# -*- coding: utf-8 -*-
#
# SelfTest/Cipher/test_pkcs1_oaep.py: Self-test for PKCS#1 OAEP encryption
#
# ===================================================================
# The contents of this file are dedicated to the public domain. To
# the extent that dedication to the public domain is not available,
# everyone is granted a worldwide, perpetual, royalty-free,
# non-exclusive license to exercise all rights associated with the
# contents of this file for any purpose whatsoever.
# No rights are reserved.
#
# THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
# EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
# MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
# NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
# BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
# ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
# CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
# SOFTWARE.
# ===================================================================
import unittest
from Crypto.SelfTest.st_common import list_test_cases, a2b_hex, b2a_hex
from Crypto.Util.py3compat import b, bchr
from Crypto.PublicKey import RSA
from Crypto.Cipher import PKCS1_OAEP as PKCS
from Crypto.Hash import MD2,MD5,SHA1,SHA256,RIPEMD160
from Crypto import Random
def rws(t):
"""Remove white spaces, tabs, and new lines from a string"""
for c in ['\n', '\t', ' ']:
t = t.replace(c,'')
return t
def t2b(t):
"""Convert a text string with bytes in hex form to a byte string"""
clean = rws(t)
if len(clean)%2 == 1:
raise ValueError("Even number of characters expected")
return a2b_hex(clean)
class PKCS1_OAEP_Tests(unittest.TestCase):
def setUp(self):
self.rng = Random.new().read
self.key1024 = RSA.generate(1024, self.rng)
# List of tuples with test data for PKCS#1 OAEP
# Each tuple is made up by:
# Item #0: dictionary with RSA key component
# Item #1: plaintext
# Item #2: ciphertext
# Item #3: random data (=seed)
# Item #4: hash object
_testData = (
#
# From in oaep-int.txt to be found in
# ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-1-vec.zip
#
(
# Private key
{
'n':'''bb f8 2f 09 06 82 ce 9c 23 38 ac 2b 9d a8 71 f7
36 8d 07 ee d4 10 43 a4 40 d6 b6 f0 74 54 f5 1f
b8 df ba af 03 5c 02 ab 61 ea 48 ce eb 6f cd 48
76 ed 52 0d 60 e1 ec 46 19 71 9d 8a 5b 8b 80 7f
af b8 e0 a3 df c7 37 72 3e e6 b4 b7 d9 3a 25 84
ee 6a 64 9d 06 09 53 74 88 34 b2 45 45 98 39 4e
e0 aa b1 2d 7b 61 a5 1f 52 7a 9a 41 f6 c1 68 7f
e2 53 72 98 ca 2a 8f 59 46 f8 e5 fd 09 1d bd cb''',
# Public key
'e':'11',
# In the test vector, only p and q were given...
# d is computed offline as e^{-1} mod (p-1)(q-1)
'd':'''a5dafc5341faf289c4b988db30c1cdf83f31251e0
668b42784813801579641b29410b3c7998d6bc465745e5c3
92669d6870da2c082a939e37fdcb82ec93edac97ff3ad595
0accfbc111c76f1a9529444e56aaf68c56c092cd38dc3bef
5d20a939926ed4f74a13eddfbe1a1cecc4894af9428c2b7b
8883fe4463a4bc85b1cb3c1'''
}
,
# Plaintext
'''d4 36 e9 95 69 fd 32 a7 c8 a0 5b bc 90 d3 2c 49''',
# Ciphertext
'''12 53 e0 4d c0 a5 39 7b b4 4a 7a b8 7e 9b f2 a0
39 a3 3d 1e 99 6f c8 2a 94 cc d3 00 74 c9 5d f7
63 72 20 17 06 9e 52 68 da 5d 1c 0b 4f 87 2c f6
53 c1 1d f8 23 14 a6 79 68 df ea e2 8d ef 04 bb
6d 84 b1 c3 1d 65 4a 19 70 e5 78 3b d6 eb 96 a0
24 c2 ca 2f 4a 90 fe 9f 2e f5 c9 c1 40 e5 bb 48
da 95 36 ad 87 00 c8 4f c9 13 0a de a7 4e 55 8d
51 a7 4d df 85 d8 b5 0d e9 68 38 d6 06 3e 09 55''',
# Random
'''aa fd 12 f6 59 ca e6 34 89 b4 79 e5 07 6d de c2
f0 6c b5 8f''',
# Hash
SHA1,
),
#
# From in oaep-vect.txt to be found in Example 1.1
# ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-1-vec.zip
#
(
# Private key
{
'n':'''a8 b3 b2 84 af 8e b5 0b 38 70 34 a8 60 f1 46 c4
91 9f 31 87 63 cd 6c 55 98 c8 ae 48 11 a1 e0 ab
c4 c7 e0 b0 82 d6 93 a5 e7 fc ed 67 5c f4 66 85
12 77 2c 0c bc 64 a7 42 c6 c6 30 f5 33 c8 cc 72
f6 2a e8 33 c4 0b f2 58 42 e9 84 bb 78 bd bf 97
c0 10 7d 55 bd b6 62 f5 c4 e0 fa b9 84 5c b5 14
8e f7 39 2d d3 aa ff 93 ae 1e 6b 66 7b b3 d4 24
76 16 d4 f5 ba 10 d4 cf d2 26 de 88 d3 9f 16 fb''',
'e':'''01 00 01''',
'd':'''53 33 9c fd b7 9f c8 46 6a 65 5c 73 16 ac a8 5c
55 fd 8f 6d d8 98 fd af 11 95 17 ef 4f 52 e8 fd
8e 25 8d f9 3f ee 18 0f a0 e4 ab 29 69 3c d8 3b
15 2a 55 3d 4a c4 d1 81 2b 8b 9f a5 af 0e 7f 55
fe 73 04 df 41 57 09 26 f3 31 1f 15 c4 d6 5a 73
2c 48 31 16 ee 3d 3d 2d 0a f3 54 9a d9 bf 7c bf
b7 8a d8 84 f8 4d 5b eb 04 72 4d c7 36 9b 31 de
f3 7d 0c f5 39 e9 cf cd d3 de 65 37 29 ea d5 d1 '''
}
,
# Plaintext
'''66 28 19 4e 12 07 3d b0 3b a9 4c da 9e f9 53 23
97 d5 0d ba 79 b9 87 00 4a fe fe 34''',
# Ciphertext
'''35 4f e6 7b 4a 12 6d 5d 35 fe 36 c7 77 79 1a 3f
7b a1 3d ef 48 4e 2d 39 08 af f7 22 fa d4 68 fb
21 69 6d e9 5d 0b e9 11 c2 d3 17 4f 8a fc c2 01
03 5f 7b 6d 8e 69 40 2d e5 45 16 18 c2 1a 53 5f
a9 d7 bf c5 b8 dd 9f c2 43 f8 cf 92 7d b3 13 22
d6 e8 81 ea a9 1a 99 61 70 e6 57 a0 5a 26 64 26
d9 8c 88 00 3f 84 77 c1 22 70 94 a0 d9 fa 1e 8c
40 24 30 9c e1 ec cc b5 21 00 35 d4 7a c7 2e 8a''',
# Random
'''18 b7 76 ea 21 06 9d 69 77 6a 33 e9 6b ad 48 e1
dd a0 a5 ef''',
SHA1
),
#
# From in oaep-vect.txt to be found in Example 2.1
# ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-1-vec.zip
#
(
# Private key
{
'n':'''01 94 7c 7f ce 90 42 5f 47 27 9e 70 85 1f 25 d5
e6 23 16 fe 8a 1d f1 93 71 e3 e6 28 e2 60 54 3e
49 01 ef 60 81 f6 8c 0b 81 41 19 0d 2a e8 da ba
7d 12 50 ec 6d b6 36 e9 44 ec 37 22 87 7c 7c 1d
0a 67 f1 4b 16 94 c5 f0 37 94 51 a4 3e 49 a3 2d
de 83 67 0b 73 da 91 a1 c9 9b c2 3b 43 6a 60 05
5c 61 0f 0b af 99 c1 a0 79 56 5b 95 a3 f1 52 66
32 d1 d4 da 60 f2 0e da 25 e6 53 c4 f0 02 76 6f
45''',
'e':'''01 00 01''',
'd':'''08 23 f2 0f ad b5 da 89 08 8a 9d 00 89 3e 21 fa
4a 1b 11 fb c9 3c 64 a3 be 0b aa ea 97 fb 3b 93
c3 ff 71 37 04 c1 9c 96 3c 1d 10 7a ae 99 05 47
39 f7 9e 02 e1 86 de 86 f8 7a 6d de fe a6 d8 cc
d1 d3 c8 1a 47 bf a7 25 5b e2 06 01 a4 a4 b2 f0
8a 16 7b 5e 27 9d 71 5b 1b 45 5b dd 7e ab 24 59
41 d9 76 8b 9a ce fb 3c cd a5 95 2d a3 ce e7 25
25 b4 50 16 63 a8 ee 15 c9 e9 92 d9 24 62 fe 39'''
},
# Plaintext
'''8f f0 0c aa 60 5c 70 28 30 63 4d 9a 6c 3d 42 c6
52 b5 8c f1 d9 2f ec 57 0b ee e7''',
# Ciphertext
'''01 81 af 89 22 b9 fc b4 d7 9d 92 eb e1 98 15 99
2f c0 c1 43 9d 8b cd 49 13 98 a0 f4 ad 3a 32 9a
5b d9 38 55 60 db 53 26 83 c8 b7 da 04 e4 b1 2a
ed 6a ac df 47 1c 34 c9 cd a8 91 ad dc c2 df 34
56 65 3a a6 38 2e 9a e5 9b 54 45 52 57 eb 09 9d
56 2b be 10 45 3f 2b 6d 13 c5 9c 02 e1 0f 1f 8a
bb 5d a0 d0 57 09 32 da cf 2d 09 01 db 72 9d 0f
ef cc 05 4e 70 96 8e a5 40 c8 1b 04 bc ae fe 72
0e''',
# Random
'''8c 40 7b 5e c2 89 9e 50 99 c5 3e 8c e7 93 bf 94
e7 1b 17 82''',
SHA1
),
#
# From in oaep-vect.txt to be found in Example 10.1
# ftp://ftp.rsasecurity.com/pub/pkcs/pkcs-1/pkcs-1v2-1-vec.zip
#
(
# Private key
{
'n':'''ae 45 ed 56 01 ce c6 b8 cc 05 f8 03 93 5c 67 4d
db e0 d7 5c 4c 09 fd 79 51 fc 6b 0c ae c3 13 a8
df 39 97 0c 51 8b ff ba 5e d6 8f 3f 0d 7f 22 a4
02 9d 41 3f 1a e0 7e 4e be 9e 41 77 ce 23 e7 f5
40 4b 56 9e 4e e1 bd cf 3c 1f b0 3e f1 13 80 2d
4f 85 5e b9 b5 13 4b 5a 7c 80 85 ad ca e6 fa 2f
a1 41 7e c3 76 3b e1 71 b0 c6 2b 76 0e de 23 c1
2a d9 2b 98 08 84 c6 41 f5 a8 fa c2 6b da d4 a0
33 81 a2 2f e1 b7 54 88 50 94 c8 25 06 d4 01 9a
53 5a 28 6a fe b2 71 bb 9b a5 92 de 18 dc f6 00
c2 ae ea e5 6e 02 f7 cf 79 fc 14 cf 3b dc 7c d8
4f eb bb f9 50 ca 90 30 4b 22 19 a7 aa 06 3a ef
a2 c3 c1 98 0e 56 0c d6 4a fe 77 95 85 b6 10 76
57 b9 57 85 7e fd e6 01 09 88 ab 7d e4 17 fc 88
d8 f3 84 c4 e6 e7 2c 3f 94 3e 0c 31 c0 c4 a5 cc
36 f8 79 d8 a3 ac 9d 7d 59 86 0e aa da 6b 83 bb''',
'e':'''01 00 01''',
'd':'''05 6b 04 21 6f e5 f3 54 ac 77 25 0a 4b 6b 0c 85
25 a8 5c 59 b0 bd 80 c5 64 50 a2 2d 5f 43 8e 59
6a 33 3a a8 75 e2 91 dd 43 f4 8c b8 8b 9d 5f c0
d4 99 f9 fc d1 c3 97 f9 af c0 70 cd 9e 39 8c 8d
19 e6 1d b7 c7 41 0a 6b 26 75 df bf 5d 34 5b 80
4d 20 1a dd 50 2d 5c e2 df cb 09 1c e9 99 7b be
be 57 30 6f 38 3e 4d 58 81 03 f0 36 f7 e8 5d 19
34 d1 52 a3 23 e4 a8 db 45 1d 6f 4a 5b 1b 0f 10
2c c1 50 e0 2f ee e2 b8 8d ea 4a d4 c1 ba cc b2
4d 84 07 2d 14 e1 d2 4a 67 71 f7 40 8e e3 05 64
fb 86 d4 39 3a 34 bc f0 b7 88 50 1d 19 33 03 f1
3a 22 84 b0 01 f0 f6 49 ea f7 93 28 d4 ac 5c 43
0a b4 41 49 20 a9 46 0e d1 b7 bc 40 ec 65 3e 87
6d 09 ab c5 09 ae 45 b5 25 19 01 16 a0 c2 61 01
84 82 98 50 9c 1c 3b f3 a4 83 e7 27 40 54 e1 5e
97 07 50 36 e9 89 f6 09 32 80 7b 52 57 75 1e 79'''
},
# Plaintext
'''8b ba 6b f8 2a 6c 0f 86 d5 f1 75 6e 97 95 68 70
b0 89 53 b0 6b 4e b2 05 bc 16 94 ee''',
# Ciphertext
'''53 ea 5d c0 8c d2 60 fb 3b 85 85 67 28 7f a9 15
52 c3 0b 2f eb fb a2 13 f0 ae 87 70 2d 06 8d 19
ba b0 7f e5 74 52 3d fb 42 13 9d 68 c3 c5 af ee
e0 bf e4 cb 79 69 cb f3 82 b8 04 d6 e6 13 96 14
4e 2d 0e 60 74 1f 89 93 c3 01 4b 58 b9 b1 95 7a
8b ab cd 23 af 85 4f 4c 35 6f b1 66 2a a7 2b fc
c7 e5 86 55 9d c4 28 0d 16 0c 12 67 85 a7 23 eb
ee be ff 71 f1 15 94 44 0a ae f8 7d 10 79 3a 87
74 a2 39 d4 a0 4c 87 fe 14 67 b9 da f8 52 08 ec
6c 72 55 79 4a 96 cc 29 14 2f 9a 8b d4 18 e3 c1
fd 67 34 4b 0c d0 82 9d f3 b2 be c6 02 53 19 62
93 c6 b3 4d 3f 75 d3 2f 21 3d d4 5c 62 73 d5 05
ad f4 cc ed 10 57 cb 75 8f c2 6a ee fa 44 12 55
ed 4e 64 c1 99 ee 07 5e 7f 16 64 61 82 fd b4 64
73 9b 68 ab 5d af f0 e6 3e 95 52 01 68 24 f0 54
bf 4d 3c 8c 90 a9 7b b6 b6 55 32 84 eb 42 9f cc''',
# Random
'''47 e1 ab 71 19 fe e5 6c 95 ee 5e aa d8 6f 40 d0
aa 63 bd 33''',
SHA1
),
)
def testEncrypt1(self):
# Verify encryption using all test vectors
for test in self._testData:
# Build the key
comps = [ int(rws(test[0][x]),16) for x in ('n','e') ]
key = RSA.construct(comps)
# RNG that takes its random numbers from a pool given
# at initialization
class randGen:
def __init__(self, data):
self.data = data
self.idx = 0
def __call__(self, N):
r = self.data[self.idx:N]
self.idx += N
return r
# The real test
cipher = PKCS.new(key, test[4], randfunc=randGen(t2b(test[3])))
ct = cipher.encrypt(t2b(test[1]))
self.assertEqual(ct, t2b(test[2]))
def testEncrypt2(self):
# Verify that encryption fails if plaintext is too long
pt = '\x00'*(128-2*20-2+1)
cipher = PKCS.new(self.key1024)
self.assertRaises(ValueError, cipher.encrypt, pt)
def testDecrypt1(self):
# Verify decryption using all test vectors
for test in self._testData:
# Build the key
comps = [ int(rws(test[0][x]),16) for x in ('n','e','d') ]
key = RSA.construct(comps)
# The real test
cipher = PKCS.new(key, test[4])
pt = cipher.decrypt(t2b(test[2]))
self.assertEqual(pt, t2b(test[1]))
def testDecrypt2(self):
# Simplest possible negative tests
for ct_size in (127,128,129):
cipher = PKCS.new(self.key1024)
self.assertRaises(ValueError, cipher.decrypt, bchr(0x00)*ct_size)
def testEncryptDecrypt1(self):
# Encrypt/Decrypt messages of length [0..128-2*20-2]
for pt_len in range(0,128-2*20-2):
pt = self.rng(pt_len)
cipher = PKCS.new(self.key1024)
ct = cipher.encrypt(pt)
pt2 = cipher.decrypt(ct)
self.assertEqual(pt,pt2)
def testEncryptDecrypt2(self):
# Helper function to monitor what's requested from RNG
global asked
def localRng(N):
global asked
asked += N
return self.rng(N)
# Verify that OAEP is friendly to all hashes
for hashmod in (MD2,MD5,SHA1,SHA256,RIPEMD160):
# Verify that encrypt() asks for as many random bytes
# as the hash output size
asked = 0
pt = self.rng(40)
cipher = PKCS.new(self.key1024, hashmod, randfunc=localRng)
ct = cipher.encrypt(pt)
self.assertEqual(cipher.decrypt(ct), pt)
self.assertEqual(asked, hashmod.digest_size)
def testEncryptDecrypt3(self):
# Verify that OAEP supports labels
pt = self.rng(35)
xlabel = self.rng(22)
cipher = PKCS.new(self.key1024, label=xlabel)
ct = cipher.encrypt(pt)
self.assertEqual(cipher.decrypt(ct), pt)
def testEncryptDecrypt4(self):
# Verify that encrypt() uses the custom MGF
global mgfcalls
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