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
440
441
442
443
444
|
.. _hashlib-blake2:
:mod:`hashlib` --- BLAKE2 hash functions
========================================
.. module:: hashlib
:synopsis: BLAKE2 hash function for Python
.. sectionauthor:: Dmitry Chestnykh
.. index::
single: blake2b, blake2s
BLAKE2_ is a cryptographic hash function defined in RFC-7693_ that comes in two
flavors:
* **BLAKE2b**, optimized for 64-bit platforms and produces digests of any size
between 1 and 64 bytes,
* **BLAKE2s**, optimized for 8- to 32-bit platforms and produces digests of any
size between 1 and 32 bytes.
BLAKE2 supports **keyed mode** (a faster and simpler replacement for HMAC_),
**salted hashing**, **personalization**, and **tree hashing**.
Hash objects from this module follow the API of standard library's
:mod:`hashlib` objects.
Module
======
Creating hash objects
---------------------
New hash objects are created by calling constructor functions:
.. function:: blake2b(data=b'', digest_size=64, key=b'', salt=b'', \
person=b'', fanout=1, depth=1, leaf_size=0, node_offset=0, \
node_depth=0, inner_size=0, last_node=False)
.. function:: blake2s(data=b'', digest_size=32, key=b'', salt=b'', \
person=b'', fanout=1, depth=1, leaf_size=0, node_offset=0, \
node_depth=0, inner_size=0, last_node=False)
These functions return the corresponding hash objects for calculating
BLAKE2b or BLAKE2s. They optionally take these general parameters:
* *data*: initial chunk of data to hash, which must be interpretable as buffer
of bytes.
* *digest_size*: size of output digest in bytes.
* *key*: key for keyed hashing (up to 64 bytes for BLAKE2b, up to 32 bytes for
BLAKE2s).
* *salt*: salt for randomized hashing (up to 16 bytes for BLAKE2b, up to 8
bytes for BLAKE2s).
* *person*: personalization string (up to 16 bytes for BLAKE2b, up to 8 bytes
for BLAKE2s).
The following table shows limits for general parameters (in bytes):
======= =========== ======== ========= ===========
Hash digest_size len(key) len(salt) len(person)
======= =========== ======== ========= ===========
BLAKE2b 64 64 16 16
BLAKE2s 32 32 8 8
======= =========== ======== ========= ===========
.. note::
BLAKE2 specification defines constant lengths for salt and personalization
parameters, however, for convenience, this implementation accepts byte
strings of any size up to the specified length. If the length of the
parameter is less than specified, it is padded with zeros, thus, for
example, ``b'salt'`` and ``b'salt\x00'`` is the same value. (This is not
the case for *key*.)
These sizes are available as module `constants`_ described below.
Constructor functions also accept the following tree hashing parameters:
* *fanout*: fanout (0 to 255, 0 if unlimited, 1 in sequential mode).
* *depth*: maximal depth of tree (1 to 255, 255 if unlimited, 1 in
sequential mode).
* *leaf_size*: maximal byte length of leaf (0 to 2**32-1, 0 if unlimited or in
sequential mode).
* *node_offset*: node offset (0 to 2**64-1 for BLAKE2b, 0 to 2**48-1 for
BLAKE2s, 0 for the first, leftmost, leaf, or in sequential mode).
* *node_depth*: node depth (0 to 255, 0 for leaves, or in sequential mode).
* *inner_size*: inner digest size (0 to 64 for BLAKE2b, 0 to 32 for
BLAKE2s, 0 in sequential mode).
* *last_node*: boolean indicating whether the processed node is the last
one (`False` for sequential mode).
.. figure:: hashlib-blake2-tree.png
:alt: Explanation of tree mode parameters.
See section 2.10 in `BLAKE2 specification
<https://blake2.net/blake2_20130129.pdf>`_ for comprehensive review of tree
hashing.
Constants
---------
.. data:: blake2b.SALT_SIZE
.. data:: blake2s.SALT_SIZE
Salt length (maximum length accepted by constructors).
.. data:: blake2b.PERSON_SIZE
.. data:: blake2s.PERSON_SIZE
Personalization string length (maximum length accepted by constructors).
.. data:: blake2b.MAX_KEY_SIZE
.. data:: blake2s.MAX_KEY_SIZE
Maximum key size.
.. data:: blake2b.MAX_DIGEST_SIZE
.. data:: blake2s.MAX_DIGEST_SIZE
Maximum digest size that the hash function can output.
Examples
========
Simple hashing
--------------
To calculate hash of some data, you should first construct a hash object by
calling the appropriate constructor function (:func:`blake2b` or
:func:`blake2s`), then update it with the data by calling :meth:`update` on the
object, and, finally, get the digest out of the object by calling
:meth:`digest` (or :meth:`hexdigest` for hex-encoded string).
>>> from hashlib import blake2b
>>> h = blake2b()
>>> h.update(b'Hello world')
>>> h.hexdigest()
'6ff843ba685842aa82031d3f53c48b66326df7639a63d128974c5c14f31a0f33343a8c65551134ed1ae0f2b0dd2bb495dc81039e3eeb0aa1bb0388bbeac29183'
As a shortcut, you can pass the first chunk of data to update directly to the
constructor as the first argument (or as *data* keyword argument):
>>> from hashlib import blake2b
>>> blake2b(b'Hello world').hexdigest()
'6ff843ba685842aa82031d3f53c48b66326df7639a63d128974c5c14f31a0f33343a8c65551134ed1ae0f2b0dd2bb495dc81039e3eeb0aa1bb0388bbeac29183'
You can call :meth:`hash.update` as many times as you need to iteratively
update the hash:
>>> from hashlib import blake2b
>>> items = [b'Hello', b' ', b'world']
>>> h = blake2b()
>>> for item in items:
... h.update(item)
>>> h.hexdigest()
'6ff843ba685842aa82031d3f53c48b66326df7639a63d128974c5c14f31a0f33343a8c65551134ed1ae0f2b0dd2bb495dc81039e3eeb0aa1bb0388bbeac29183'
Using different digest sizes
----------------------------
BLAKE2 has configurable size of digests up to 64 bytes for BLAKE2b and up to 32
bytes for BLAKE2s. For example, to replace SHA-1 with BLAKE2b without changing
the size of output, we can tell BLAKE2b to produce 20-byte digests:
>>> from hashlib import blake2b
>>> h = blake2b(digest_size=20)
>>> h.update(b'Replacing SHA1 with the more secure function')
>>> h.hexdigest()
'd24f26cf8de66472d58d4e1b1774b4c9158b1f4c'
>>> h.digest_size
20
>>> len(h.digest())
20
Hash objects with different digest sizes have completely different outputs
(shorter hashes are *not* prefixes of longer hashes); BLAKE2b and BLAKE2s
produce different outputs even if the output length is the same:
>>> from hashlib import blake2b, blake2s
>>> blake2b(digest_size=10).hexdigest()
'6fa1d8fcfd719046d762'
>>> blake2b(digest_size=11).hexdigest()
'eb6ec15daf9546254f0809'
>>> blake2s(digest_size=10).hexdigest()
'1bf21a98c78a1c376ae9'
>>> blake2s(digest_size=11).hexdigest()
'567004bf96e4a25773ebf4'
Keyed hashing
-------------
Keyed hashing can be used for authentication as a faster and simpler
replacement for `Hash-based message authentication code
<http://en.wikipedia.org/wiki/Hash-based_message_authentication_code>`_ (HMAC).
BLAKE2 can be securely used in prefix-MAC mode thanks to the
indifferentiability property inherited from BLAKE.
This example shows how to get a (hex-encoded) 128-bit authentication code for
message ``b'message data'`` with key ``b'pseudorandom key'``::
>>> from hashlib import blake2b
>>> h = blake2b(key=b'pseudorandom key', digest_size=16)
>>> h.update(b'message data')
>>> h.hexdigest()
'3d363ff7401e02026f4a4687d4863ced'
As a practical example, a web application can symmetrically sign cookies sent
to users and later verify them to make sure they weren't tampered with::
>>> from hashlib import blake2b
>>> from hmac import compare_digest
>>>
>>> SECRET_KEY = b'pseudorandomly generated server secret key'
>>> AUTH_SIZE = 16
>>>
>>> def sign(cookie):
... h = blake2b(data=cookie, digest_size=AUTH_SIZE, key=SECRET_KEY)
... return h.hexdigest()
>>>
>>> cookie = b'user:vatrogasac'
>>> sig = sign(cookie)
>>> print("{0},{1}".format(cookie.decode('utf-8'), sig))
user:vatrogasac,349cf904533767ed2d755279a8df84d0
>>> compare_digest(cookie, sig)
True
>>> compare_digest(b'user:policajac', sig)
False
>>> compare_digesty(cookie, '0102030405060708090a0b0c0d0e0f00')
False
Even though there's a native keyed hashing mode, BLAKE2 can, of course, be used
in HMAC construction with :mod:`hmac` module::
>>> import hmac, hashlib
>>> m = hmac.new(b'secret key', digestmod=hashlib.blake2s)
>>> m.update(b'message')
>>> m.hexdigest()
'e3c8102868d28b5ff85fc35dda07329970d1a01e273c37481326fe0c861c8142'
Randomized hashing
------------------
By setting *salt* parameter users can introduce randomization to the hash
function. Randomized hashing is useful for protecting against collision attacks
on the hash function used in digital signatures.
Randomized hashing is designed for situations where one party, the message
preparer, generates all or part of a message to be signed by a second
party, the message signer. If the message preparer is able to find
cryptographic hash function collisions (i.e., two messages producing the
same hash value), then she might prepare meaningful versions of the message
that would produce the same hash value and digital signature, but with
different results (e.g., transferring $1,000,000 to an account, rather than
$10). Cryptographic hash functions have been designed with collision
resistance as a major goal, but the current concentration on attacking
cryptographic hash functions may result in a given cryptographic hash
function providing less collision resistance than expected. Randomized
hashing offers the signer additional protection by reducing the likelihood
that a preparer can generate two or more messages that ultimately yield the
same hash value during the digital signature generation process – even if
it is practical to find collisions for the hash function. However, the use
of randomized hashing may reduce the amount of security provided by a
digital signature when all portions of the message are prepared
by the signer.
(`NIST SP-800-106 "Randomized Hashing for Digital Signatures"
<http://csrc.nist.gov/publications/nistpubs/800-106/NIST-SP-800-106.pdf>`_)
In BLAKE2 the salt is processed as a one-time input to the hash function during
initialization, rather than as an input to each compression function.
.. warning::
*Salted hashing* (or just hashing) with BLAKE2 or any other general-purpose
cryptographic hash function, such as SHA-256, is not suitable for hashing
passwords. See `BLAKE2 FAQ <https://blake2.net/#qa>`_ for more
information.
..
>>> import os
>>> from hashlib import blake2b
>>> msg = b'some message'
>>> # Calculate the first hash with a random salt.
>>> salt1 = os.urandom(blake2b.SALT_SIZE)
>>> h1 = blake2b(salt=salt1)
>>> h1.update(msg)
>>> # Calculate the second hash with a different random salt.
>>> salt2 = os.urandom(blake2b.SALT_SIZE)
>>> h2 = blake2b(salt=salt2)
>>> h2.update(msg)
>>> # The digests are different.
>>> h1.digest() != h2.digest()
True
Personalization
---------------
Sometimes it is useful to force hash function to produce different digests for
the same input for different purposes. Quoting the authors of the Skein hash
function:
We recommend that all application designers seriously consider doing this;
we have seen many protocols where a hash that is computed in one part of
the protocol can be used in an entirely different part because two hash
computations were done on similar or related data, and the attacker can
force the application to make the hash inputs the same. Personalizing each
hash function used in the protocol summarily stops this type of attack.
(`The Skein Hash Function Family
<http://www.skein-hash.info/sites/default/files/skein1.3.pdf>`_,
p. 21)
BLAKE2 can be personalized by passing bytes to the *person* argument::
>>> from hashlib import blake2b
>>> FILES_HASH_PERSON = b'MyApp Files Hash'
>>> BLOCK_HASH_PERSON = b'MyApp Block Hash'
>>> h = blake2b(digest_size=32, person=FILES_HASH_PERSON)
>>> h.update(b'the same content')
>>> h.hexdigest()
'20d9cd024d4fb086aae819a1432dd2466de12947831b75c5a30cf2676095d3b4'
>>> h = blake2b(digest_size=32, person=BLOCK_HASH_PERSON)
>>> h.update(b'the same content')
>>> h.hexdigest()
'cf68fb5761b9c44e7878bfb2c4c9aea52264a80b75005e65619778de59f383a3'
Personalization together with the keyed mode can also be used to derive different
keys from a single one.
>>> from hashlib import blake2s
>>> from base64 import b64decode, b64encode
>>> orig_key = b64decode(b'Rm5EPJai72qcK3RGBpW3vPNfZy5OZothY+kHY6h21KM=')
>>> enc_key = blake2s(key=orig_key, person=b'kEncrypt').digest()
>>> mac_key = blake2s(key=orig_key, person=b'kMAC').digest()
>>> print(b64encode(enc_key).decode('utf-8'))
rbPb15S/Z9t+agffno5wuhB77VbRi6F9Iv2qIxU7WHw=
>>> print(b64encode(mac_key).decode('utf-8'))
G9GtHFE1YluXY1zWPlYk1e/nWfu0WSEb0KRcjhDeP/o=
Tree mode
---------
Here's an example of hashing a minimal tree with two leaf nodes::
10
/ \
00 01
This example uses 64-byte internal digests, and returns the 32-byte final
digest::
>>> from hashlib import blake2b
>>>
>>> FANOUT = 2
>>> DEPTH = 2
>>> LEAF_SIZE = 4096
>>> INNER_SIZE = 64
>>>
>>> buf = bytearray(6000)
>>>
>>> # Left leaf
... h00 = blake2b(buf[0:LEAF_SIZE], fanout=FANOUT, depth=DEPTH,
... leaf_size=LEAF_SIZE, inner_size=INNER_SIZE,
... node_offset=0, node_depth=0, last_node=False)
>>> # Right leaf
... h01 = blake2b(buf[LEAF_SIZE:], fanout=FANOUT, depth=DEPTH,
... leaf_size=LEAF_SIZE, inner_size=INNER_SIZE,
... node_offset=1, node_depth=0, last_node=True)
>>> # Root node
... h10 = blake2b(digest_size=32, fanout=FANOUT, depth=DEPTH,
... leaf_size=LEAF_SIZE, inner_size=INNER_SIZE,
... node_offset=0, node_depth=1, last_node=True)
>>> h10.update(h00.digest())
>>> h10.update(h01.digest())
>>> h10.hexdigest()
'3ad2a9b37c6070e374c7a8c508fe20ca86b6ed54e286e93a0318e95e881db5aa'
Credits
=======
BLAKE2_ was designed by *Jean-Philippe Aumasson*, *Samuel Neves*, *Zooko
Wilcox-O'Hearn*, and *Christian Winnerlein* based on SHA-3_ finalist BLAKE_
created by *Jean-Philippe Aumasson*, *Luca Henzen*, *Willi Meier*, and
*Raphael C.-W. Phan*.
It uses core algorithm from ChaCha_ cipher designed by *Daniel J. Bernstein*.
The stdlib implementation is based on pyblake2_ module. It was written by
*Dmitry Chestnykh* based on C implementation written by *Samuel Neves*. The
documentation was copied from pyblake2_ and written by *Dmitry Chestnykh*.
The C code was partly rewritten for Python by *Christian Heimes*.
The following public domain dedication applies for both C hash function
implementation, extension code, and this documentation:
To the extent possible under law, the author(s) have dedicated all copyright
and related and neighboring rights to this software to the public domain
worldwide. This software is distributed without any warranty.
You should have received a copy of the CC0 Public Domain Dedication along
with this software. If not, see
http://creativecommons.org/publicdomain/zero/1.0/.
The following people have helped with development or contributed their changes
to the project and the public domain according to the Creative Commons Public
Domain Dedication 1.0 Universal:
* *Alexandr Sokolovskiy*
.. seealso:: Official BLAKE2 website: https://blake2.net
.. _RFC-7693: https://tools.ietf.org/html/rfc7693
.. _BLAKE2: https://blake2.net
.. _HMAC: https://en.wikipedia.org/wiki/Hash-based_message_authentication_code
.. _BLAKE: https://131002.net/blake/
.. _SHA-3: https://en.wikipedia.org/wiki/NIST_hash_function_competition
.. _ChaCha: https://cr.yp.to/chacha.html
.. _pyblake2: https://pythonhosted.org/pyblake2/
|