pkcs1.py
14 KB
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
# -*- coding: utf-8 -*-
#
# Copyright 2011 Sybren A. Stüvel <sybren@stuvel.eu>
#
# 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
#
# https://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.
"""Functions for PKCS#1 version 1.5 encryption and signing
This module implements certain functionality from PKCS#1 version 1.5. For a
very clear example, read http://www.di-mgt.com.au/rsa_alg.html#pkcs1schemes
At least 8 bytes of random padding is used when encrypting a message. This makes
these methods much more secure than the ones in the ``rsa`` module.
WARNING: this module leaks information when decryption fails. The exceptions
that are raised contain the Python traceback information, which can be used to
deduce where in the process the failure occurred. DO NOT PASS SUCH INFORMATION
to your users.
"""
import hashlib
import os
from rsa._compat import range
from rsa import common, transform, core
# ASN.1 codes that describe the hash algorithm used.
HASH_ASN1 = {
'MD5': b'\x30\x20\x30\x0c\x06\x08\x2a\x86\x48\x86\xf7\x0d\x02\x05\x05\x00\x04\x10',
'SHA-1': b'\x30\x21\x30\x09\x06\x05\x2b\x0e\x03\x02\x1a\x05\x00\x04\x14',
'SHA-224': b'\x30\x2d\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x04\x05\x00\x04\x1c',
'SHA-256': b'\x30\x31\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x01\x05\x00\x04\x20',
'SHA-384': b'\x30\x41\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x02\x05\x00\x04\x30',
'SHA-512': b'\x30\x51\x30\x0d\x06\x09\x60\x86\x48\x01\x65\x03\x04\x02\x03\x05\x00\x04\x40',
}
HASH_METHODS = {
'MD5': hashlib.md5,
'SHA-1': hashlib.sha1,
'SHA-224': hashlib.sha224,
'SHA-256': hashlib.sha256,
'SHA-384': hashlib.sha384,
'SHA-512': hashlib.sha512,
}
class CryptoError(Exception):
"""Base class for all exceptions in this module."""
class DecryptionError(CryptoError):
"""Raised when decryption fails."""
class VerificationError(CryptoError):
"""Raised when verification fails."""
def _pad_for_encryption(message, target_length):
r"""Pads the message for encryption, returning the padded message.
:return: 00 02 RANDOM_DATA 00 MESSAGE
>>> block = _pad_for_encryption(b'hello', 16)
>>> len(block)
16
>>> block[0:2]
b'\x00\x02'
>>> block[-6:]
b'\x00hello'
"""
max_msglength = target_length - 11
msglength = len(message)
if msglength > max_msglength:
raise OverflowError('%i bytes needed for message, but there is only'
' space for %i' % (msglength, max_msglength))
# Get random padding
padding = b''
padding_length = target_length - msglength - 3
# We remove 0-bytes, so we'll end up with less padding than we've asked for,
# so keep adding data until we're at the correct length.
while len(padding) < padding_length:
needed_bytes = padding_length - len(padding)
# Always read at least 8 bytes more than we need, and trim off the rest
# after removing the 0-bytes. This increases the chance of getting
# enough bytes, especially when needed_bytes is small
new_padding = os.urandom(needed_bytes + 5)
new_padding = new_padding.replace(b'\x00', b'')
padding = padding + new_padding[:needed_bytes]
assert len(padding) == padding_length
return b''.join([b'\x00\x02',
padding,
b'\x00',
message])
def _pad_for_signing(message, target_length):
r"""Pads the message for signing, returning the padded message.
The padding is always a repetition of FF bytes.
:return: 00 01 PADDING 00 MESSAGE
>>> block = _pad_for_signing(b'hello', 16)
>>> len(block)
16
>>> block[0:2]
b'\x00\x01'
>>> block[-6:]
b'\x00hello'
>>> block[2:-6]
b'\xff\xff\xff\xff\xff\xff\xff\xff'
"""
max_msglength = target_length - 11
msglength = len(message)
if msglength > max_msglength:
raise OverflowError('%i bytes needed for message, but there is only'
' space for %i' % (msglength, max_msglength))
padding_length = target_length - msglength - 3
return b''.join([b'\x00\x01',
padding_length * b'\xff',
b'\x00',
message])
def encrypt(message, pub_key):
"""Encrypts the given message using PKCS#1 v1.5
:param message: the message to encrypt. Must be a byte string no longer than
``k-11`` bytes, where ``k`` is the number of bytes needed to encode
the ``n`` component of the public key.
:param pub_key: the :py:class:`rsa.PublicKey` to encrypt with.
:raise OverflowError: when the message is too large to fit in the padded
block.
>>> from rsa import key, common
>>> (pub_key, priv_key) = key.newkeys(256)
>>> message = b'hello'
>>> crypto = encrypt(message, pub_key)
The crypto text should be just as long as the public key 'n' component:
>>> len(crypto) == common.byte_size(pub_key.n)
True
"""
keylength = common.byte_size(pub_key.n)
padded = _pad_for_encryption(message, keylength)
payload = transform.bytes2int(padded)
encrypted = core.encrypt_int(payload, pub_key.e, pub_key.n)
block = transform.int2bytes(encrypted, keylength)
return block
def decrypt(crypto, priv_key):
r"""Decrypts the given message using PKCS#1 v1.5
The decryption is considered 'failed' when the resulting cleartext doesn't
start with the bytes 00 02, or when the 00 byte between the padding and
the message cannot be found.
:param crypto: the crypto text as returned by :py:func:`rsa.encrypt`
:param priv_key: the :py:class:`rsa.PrivateKey` to decrypt with.
:raise DecryptionError: when the decryption fails. No details are given as
to why the code thinks the decryption fails, as this would leak
information about the private key.
>>> import rsa
>>> (pub_key, priv_key) = rsa.newkeys(256)
It works with strings:
>>> crypto = encrypt(b'hello', pub_key)
>>> decrypt(crypto, priv_key)
b'hello'
And with binary data:
>>> crypto = encrypt(b'\x00\x00\x00\x00\x01', pub_key)
>>> decrypt(crypto, priv_key)
b'\x00\x00\x00\x00\x01'
Altering the encrypted information will *likely* cause a
:py:class:`rsa.pkcs1.DecryptionError`. If you want to be *sure*, use
:py:func:`rsa.sign`.
.. warning::
Never display the stack trace of a
:py:class:`rsa.pkcs1.DecryptionError` exception. It shows where in the
code the exception occurred, and thus leaks information about the key.
It's only a tiny bit of information, but every bit makes cracking the
keys easier.
>>> crypto = encrypt(b'hello', pub_key)
>>> crypto = crypto[0:5] + b'X' + crypto[6:] # change a byte
>>> decrypt(crypto, priv_key)
Traceback (most recent call last):
...
rsa.pkcs1.DecryptionError: Decryption failed
"""
blocksize = common.byte_size(priv_key.n)
encrypted = transform.bytes2int(crypto)
decrypted = priv_key.blinded_decrypt(encrypted)
cleartext = transform.int2bytes(decrypted, blocksize)
# If we can't find the cleartext marker, decryption failed.
if cleartext[0:2] != b'\x00\x02':
raise DecryptionError('Decryption failed')
# Find the 00 separator between the padding and the message
try:
sep_idx = cleartext.index(b'\x00', 2)
except ValueError:
raise DecryptionError('Decryption failed')
return cleartext[sep_idx + 1:]
def sign_hash(hash_value, priv_key, hash_method):
"""Signs a precomputed hash with the private key.
Hashes the message, then signs the hash with the given key. This is known
as a "detached signature", because the message itself isn't altered.
:param hash_value: A precomputed hash to sign (ignores message). Should be set to
None if needing to hash and sign message.
:param priv_key: the :py:class:`rsa.PrivateKey` to sign with
:param hash_method: the hash method used on the message. Use 'MD5', 'SHA-1',
'SHA-224', SHA-256', 'SHA-384' or 'SHA-512'.
:return: a message signature block.
:raise OverflowError: if the private key is too small to contain the
requested hash.
"""
# Get the ASN1 code for this hash method
if hash_method not in HASH_ASN1:
raise ValueError('Invalid hash method: %s' % hash_method)
asn1code = HASH_ASN1[hash_method]
# Encrypt the hash with the private key
cleartext = asn1code + hash_value
keylength = common.byte_size(priv_key.n)
padded = _pad_for_signing(cleartext, keylength)
payload = transform.bytes2int(padded)
encrypted = priv_key.blinded_encrypt(payload)
block = transform.int2bytes(encrypted, keylength)
return block
def sign(message, priv_key, hash_method):
"""Signs the message with the private key.
Hashes the message, then signs the hash with the given key. This is known
as a "detached signature", because the message itself isn't altered.
:param message: the message to sign. Can be an 8-bit string or a file-like
object. If ``message`` has a ``read()`` method, it is assumed to be a
file-like object.
:param priv_key: the :py:class:`rsa.PrivateKey` to sign with
:param hash_method: the hash method used on the message. Use 'MD5', 'SHA-1',
'SHA-224', SHA-256', 'SHA-384' or 'SHA-512'.
:return: a message signature block.
:raise OverflowError: if the private key is too small to contain the
requested hash.
"""
msg_hash = compute_hash(message, hash_method)
return sign_hash(msg_hash, priv_key, hash_method)
def verify(message, signature, pub_key):
"""Verifies that the signature matches the message.
The hash method is detected automatically from the signature.
:param message: the signed message. Can be an 8-bit string or a file-like
object. If ``message`` has a ``read()`` method, it is assumed to be a
file-like object.
:param signature: the signature block, as created with :py:func:`rsa.sign`.
:param pub_key: the :py:class:`rsa.PublicKey` of the person signing the message.
:raise VerificationError: when the signature doesn't match the message.
:returns: the name of the used hash.
"""
keylength = common.byte_size(pub_key.n)
encrypted = transform.bytes2int(signature)
decrypted = core.decrypt_int(encrypted, pub_key.e, pub_key.n)
clearsig = transform.int2bytes(decrypted, keylength)
# Get the hash method
method_name = _find_method_hash(clearsig)
message_hash = compute_hash(message, method_name)
# Reconstruct the expected padded hash
cleartext = HASH_ASN1[method_name] + message_hash
expected = _pad_for_signing(cleartext, keylength)
# Compare with the signed one
if expected != clearsig:
raise VerificationError('Verification failed')
return method_name
def find_signature_hash(signature, pub_key):
"""Returns the hash name detected from the signature.
If you also want to verify the message, use :py:func:`rsa.verify()` instead.
It also returns the name of the used hash.
:param signature: the signature block, as created with :py:func:`rsa.sign`.
:param pub_key: the :py:class:`rsa.PublicKey` of the person signing the message.
:returns: the name of the used hash.
"""
keylength = common.byte_size(pub_key.n)
encrypted = transform.bytes2int(signature)
decrypted = core.decrypt_int(encrypted, pub_key.e, pub_key.n)
clearsig = transform.int2bytes(decrypted, keylength)
return _find_method_hash(clearsig)
def yield_fixedblocks(infile, blocksize):
"""Generator, yields each block of ``blocksize`` bytes in the input file.
:param infile: file to read and separate in blocks.
:param blocksize: block size in bytes.
:returns: a generator that yields the contents of each block
"""
while True:
block = infile.read(blocksize)
read_bytes = len(block)
if read_bytes == 0:
break
yield block
if read_bytes < blocksize:
break
def compute_hash(message, method_name):
"""Returns the message digest.
:param message: the signed message. Can be an 8-bit string or a file-like
object. If ``message`` has a ``read()`` method, it is assumed to be a
file-like object.
:param method_name: the hash method, must be a key of
:py:const:`HASH_METHODS`.
"""
if method_name not in HASH_METHODS:
raise ValueError('Invalid hash method: %s' % method_name)
method = HASH_METHODS[method_name]
hasher = method()
if hasattr(message, 'read') and hasattr(message.read, '__call__'):
# read as 1K blocks
for block in yield_fixedblocks(message, 1024):
hasher.update(block)
else:
# hash the message object itself.
hasher.update(message)
return hasher.digest()
def _find_method_hash(clearsig):
"""Finds the hash method.
:param clearsig: full padded ASN1 and hash.
:return: the used hash method.
:raise VerificationFailed: when the hash method cannot be found
"""
for (hashname, asn1code) in HASH_ASN1.items():
if asn1code in clearsig:
return hashname
raise VerificationError('Verification failed')
__all__ = ['encrypt', 'decrypt', 'sign', 'verify',
'DecryptionError', 'VerificationError', 'CryptoError']
if __name__ == '__main__':
print('Running doctests 1000x or until failure')
import doctest
for count in range(1000):
(failures, tests) = doctest.testmod()
if failures:
break
if count % 100 == 0 and count:
print('%i times' % count)
print('Doctests done')