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import re
import base64
import unittest
from binascii import hexlify, unhexlify
from Crypto.Util.py3compat import bord
from Crypto.Hash import SHA256
from Crypto.PublicKey import ECC
from Crypto.SelfTest.st_common import list_test_cases
from Crypto.SelfTest.loader import load_test_vectors, load_test_vectors_wycheproof
from Crypto.Protocol import DH
from Crypto.Protocol.DH import (key_agreement,
import_x25519_public_key,
import_x25519_private_key)
class FIPS_ECDH_Tests_KAT(unittest.TestCase):
pass
test_vectors_verify = load_test_vectors(("Protocol", ),
"KAS_ECC_CDH_PrimitiveTest.txt",
"ECC CDH Primitive (SP800-56A Section 5.7.1.2)",
{
'qcavsx': lambda x: int(x, 16),
'qcavsy': lambda x: int(x, 16),
'diut': lambda x: int(x, 16),
'qiutx': lambda x: int(x, 16),
'qiuty': lambda x: int(x, 16),
}) or []
for idx, tv in enumerate(test_vectors_verify):
# Stand-alone header with curve name
if isinstance(tv, str):
res = re.match(r"\[([A-Za-z0-9-]+)\]", tv)
assert res
curve_name = res.group(1)
continue
public_key = ECC.construct(curve=curve_name,
point_x=tv.qcavsx,
point_y=tv.qcavsy)
private_key = ECC.construct(curve=curve_name,
d=tv.diut)
exp_response = tv.ziut
def ecdh_test(self,
public_key=public_key,
private_key=private_key,
exp_response=exp_response):
z = key_agreement(
static_pub=public_key,
static_priv=private_key,
kdf=lambda x: x)
self.assertEqual(z, exp_response)
def ecdh_test_rev(self,
public_key=public_key,
private_key=private_key,
exp_response=exp_response):
z = key_agreement(
static_pub=public_key,
static_priv=private_key,
kdf=lambda x: x)
self.assertEqual(z, exp_response)
setattr(FIPS_ECDH_Tests_KAT, "test_verify_positive_%d" % idx, ecdh_test)
if idx == 1:
setattr(FIPS_ECDH_Tests_KAT, "test_verify_positive_rev_%d" % idx, ecdh_test_rev)
class TestVectorsECDHWycheproof(unittest.TestCase):
desc = "Wycheproof ECDH tests"
def add_tests(self, filename):
def curve(g):
return g['curve']
def private(u):
return int(u['private'], 16)
result = load_test_vectors_wycheproof(("Protocol", "wycheproof"),
filename,
"Wycheproof ECDH (%s)"
% filename,
group_tag={'curve': curve},
unit_tag={'private': private},
)
self.tv += result
def setUp(self):
self.tv = []
self.desc = None
self.add_tests("ecdh_secp224r1_ecpoint_test.json")
self.add_tests("ecdh_secp256r1_ecpoint_test.json")
self.add_tests("ecdh_secp384r1_ecpoint_test.json")
self.add_tests("ecdh_secp521r1_ecpoint_test.json")
self.add_tests("ecdh_secp224r1_test.json")
self.add_tests("ecdh_secp256r1_test.json")
self.add_tests("ecdh_secp384r1_test.json")
self.add_tests("ecdh_secp521r1_test.json")
def shortDescription(self):
return self.desc
def test_verify(self, tv):
if len(tv.public) == 0:
return
try:
if bord(tv.public[0]) == 4: # SEC1
public_key = ECC.import_key(tv.public, curve_name=tv.curve)
else:
public_key = ECC.import_key(tv.public)
except ValueError:
assert tv.warning or not tv.valid
return
private_key = ECC.construct(curve=tv.curve, d=tv.private)
try:
z = key_agreement(static_pub=public_key,
static_priv=private_key,
kdf=lambda x: x)
except ValueError:
assert not tv.valid
except TypeError as e:
assert not tv.valid
assert "incompatible curve" in str(e)
else:
self.assertEqual(z, tv.shared)
assert tv.valid
def runTest(self):
for tv in self.tv:
self.desc = "Wycheproof ECDH Verify Test #%d (%s, %s)" % (tv.id, tv.comment, tv.filename)
self.test_verify(tv)
class ECDH_Tests(unittest.TestCase):
static_priv = ECC.import_key('-----BEGIN PRIVATE KEY-----\nMIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQg9VHFVKh2a1aVFifH\n+BiyNaRa2kttEg3165Ye/dJxJ7KhRANCAARImIEXro5ZOcyWU2mq/+d79FEZXtTA\nbKkz1aICQXihQdCMzRNbeNtC9LFLzhu1slRKJ2xsDAlw9r6w6vwtkRzr\n-----END PRIVATE KEY-----')
static_pub = ECC.import_key('-----BEGIN PRIVATE KEY-----\nMIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgHhmv8zmZ+Nw8fsZd\ns8tlZflyfw2NE1CRS9DWr3Y3O46hRANCAAS3hZVUCbk+uk3w4S/YOraEVGG+WYpk\nNO/vrwzufUUks2GV2OnBQESe0EBk4Jq8gn4ij8Lvs3rZX2yT+XfeATYd\n-----END PRIVATE KEY-----').public_key()
eph_priv = ECC.import_key('-----BEGIN PRIVATE KEY-----\nMIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQgGPdJmFFFKzLPspIr\nE1T2cEjeIf4ajS9CpneP0e2b3AyhRANCAAQBexAA5BYDcXHs2KOksTYUsst4HhPt\nkp0zkgI2virc3OGJFNGPaCCPfFCQJHwLRaEpiq3SoQlgoBwSc8ZPsl3y\n-----END PRIVATE KEY-----')
eph_pub = ECC.import_key('-----BEGIN PRIVATE KEY-----\nMIGHAgEAMBMGByqGSM49AgEGCCqGSM49AwEHBG0wawIBAQQghaVZXElSEGEojFKF\nOU0JCpxWUWHvWQUR81gwWrOp76ShRANCAATi1Ib2K+YR3AckD8wxypWef7pw5PRw\ntBaB3RDPyE7IjHZC6yu1DbcXoCdtaw+F5DM+4zpl59n5ZaIy/Yl1BdIy\n-----END PRIVATE KEY-----')
def test_1(self):
# C(0, 2s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_pub=self.static_pub,
static_priv=self.static_priv)
self.assertEqual(hexlify(z),
b"3960a1101d1193cbaffef4cc7202ebff783c22c6d2e0d5d530ffc66dc197ea9c")
def test_2(self):
# C(2e, 2s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_pub=self.static_pub,
static_priv=self.static_priv,
eph_pub=self.eph_pub,
eph_priv=self.eph_priv)
self.assertEqual(hexlify(z),
b"7447b733d40c8fab2c633b3dc61e4a8c742f3a6af7e16fb0cc486f5bdb5d6ba2")
def test_3(self):
# C(1e, 2s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_pub=self.static_pub,
static_priv=self.static_priv,
eph_priv=self.eph_priv)
self.assertEqual(hexlify(z),
b"9e977ae45f33bf67f285d064d83e6632bcafe3a7d33fe571233bab4794ace759")
def test_4(self):
# C(1e, 2s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_pub=self.static_pub,
static_priv=self.static_priv,
eph_pub=self.eph_pub)
self.assertEqual(hexlify(z),
b"c9532df6aa7e9dbe5fe85da31ee25ff19c179c88691ec4b8328cc2036dcdadf2")
def test_5(self):
# C(2e, 1s) is not supported
kdf = lambda x: SHA256.new(x).digest()
self.assertRaises(ValueError,
key_agreement,
kdf=kdf,
static_priv=self.static_priv,
eph_pub=self.eph_pub,
eph_priv=self.eph_priv)
def test_6(self):
# C(2e, 1s) is not supported
kdf = lambda x: SHA256.new(x).digest()
self.assertRaises(ValueError,
key_agreement,
kdf=kdf,
static_pub=self.static_pub,
eph_pub=self.eph_pub,
eph_priv=self.eph_priv)
def test_7(self):
# C(2e, 0)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
eph_pub=self.eph_pub,
eph_priv=self.eph_priv)
self.assertEqual(hexlify(z),
b"feb257ebe063078b1391aac07913283d7b642ad7df61b46dfc9cd6f420bb896a")
def test_8(self):
# C(1e, 1s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_priv=self.static_priv,
eph_pub=self.eph_pub)
self.assertEqual(hexlify(z),
b"ee4dc995117476ed57fd17ff0ed44e9f0466d46b929443bc0db9380317583b04")
def test_9(self):
# C(1e, 1s)
kdf = lambda x: SHA256.new(x).digest()
z = key_agreement(
kdf=kdf,
static_pub=self.static_pub,
eph_priv=self.eph_priv)
self.assertEqual(hexlify(z),
b"2351cc2014f7c40468fa072b5d30f706eeaeef7507311cd8e59bab3b43f03c51")
def test_10(self):
# No private (local) keys
kdf = lambda x: SHA256.new(x).digest()
self.assertRaises(ValueError,
key_agreement,
kdf=kdf,
static_pub=self.static_pub,
eph_pub=self.eph_pub)
def test_11(self):
# No public (peer) keys
kdf = lambda x: SHA256.new(x).digest()
self.assertRaises(ValueError,
key_agreement,
kdf=kdf,
static_priv=self.static_priv,
eph_priv=self.eph_priv)
def test_12(self):
# failure if kdf is missing
self.assertRaises(ValueError,
key_agreement,
static_pub=self.static_pub,
static_priv=self.static_priv)
class X25519_Tests(unittest.TestCase):
def test_rfc7748_1(self):
tvs = (
("a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4",
"e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c",
"c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552"),
("4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d",
"e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a493",
"95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957"),
)
for tv1, tv2, tv3 in tvs:
priv_key = DH.import_x25519_private_key(unhexlify(tv1))
pub_key = DH.import_x25519_public_key(unhexlify(tv2))
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(result, unhexlify(tv3))
def test_rfc7748_2(self):
k = unhexlify("0900000000000000000000000000000000000000000000000000000000000000")
priv_key = DH.import_x25519_private_key(k)
pub_key = DH.import_x25519_public_key(k)
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(
result,
unhexlify("422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079")
)
for _ in range(999):
priv_key = DH.import_x25519_private_key(result)
pub_key = DH.import_x25519_public_key(k)
k = result
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(
result,
unhexlify("684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51")
)
def test_rfc7748_3(self):
tv1 = "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a"
tv2 = "8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a"
tv3 = "5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb"
tv4 = "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f"
tv5 = "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742"
alice_priv_key = DH.import_x25519_private_key(unhexlify(tv1))
alice_pub_key = DH.import_x25519_public_key(unhexlify(tv2))
bob_priv_key = DH.import_x25519_private_key(unhexlify(tv3))
bob_pub_key = DH.import_x25519_public_key(unhexlify(tv4))
secret = unhexlify(tv5)
result1 = key_agreement(static_pub=alice_pub_key,
static_priv=bob_priv_key,
kdf=lambda x: x)
result2 = key_agreement(static_pub=bob_pub_key,
static_priv=alice_priv_key,
kdf=lambda x: x)
self.assertEqual(result1, secret)
self.assertEqual(result2, secret)
def test_weak(self):
weak_keys = (
"0000000000000000000000000000000000000000000000000000000000000000",
"0100000000000000000000000000000000000000000000000000000000000000",
"e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800",
"5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157",
"ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
"edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
"eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f",
# The implementation will accept these value, but only because
# it will set the MSB to zero (as required by RFC7748, Section 5),
# therefore leading to another public key (and to a point which is
# not of low order anymore).
# "cdeb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b880",
# "4c9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f11d7",
# "d9ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
# "daffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
# "dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
)
for x in weak_keys:
self.assertRaises(ValueError,
DH.import_x25519_public_key,
unhexlify(x))
class X448_Tests(unittest.TestCase):
def test_rfc7748_1(self):
tvs = (
("3d262fddf9ec8e88495266fea19a34d28882acef045104d0d1aae121700a779c984c24f8cdd78fbff44943eba368f54b29259a4f1c600ad3",
"06fce640fa3487bfda5f6cf2d5263f8aad88334cbd07437f020f08f9814dc031ddbdc38c19c6da2583fa5429db94ada18aa7a7fb4ef8a086",
"ce3e4ff95a60dc6697da1db1d85e6afbdf79b50a2412d7546d5f239fe14fbaadeb445fc66a01b0779d98223961111e21766282f73dd96b6f"),
("203d494428b8399352665ddca42f9de8fef600908e0d461cb021f8c538345dd77c3e4806e25f46d3315c44e0a5b4371282dd2c8d5be3095f",
"0fbcc2f993cd56d3305b0b7d9e55d4c1a8fb5dbb52f8e9a1e9b6201b165d015894e56c4d3570bee52fe205e28a78b91cdfbde71ce8d157db",
"884a02576239ff7a2f2f63b2db6a9ff37047ac13568e1e30fe63c4a7ad1b3ee3a5700df34321d62077e63633c575c1c954514e99da7c179d"),
)
for tv1, tv2, tv3 in tvs:
priv_key = DH.import_x448_private_key(unhexlify(tv1))
pub_key = DH.import_x448_public_key(unhexlify(tv2))
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(result, unhexlify(tv3))
def test_rfc7748_2(self):
k = unhexlify("0500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000")
priv_key = DH.import_x448_private_key(k)
pub_key = DH.import_x448_public_key(k)
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(
result,
unhexlify("3f482c8a9f19b01e6c46ee9711d9dc14fd4bf67af30765c2ae2b846a4d23a8cd0db897086239492caf350b51f833868b9bc2b3bca9cf4113")
)
for _ in range(999):
priv_key = DH.import_x448_private_key(result)
pub_key = DH.import_x448_public_key(k)
k = result
result = key_agreement(static_pub=pub_key,
static_priv=priv_key,
kdf=lambda x: x)
self.assertEqual(
result,
unhexlify("aa3b4749d55b9daf1e5b00288826c467274ce3ebbdd5c17b975e09d4af6c67cf10d087202db88286e2b79fceea3ec353ef54faa26e219f38")
)
def test_rfc7748_3(self):
tv1 = "9a8f4925d1519f5775cf46b04b5800d4ee9ee8bae8bc5565d498c28dd9c9baf574a9419744897391006382a6f127ab1d9ac2d8c0a598726b"
tv2 = "9b08f7cc31b7e3e67d22d5aea121074a273bd2b83de09c63faa73d2c22c5d9bbc836647241d953d40c5b12da88120d53177f80e532c41fa0"
tv3 = "1c306a7ac2a0e2e0990b294470cba339e6453772b075811d8fad0d1d6927c120bb5ee8972b0d3e21374c9c921b09d1b0366f10b65173992d"
tv4 = "3eb7a829b0cd20f5bcfc0b599b6feccf6da4627107bdb0d4f345b43027d8b972fc3e34fb4232a13ca706dcb57aec3dae07bdc1c67bf33609"
tv5 = "07fff4181ac6cc95ec1c16a94a0f74d12da232ce40a77552281d282bb60c0b56fd2464c335543936521c24403085d59a449a5037514a879d"
alice_priv_key = DH.import_x448_private_key(unhexlify(tv1))
alice_pub_key = DH.import_x448_public_key(unhexlify(tv2))
bob_priv_key = DH.import_x448_private_key(unhexlify(tv3))
bob_pub_key = DH.import_x448_public_key(unhexlify(tv4))
secret = unhexlify(tv5)
result1 = key_agreement(static_pub=alice_pub_key,
static_priv=bob_priv_key,
kdf=lambda x: x)
result2 = key_agreement(static_pub=bob_pub_key,
static_priv=alice_priv_key,
kdf=lambda x: x)
self.assertEqual(result1, secret)
self.assertEqual(result2, secret)
def test_weak(self):
weak_keys = (
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
"fefffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffeffffffffffffffffffffffffffffffffffffffffffffffffffffff",
"00000000000000000000000000000000000000000000000000000000ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
)
for x in weak_keys:
self.assertRaises(ValueError,
DH.import_x448_public_key,
unhexlify(x))
class TestVectorsXECDHWycheproof(unittest.TestCase):
desc = "Wycheproof XECDH tests"
def add_tests_hex(self, filename):
def encoding(g):
return g['type']
def private(u):
return unhexlify(u['private'])
result = load_test_vectors_wycheproof(("Protocol", "wycheproof"),
filename,
"Wycheproof ECDH (%s)"
% filename,
group_tag={'encoding': encoding},
unit_tag={'private': private}
)
self.tv += result
def add_tests_ascii(self, filename):
def encoding(g):
return g['type']
def public(u):
return u['public']
def private(u):
return u['private']
result = load_test_vectors_wycheproof(("Protocol", "wycheproof"),
filename,
"Wycheproof ECDH (%s)"
% filename,
group_tag={'encoding': encoding},
unit_tag={'public': public,
'private': private}
)
self.tv += result
def setUp(self):
self.tv = []
self.desc = None
self.add_tests_hex("x25519_test.json")
self.add_tests_hex("x25519_asn_test.json")
self.add_tests_ascii("x25519_pem_test.json")
self.add_tests_ascii("x25519_jwk_test.json")
def shortDescription(self):
return self.desc
def test_verify(self, tv):
if tv.encoding == "XdhComp":
try:
public_key = import_x25519_public_key(tv.public)
except ValueError as e:
assert tv.valid
assert tv.warning
assert "LowOrderPublic" in tv.flags
assert "Invalid Curve25519" in str(e)
return
private_key = import_x25519_private_key(tv.private)
elif tv.encoding in ("XdhAsnComp", "XdhPemComp"):
try:
public_key = ECC.import_key(tv.public)
private_key = ECC.import_key(tv.private)
except ECC.UnsupportedEccFeature as e:
assert not tv.valid
assert "Unsupported ECC" in str(e)
return
except ValueError:
assert tv.valid
assert tv.warning
assert "LowOrderPublic" in tv.flags
return
elif tv.encoding == "XdhJwkComp":
if 'y' in tv.public:
return
if 'x' not in tv.public:
return
if 'x' not in tv.private:
return
if tv.public.get('kty') != 'OKP':
return
if tv.public.get('crv') != 'X25519':
return
if tv.private.get('crv') != 'X25519':
return
def base64url_decode(input_str):
input_str = input_str.replace('-', '+').replace('_', '/')
padding = 4 - (len(input_str) % 4)
if padding != 4:
input_str += '=' * padding
decoded_bytes = base64.b64decode(input_str)
return decoded_bytes
jwk_public = base64url_decode(tv.public['x'])
jwk_private = base64url_decode(tv.private['d'])
try:
public_key = import_x25519_public_key(jwk_public)
private_key = import_x25519_private_key(jwk_private)
except ValueError as e:
if tv.valid:
assert tv.warning
assert "LowOrderPublic" in tv.flags
assert "Invalid Curve25519" in str(e)
return
else:
assert "Incorrect length" in str(e)
return
except ValueError:
assert tv.valid
else:
raise ValueError("Unknown encoding", tv.encoding)
try:
z = key_agreement(static_pub=public_key,
static_priv=private_key,
kdf=lambda x: x)
except ValueError:
assert not tv.valid
except TypeError as e:
assert not tv.valid
assert "incompatible curve" in str(e)
else:
self.assertEqual(z, tv.shared)
assert tv.valid
def runTest(self):
for tv in self.tv:
self.desc = "Wycheproof XECDH Verify Test #%d (%s, %s)" % (tv.id, tv.comment, tv.filename)
self.test_verify(tv)
def get_tests(config={}):
tests = []
tests += list_test_cases(FIPS_ECDH_Tests_KAT)
tests += [TestVectorsECDHWycheproof()]
tests += list_test_cases(ECDH_Tests)
tests += list_test_cases(X25519_Tests)
tests += list_test_cases(X448_Tests)
tests += [TestVectorsXECDHWycheproof()]
slow_tests = config.get('slow_tests')
if slow_tests:
pass
return tests
if __name__ == '__main__':
def suite():
return unittest.TestSuite(get_tests())
unittest.main(defaultTest='suite')