436 0x489C91784E02E98F19A803ABCA319917F37689E5A18965251CE2FF4E8D8B298F5BA7470F9E0E713487F96F4A8397B3D09A270C9D367EB5E0E6561ADEEB51581D,
437 0x684EA885ACA64EAF1B3FEE36C0852A3BE3BD8011B0EF18E203FF87028D6EB5DB2C144A0DCC71276542BFD72CA2A43FA4F4939DA66D9A60793C704A8C94E16F18,
440 c.exp(bytes2long(hexdec(
441 "BD04673F7149B18E98155BD1E2724E71D0099AA25174F792D3326C6F181270671C6213E3930EFDDA26451792C6208122EE60D200520D695DFD9F5F0FD5ABA702"
442 )[::-1]), x=q_ind[0], y=q_ind[1]),
444 0x0185AE6271A81BB7F236A955F7CAA26FB63849813C0287D96C83A15AE6B6A86467AB13B6D88CE8CD7DC2E5B97FF5F28FAC2C108F2A3CF3DB5515C9E6D7D210E8,
445 0xED0220F92EF771A71C64ECC77986DB7C03D37B3E2AB3E83F32CE5E074A762EC08253C9E2102B87532661275C4B1D16D2789CDABC58ACFDF7318DE70AB64F09B8,
449 c.exp(0x332F930421D14CFE260042159F18E49FD5A54167E94108AD80B1DE60B13DE7999A34D611E63F3F870E5110247DF8EC7466E648ACF385E52CCB889ABF491EDFF0),
451 0x561655966D52952E805574F4281F1ED3A2D498932B00CBA9DECB42837F09835BFFBFE2D84D6B6B242FE7B57F92E1A6F2413E12DDD6383E4437E13D72693469AD,
452 0xF6B18328B2715BD7F4178615273A36135BC0BF62F7D8BB9F080164AD36470AD03660F51806C64C6691BADEF30F793720F8E3FEAED631D6A54A4C372DCBF80E82,
456 c.exp(0x38481771E7D054F96212686B613881880BD8A6C89DDBC656178F014D2C093432A033EE10415F13A160D44C2AD61E6E2E05A7F7EC286BCEA3EA4D4D53F8634FA2),
458 0xB7C5818687083433BC1AFF61CB5CA79E38232025E0C1F123B8651E62173CE6873F3E6FFE7281C2E45F4F524F66B0C263616ED08FD210AC4355CA3292B51D71C3,
459 0x497F14205DBDC89BDDAF50520ED3B1429AD30777310186BE5E68070F016A44E0C766DB08E8AC23FBDFDE6D675AA4DF591EB18BA0D348DF7AA40973A2F1DCFA55,