1 | """This file implements the chaffing algorithm. |
---|
2 | |
---|
3 | Winnowing and chaffing is a technique for enhancing privacy without requiring |
---|
4 | strong encryption. In short, the technique takes a set of authenticated |
---|
5 | message blocks (the wheat) and adds a number of chaff blocks which have |
---|
6 | randomly chosen data and MAC fields. This means that to an adversary, the |
---|
7 | chaff blocks look as valid as the wheat blocks, and so the authentication |
---|
8 | would have to be performed on every block. By tailoring the number of chaff |
---|
9 | blocks added to the message, the sender can make breaking the message |
---|
10 | computationally infeasible. There are many other interesting properties of |
---|
11 | the winnow/chaff technique. |
---|
12 | |
---|
13 | For example, say Alice is sending a message to Bob. She packetizes the |
---|
14 | message and performs an all-or-nothing transformation on the packets. Then |
---|
15 | she authenticates each packet with a message authentication code (MAC). The |
---|
16 | MAC is a hash of the data packet, and there is a secret key which she must |
---|
17 | share with Bob (key distribution is an exercise left to the reader). She then |
---|
18 | adds a serial number to each packet, and sends the packets to Bob. |
---|
19 | |
---|
20 | Bob receives the packets, and using the shared secret authentication key, |
---|
21 | authenticates the MACs for each packet. Those packets that have bad MACs are |
---|
22 | simply discarded. The remainder are sorted by serial number, and passed |
---|
23 | through the reverse all-or-nothing transform. The transform means that an |
---|
24 | eavesdropper (say Eve) must acquire all the packets before any of the data can |
---|
25 | be read. If even one packet is missing, the data is useless. |
---|
26 | |
---|
27 | There's one twist: by adding chaff packets, Alice and Bob can make Eve's job |
---|
28 | much harder, since Eve now has to break the shared secret key, or try every |
---|
29 | combination of wheat and chaff packet to read any of the message. The cool |
---|
30 | thing is that Bob doesn't need to add any additional code; the chaff packets |
---|
31 | are already filtered out because their MACs don't match (in all likelihood -- |
---|
32 | since the data and MACs for the chaff packets are randomly chosen it is |
---|
33 | possible, but very unlikely that a chaff MAC will match the chaff data). And |
---|
34 | Alice need not even be the party adding the chaff! She could be completely |
---|
35 | unaware that a third party, say Charles, is adding chaff packets to her |
---|
36 | messages as they are transmitted. |
---|
37 | |
---|
38 | For more information on winnowing and chaffing see this paper: |
---|
39 | |
---|
40 | Ronald L. Rivest, "Chaffing and Winnowing: Confidentiality without Encryption" |
---|
41 | http://theory.lcs.mit.edu/~rivest/chaffing.txt |
---|
42 | |
---|
43 | """ |
---|
44 | |
---|
45 | __revision__ = "$Id: Chaffing.py,v 1.7 2003/02/28 15:23:21 akuchling Exp $" |
---|
46 | |
---|
47 | from Crypto.Util.number import bytes_to_long |
---|
48 | |
---|
49 | class Chaff: |
---|
50 | """Class implementing the chaff adding algorithm. |
---|
51 | |
---|
52 | Methods for subclasses: |
---|
53 | |
---|
54 | _randnum(size): |
---|
55 | Returns a randomly generated number with a byte-length equal |
---|
56 | to size. Subclasses can use this to implement better random |
---|
57 | data and MAC generating algorithms. The default algorithm is |
---|
58 | probably not very cryptographically secure. It is most |
---|
59 | important that the chaff data does not contain any patterns |
---|
60 | that can be used to discern it from wheat data without running |
---|
61 | the MAC. |
---|
62 | |
---|
63 | """ |
---|
64 | |
---|
65 | def __init__(self, factor=1.0, blocksper=1): |
---|
66 | """Chaff(factor:float, blocksper:int) |
---|
67 | |
---|
68 | factor is the number of message blocks to add chaff to, |
---|
69 | expressed as a percentage between 0.0 and 1.0. blocksper is |
---|
70 | the number of chaff blocks to include for each block being |
---|
71 | chaffed. Thus the defaults add one chaff block to every |
---|
72 | message block. By changing the defaults, you can adjust how |
---|
73 | computationally difficult it could be for an adversary to |
---|
74 | brute-force crack the message. The difficulty is expressed |
---|
75 | as: |
---|
76 | |
---|
77 | pow(blocksper, int(factor * number-of-blocks)) |
---|
78 | |
---|
79 | For ease of implementation, when factor < 1.0, only the first |
---|
80 | int(factor*number-of-blocks) message blocks are chaffed. |
---|
81 | """ |
---|
82 | |
---|
83 | if not (0.0<=factor<=1.0): |
---|
84 | raise ValueError, "'factor' must be between 0.0 and 1.0" |
---|
85 | if blocksper < 0: |
---|
86 | raise ValueError, "'blocksper' must be zero or more" |
---|
87 | |
---|
88 | self.__factor = factor |
---|
89 | self.__blocksper = blocksper |
---|
90 | |
---|
91 | |
---|
92 | def chaff(self, blocks): |
---|
93 | """chaff( [(serial-number:int, data:string, MAC:string)] ) |
---|
94 | : [(int, string, string)] |
---|
95 | |
---|
96 | Add chaff to message blocks. blocks is a list of 3-tuples of the |
---|
97 | form (serial-number, data, MAC). |
---|
98 | |
---|
99 | Chaff is created by choosing a random number of the same |
---|
100 | byte-length as data, and another random number of the same |
---|
101 | byte-length as MAC. The message block's serial number is |
---|
102 | placed on the chaff block and all the packet's chaff blocks |
---|
103 | are randomly interspersed with the single wheat block. This |
---|
104 | method then returns a list of 3-tuples of the same form. |
---|
105 | Chaffed blocks will contain multiple instances of 3-tuples |
---|
106 | with the same serial number, but the only way to figure out |
---|
107 | which blocks are wheat and which are chaff is to perform the |
---|
108 | MAC hash and compare values. |
---|
109 | """ |
---|
110 | |
---|
111 | chaffedblocks = [] |
---|
112 | |
---|
113 | # count is the number of blocks to add chaff to. blocksper is the |
---|
114 | # number of chaff blocks to add per message block that is being |
---|
115 | # chaffed. |
---|
116 | count = len(blocks) * self.__factor |
---|
117 | blocksper = range(self.__blocksper) |
---|
118 | for i, wheat in map(None, range(len(blocks)), blocks): |
---|
119 | # it shouldn't matter which of the n blocks we add chaff to, so for |
---|
120 | # ease of implementation, we'll just add them to the first count |
---|
121 | # blocks |
---|
122 | if i < count: |
---|
123 | serial, data, mac = wheat |
---|
124 | datasize = len(data) |
---|
125 | macsize = len(mac) |
---|
126 | addwheat = 1 |
---|
127 | # add chaff to this block |
---|
128 | for j in blocksper: |
---|
129 | import sys |
---|
130 | chaffdata = self._randnum(datasize) |
---|
131 | chaffmac = self._randnum(macsize) |
---|
132 | chaff = (serial, chaffdata, chaffmac) |
---|
133 | # mix up the order, if the 5th bit is on then put the |
---|
134 | # wheat on the list |
---|
135 | if addwheat and bytes_to_long(self._randnum(16)) & 0x40: |
---|
136 | chaffedblocks.append(wheat) |
---|
137 | addwheat = 0 |
---|
138 | chaffedblocks.append(chaff) |
---|
139 | if addwheat: |
---|
140 | chaffedblocks.append(wheat) |
---|
141 | else: |
---|
142 | # just add the wheat |
---|
143 | chaffedblocks.append(wheat) |
---|
144 | return chaffedblocks |
---|
145 | |
---|
146 | def _randnum(self, size): |
---|
147 | # TBD: Not a very secure algorithm. |
---|
148 | # TBD: size * 2 to work around possible bug in RandomPool |
---|
149 | from Crypto.Util import randpool |
---|
150 | import time |
---|
151 | pool = randpool.RandomPool(size * 2) |
---|
152 | while size > pool.entropy: |
---|
153 | pass |
---|
154 | |
---|
155 | # we now have enough entropy in the pool to get size bytes of random |
---|
156 | # data... well, probably |
---|
157 | return pool.get_bytes(size) |
---|
158 | |
---|
159 | |
---|
160 | |
---|
161 | if __name__ == '__main__': |
---|
162 | text = """\ |
---|
163 | We hold these truths to be self-evident, that all men are created equal, that |
---|
164 | they are endowed by their Creator with certain unalienable Rights, that among |
---|
165 | these are Life, Liberty, and the pursuit of Happiness. That to secure these |
---|
166 | rights, Governments are instituted among Men, deriving their just powers from |
---|
167 | the consent of the governed. That whenever any Form of Government becomes |
---|
168 | destructive of these ends, it is the Right of the People to alter or to |
---|
169 | abolish it, and to institute new Government, laying its foundation on such |
---|
170 | principles and organizing its powers in such form, as to them shall seem most |
---|
171 | likely to effect their Safety and Happiness. |
---|
172 | """ |
---|
173 | print 'Original text:\n==========' |
---|
174 | print text |
---|
175 | print '==========' |
---|
176 | |
---|
177 | # first transform the text into packets |
---|
178 | blocks = [] ; size = 40 |
---|
179 | for i in range(0, len(text), size): |
---|
180 | blocks.append( text[i:i+size] ) |
---|
181 | |
---|
182 | # now get MACs for all the text blocks. The key is obvious... |
---|
183 | print 'Calculating MACs...' |
---|
184 | from Crypto.Hash import HMAC, SHA |
---|
185 | key = 'Jefferson' |
---|
186 | macs = [HMAC.new(key, block, digestmod=SHA).digest() |
---|
187 | for block in blocks] |
---|
188 | |
---|
189 | assert len(blocks) == len(macs) |
---|
190 | |
---|
191 | # put these into a form acceptable as input to the chaffing procedure |
---|
192 | source = [] |
---|
193 | m = map(None, range(len(blocks)), blocks, macs) |
---|
194 | print m |
---|
195 | for i, data, mac in m: |
---|
196 | source.append((i, data, mac)) |
---|
197 | |
---|
198 | # now chaff these |
---|
199 | print 'Adding chaff...' |
---|
200 | c = Chaff(factor=0.5, blocksper=2) |
---|
201 | chaffed = c.chaff(source) |
---|
202 | |
---|
203 | from base64 import encodestring |
---|
204 | |
---|
205 | # print the chaffed message blocks. meanwhile, separate the wheat from |
---|
206 | # the chaff |
---|
207 | |
---|
208 | wheat = [] |
---|
209 | print 'chaffed message blocks:' |
---|
210 | for i, data, mac in chaffed: |
---|
211 | # do the authentication |
---|
212 | h = HMAC.new(key, data, digestmod=SHA) |
---|
213 | pmac = h.digest() |
---|
214 | if pmac == mac: |
---|
215 | tag = '-->' |
---|
216 | wheat.append(data) |
---|
217 | else: |
---|
218 | tag = ' ' |
---|
219 | # base64 adds a trailing newline |
---|
220 | print tag, '%3d' % i, \ |
---|
221 | repr(data), encodestring(mac)[:-1] |
---|
222 | |
---|
223 | # now decode the message packets and check it against the original text |
---|
224 | print 'Undigesting wheat...' |
---|
225 | newtext = "".join(wheat) |
---|
226 | if newtext == text: |
---|
227 | print 'They match!' |
---|
228 | else: |
---|
229 | print 'They differ!' |
---|