├── CHANGES.txt
├── LICENSE.txt
├── MANIFEST
├── MANIFEST.in
├── README.md
├── RSAExploits
    ├── __init__.py
    ├── exploits
    │   ├── __init__.py
    │   ├── boneh_durfee.py
    │   ├── common_factor.py
    │   ├── common_modulus.py
    │   ├── ecm.py
    │   ├── exploit.py
    │   ├── fermat.py
    │   ├── franklin_reiter.py
    │   ├── hastad.py
    │   ├── qsieve.py
    │   └── wiener.py
    ├── rsa_cracker.py
    ├── rsa_data.py
    └── util.py
├── dist
    └── RSAExploits-0.1.0.tar.gz
├── setup.py
└── test_files
    ├── boneh_durfee_test.py
    ├── common_factor_test.py
    ├── common_factor_test.txt
    ├── common_moduli_test.txt
    ├── common_modulus_test.py
    ├── franklin_reiter_test.py
    ├── hastad_test.py
    ├── hastadlist.txt
    ├── rsa_mistakes.txt
    ├── wiener_list.txt
    └── wiener_test.py


/CHANGES.txt:
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1 | v0.1.0, <date> -- Initial release.
2 | 


--------------------------------------------------------------------------------
/LICENSE.txt:
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1 | Copyright (c) 2015 <Eric Azebu, Kumar Vikramjeet>
2 | 
3 | Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the following conditions:
4 | 
5 | The above copyright notice and this permission notice shall be included in all copies or substantial portions of the Software.
6 | 
7 | 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.
8 | 


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/MANIFEST:
--------------------------------------------------------------------------------
 1 | # file GENERATED by distutils, do NOT edit
 2 | CHANGES.txt
 3 | LICENSE.txt
 4 | README.txt
 5 | setup.py
 6 | RSAExploits/__init__.py
 7 | RSAExploits/rsa_cracker.py
 8 | RSAExploits/rsa_data.py
 9 | RSAExploits/util.py
10 | RSAExploits/exploits/__init__.py
11 | RSAExploits/exploits/boneh_durfee.py
12 | RSAExploits/exploits/common_factor.py
13 | RSAExploits/exploits/common_modulus.py
14 | RSAExploits/exploits/ecm.py
15 | RSAExploits/exploits/exploit.py
16 | RSAExploits/exploits/fermat.py
17 | RSAExploits/exploits/franklin_reiter.py
18 | RSAExploits/exploits/hastad.py
19 | RSAExploits/exploits/qsieve.py
20 | RSAExploits/exploits/wiener.py
21 | 


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/MANIFEST.in:
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1 | include *.txt
2 | recursive-include docs *.txt
3 | 


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/README.md:
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  1 | # Project Writeup
  2 | ###Overview
  3 | Cryptography challenges are popular in Capture the Flag (CTF) competitions and many of them involve exploiting a vulnerability in a poorly implemented RSA cryptosystem. These vulnerabilities make it possible to either factor an RSA modulus in a reasonable amount of time or compute the plaintext message directly.  Often the workflow for solving one these RSA problems involves figuring out which vulnerability is present, researching exploits for that vulnerability, and writing a program/script implementing an exploit. Assuming that the vulnerability is not revealed in the problem statement, each of these steps can take a significant amount of time. On top of that there is also the time spent debugging the exploit implementation.  
  4 | 
  5 | To help reduce the amount of time spent on each of these steps, we have developed an RSA exploit library for CTF challenges related to RSA cryptosystems. Many commonly known exploits, including Wiener's Attack, Hastad's Broadcast Attack, Common Modulus attack are already implemented for the user. In addition, various prime factorization methods each with their own special use cases are included. If the required exploit is already implemented by our library, the time required to research, code, and debug a solution is significantly reduced. If the RSA vulnerability or required exploit is not immediately known, a user could run a battery of exploits against the provided ciphertexts and RSA key data in an attempt to uncover more information. Moreover, a RSA problem may be vulnerable to more than one attack, which may be unknown to both user and problem author. Thus, the library can also be used to test CTF challenges for correctness, thus reducing the amount time required to implement solution scripts. 
  6 | 
  7 | 
  8 | ###Existing Research/Work
  9 | ##### 1. Twenty Years of Attacks on the RSA Cryptosystem
 10 | This paper provides a survey of many potential vulnerabilities in the RSA cryptosystem and describes the exploits for each. Among the discussed exploits are common modulus, Wiener's attack, Boneh Durfee attack, Hastad's Broadcast attack, and Franklin-Reiter Related Message attack. We used this paper as a basis for determining which exploits to include in our library. 
 11 | #####2. https://github.com/pablocelayes/rsa-wiener-attack
 12 | Github user pablocelayes has written a collection of python scripts that implement Wiener's
 13 | attack on RSA. When the private exponent(d) is less than N^(1/4), Wiener's attack can use continued fraction approximations to recover d.
 14 | #####3 https://github.com/mimoo/RSA-and-LLL-attacks
 15 | Github user mimoo appears to have written a collection of sage scripts that implement LLL
 16 | lattice based attacks on RSA. LLL lattice reduction is an algorithm created by Coppersmith
 17 | that can be used for finding roots of polynomial equations. His implementation of Boneh Durfee's attack is included in our library.
 18 | #####4 http://ahack.ru/write-ups/ructf-quals-14.htm
 19 | User Black Fan provided an implementation of the Franklin-Reiter Related Message attack that we modified to be more general.
 20 | #####5 https://github.com/rk700/attackrsa/tree/master/attackrsa
 21 | Github user rk700 has written implementations for both Hastad's Broadcast attack and the Fermat factorization method. Our library's implementations of both exploits were derived from his work. 
 22 | 
 23 | ###Approach and Implementation
 24 | ##### Introduction
 25 | During our research, we were unable to find a single library or tool that presented RSA exploits in coherent and easy to use fashion. We did find many implementations of RSA exploits that various CTF competitors around the world had posted in their writeups. However, many of them were coded in such a way that they were specific to the problem being solved and could not be applied to other problems. The implementations that were coded to be general often required  different sets of parameters and it was unlikely that implementations for two different exploits would provide a common interface. To solve these issues, we decided to develop a library that provided both general implementations of various exploits for RSA vulnerabilities and a uniform interface through which these exploits could be run. 
 26 | 
 27 | ##### Architecture
 28 | We implemented a class called RSAData to store all of the information associated with a particular RSA challenge, i.e. ciphertext plaintext pair and the RSA key elements used to manipulate that text data. At the moment, RSAData is implemented as a combination of the RSAObj class from pycrypto and a simple TextData class that we implemented ourselves. The RSAObj class is used to store and create all of the RSA key elements. This includes the modulus N, public exponent e, private exponent d, and primes p and q. We leveraged RSAObj's preexisting functionality for encryption and decryption. The TextData class stores the ciphertext, plaintext, and an ID number. Some of the exploits in our library only work if all ciphertexts were generated from the same plaintext. TextData objects with the same ID number contain ciphertexts that were generated from the same plaintext. The ID number field must be set by the user. 
 29 | 
 30 | Each exploit is implemented as a class that extends a base Exploit class. The base Exploit class only exports one method called run that takes two parameters. The first parameter is a list of RSAData objects and the second is a dictionary that can be used to specify additional information for particular exploits. For example, the Franklin-Reiter exploit requires a polynomial that specifies the relationship between two plaintext messages that were used to generate known ciphertexts. The presence of the run method provides a common interface that a user can use to call any exploit after the list of RSAData objects has been populated. Extracting the required information from the RSAData objects is handled by the run function and any subroutines called from there. 
 31 | 
 32 | ##### Usage
 33 | We envision the common workflow as follows, first, the user will initialize a list of RSAData objects using information from the problem. Initializing an RSAData object reqires first initializing an RSAObj and a TextData object. The RSAObj should be initialized using our rsa_obj function which is actually a wrapper for pycrypto's construct function. The parameters to this function are as follows:
 34 | 
 35 | ```
 36 | n: RSA modulus
 37 | e: public exponent
 38 | d: private exponent
 39 | p: first prime factor
 40 | q: second prime factor
 41 | ```
 42 | All of the above parameters are long type.
 43 | 
 44 | n and e are required parameters while the others are optional. We expect that in most CTF problems, the user will only provide n and e. 
 45 | 
 46 | The parameters to the TextData initializer are as follows:
 47 | ```
 48 | c: ciphertext
 49 | m: plaintext
 50 | idnum: ID number identifies plaintext, two TextData object containing cipertext corresponding to same plaintext, have same idnum.
 51 | ```
 52 | All of the above parameters have an integer type (they don't have to be explicitly declared as long type).
 53 | 
 54 | None of these parameters are required and even the TextData object itself is an optional parameter in the RSAData init function. However, many exploits require ciphertexts, so the user needs to specify c and idnum in those cases.
 55 | 
 56 | An example of initializing a RSAData object is shown below:
 57 | ```
 58 | import RSAExploits
 59 | 
 60 | n = #value
 61 | e = #value
 62 | c = #value
 63 | idnum = #value
 64 | 
 65 | rsaobj = RSAObj(n, e)
 66 | txt = TextData(c_text=c, idnum=idnum)
 67 | rsadata = RSAData(rsaobj, txt)
 68 | ```
 69 | 
 70 | After the users have initialized a list of RSAData objects, they have two options. They can, either run a predefined list of exploits against their RSAData objects, or they can specify the desired exploit manually by instantiating a class for that exploit and invoking its run method. Examples of both scenarios are shown below:
 71 | 
 72 | ```
 73 | # Run a predefined list of exploits 
 74 | rsadata_list = []  # Assume this list has already been populated
 75 | rsa_cracker.init()
 76 | rsa_cracker.attack(rsadata_list)
 77 | ```
 78 | 
 79 | ```
 80 | # Specify an exploit to run
 81 | rsadata_list = []  # Assume this list has already been populated
 82 | exploit = Common_Modulus()
 83 | exploit.run(rsadata_list)
 84 | ```
 85 | 
 86 | The run function in each exploit attemptS to uncover missing information in each RSAData object in the provided list. For all of the currently implemented exploits, this means either recovering d,p, and q (private exponent and prime factors) or the plaintext message m. Any recovered information is updated in the corresponding RSAData object. If a run function is able to uncover any information in any of the RSAData objects, it returns True. Otherwise, it returns False. If a run function returns True, most CTF players would then want to know what the recovered flag is. Often, this flag is a string. If the successful exploit recovered the private exponent d, the user would first need to decrypt the ciphertext before attempting to print the message. If the successful exploit recovered the message, the user would just need to convert the plaintext from an integer form to ASCII. Examples of both scenarios are shown below:
 87 | 
 88 | ```
 89 | # Exploit recovered the private exponent d
 90 | rsadata.decrypt()
 91 | print num2string(rsadata.get_m())
 92 | ```
 93 | 
 94 | ```
 95 | # Exploit recovered the private exponent d
 96 | print num2string(rsadata.get_m())
 97 | ```
 98 | 
 99 | num2string is a function included when the user imports RSAExploits and it converts an integer to its hex representation and then interprets it as ASCII. 
100 | 
101 | Some of the exploits require extra information that did not fit cleanly into the RSAData object. To handle these special cases, a second optional parameter is accepted by each exploit's run() function. This parameter is a dictionary containing key-value pairs where the key is a string that is equivalent to the name of an exploit class and the value is the extra information required. For example, the Franklin-Reiter exploit requires a polynomial that describes the relationship between two plaintext messages that produced two known ciphertexts. The documentation for individual exploits should be checked to see if they require any extra information. An example usage of the dictionary is shown below:
102 | 
103 | ```
104 | from sage.all_cmdline import *
105 | rsadata_list = []  # Assume this list has been populated
106 | n = some_value
107 | x = PolynomialRing(ZZ.quo(n*ZZ), 'x').gen()
108 | poly = x - 5
109 | info_dict = {}
110 | info_dict["Franklin_Reiter"] = poly
111 | Franklin_Reiter().run(rsadata_list, info_dict)
112 | ```
113 | 
114 | ##### Exploits
115 | At the moment the following exploits/factorization methods are available:
116 | * Boneh Durfee attack on low private exponents
117 | * Common Modulus 
118 | * Common Factor (common prime factors in moduli)
119 | * ECM Factorization (special condition: one of the primes should be much smaller)
120 | * Fermat Factorization (special condition: p and q are very close together)
121 | * Franklin-Reiter Related Message attack (special condition: relation between messages)
122 | * Hastad's Broadcast attack (special condition: number of RSAData should be greater than or equal to e)
123 | * Quadratic Sieve Factorization (2nd fastest general purpose factoring algorithm)
124 | * Wiener's attack (special condition: low private exponent)
125 | 
126 | ##### Expansion
127 | Adding new exploits to our module is pretty straightforward. A new .py file should be created and placed in the exploits folder, that declares a new class extending Exploit. This new class must implement a run function that applies the exploit to a list of RSAData objects, and optionally uses the dictionary to receive extra information.
128 | 
129 | ##### Sage
130 | Some of the included exploits in the library require sage to run. For example Franklin_Reiter relies on Sage's ability to handle polynomials. However, Sage is not required to use our library. If the user attempts to run any exploits that require Sage, an error message will be printed. Exploits that do not require Sage will run just fine.
131 | 
132 | ##### Installation
133 | From command line run the following:
134 | ```
135 | sudo apt-get update 
136 | git clone https://github.com/vik001ind/RSAExploits.git
137 | sudo pip install RSAExploits/
138 | 
139 | # If sage is installed, run the following commands as well
140 | cd RSAExploits/
141 | sudo sage -python setup.py install
142 | ```
143 | 
144 | ##### Pylint
145 | At the moment we are ignoring any errors concerning variable names or imports from sage. We know that the error messages about imports from sage are not correct and we feel that many of the variable names (eg: N, e, d) are named appropriately given the context of RSA. 
146 | 
147 | ###CTF Problem examples:
148 | 
149 | ####CTF Problem: Hack You 2014 - CRYPTONET:
150 | We have intercepted communication in a private network. It uses a strange protocol based on RSA cryptosystem.
151 | Can you still prove that it is not secure enough and get the flag?
152 | 
153 | Analysis of server RSA implementation and capture file:
154 | * Integer encoded plain-text message is less than modulus
155 | * Public exponent(e) remains constant (17), but modulus(N) varies
156 | * 19 ciphertexts are captured
157 | 
158 | This cryptosystem is vulnerable to Hastad's Broadcast Attack. Hastad's attack uses the Chinese Remainder Theorem to recover the plaintext message given a list of ciphertexts, moduli, and the public exponent e. It is guaranteed to succeed if the same plaintext message was used to generate all ciphertexts, the public exponent e is the same in all encryptions, the number of ciphertexts is greater than or equal to e, all of the moduli are greater than the plaintext, all of the moduli are unique, and all of the moduli are coprime (if they are not coprime then they share a common factor and another exploit can be used). Ideally, a user needs to extract the ciphertexts, moduli, and public exponent from the packet capture file and provide that information to our library. Our library would run through a list of exploits that includes Hastad's attack and would recover the plaintext. If the user realizes that the correct exploit is Hastad's attack, they could specify the correct exploit and not have to wait for all of the other exploits to finish executing. The corresponding script might resemble the following:
159 | 
160 | ```
161 | from RSAExploits import rsa_cracker
162 | from RSAExploits import RSAData
163 | from RSAExploits import rsa_obj
164 | from RSAExploits import TextData
165 | from RSAExploits import num2string
166 | from RSAExploits import Hastad
167 | import sys
168 | 
169 | sys.setrecursionlimit(10000)
170 | 
171 | # Parse and store all of the ciphertexts provided by the file
172 | rsadata_list = []
173 | c = None
174 | e = None
175 | N = None
176 | f = open("hastadlist.txt", 'r')
177 | for line in f:
178 | 	if line.startswith("e"):
179 | 		e = long(line.split(" ")[2])
180 | 	elif line.startswith("n"):
181 | 		N = long(line.split(" ")[2], 0)
182 | 	elif line.startswith("ciphertext"):
183 | 		c = long(line.split(" ")[2], 0)
184 | 		rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c, 1)))
185 | f.close()
186 | 
187 | # Library specific call
188 | # Run the exploit by specifying it
189 | if Hastad().run(rsadata_list):		
190 |     print num2string(rsadata_list[0].get_m())
191 | ```
192 | 
193 | 
194 | ####CTF Problem: Hack.lu 2014 - Wiener:
195 | It’s gold rush time! The New York Herald just reported about the Californian gold rush. We know a sheriff there is hiring guys to help him fill his own pockets. We know he already has a dreadful amount of gold in his secret vault. However, it is protected by a secret only he knows. When new deputies apply for the job, they get their own secret, but that only provies entry to a vault of all deputy sheriffs. No idiot would store their stuff in this vault. But maybe we can find a way to gain access to the sheriff’s vault? Have a go at it:
196 | nc wildwildweb.fluxfingers.net 1426
197 | 
198 | Analysis of server RSA implementation:
199 | * Public key is accessible through server
200 | * The size of the private exponent(d) in bits is around 1/5 of the modulus
201 | 
202 | The name of the problem gives it away, but this cryptosystem is vulnerable to Wiener's Attack. Wiener's attack is able to recover the private exponent d when d < N^(1/4). Once again, our library could be used to reduce the amount of time needed to write a script that uses Wiener's attack to recover the private key and decrypt the message. The script that the user has to write might resemble the following:
203 | 
204 | ```
205 | from RSAExploits import rsa_cracker
206 | from RSAExploits import RSAData
207 | from RSAExploits import rsa_obj
208 | from RSAExploits import TextData
209 | from RSAExploits import num2string
210 | from RSAExploits import Wiener
211 | import sys
212 | 
213 | sys.setrecursionlimit(10000)
214 | 
215 | # Parse and store all of the ciphertexts provided by the file
216 | rsadata_list = []
217 | rsadata_list.append(RSAData(rsa_obj(n, e)))       # Assume n and e have been initialized
218 | if Wiener().run(rsadata_list):		
219 |     print (rsadata_list[0].get_d())
220 | ```
221 | 
222 | 
223 | ####CTF Problem: PicoCTF 2014 - RSA Mistakes:
224 | Daedalus Corp seems to have had a very weird way of broadcasting some secret data. We managed to find the server code that broadcasted it, and one of our routers caught some of their traffic - can you find the secret data? We think someone may have requested the secret using someone else's user id by accident, but we're not sure. 
225 | 
226 | Analysis of server RSA implementation and capture file:
227 | * All messages are encrypted using a public exponent of 3
228 | * Two messages have been encrypted using the same public key (N,e)
229 | * Those 2 messages are related by a known polynomial
230 | 
231 | This problem is vulnerable to the Franklin-Reiter Related Message attack. When two messages differ by a known amount and are encrypted using the same public key, then we compute the message directly. However, the Franklin-Reiter attack will only terminate in a reasonable amount of time if the public exponent e is small. Lucky for us, that is the case. So, a user of our library should only have to provide the modulus, public exponent, two ciphertexts, and a polynomial representing the relationship of the two plaintext messages used to generate the ciphertexts. The rest of the work would be taken care of by the pre-implemented Franklin-Reiter exploit. The resulting script might resemble the following:
232 | 
233 | ```
234 | from sage.all_cmdline import *
235 | from RSAExploits import rsa_cracker
236 | from RSAExploits import RSAData
237 | from RSAExploits import rsa_obj
238 | from RSAExploits import TextData
239 | from RSAExploits import num2string
240 | from RSAExploits import mod_inv
241 | from RSAExploits import Franklin_Reiter
242 | import sys
243 | 
244 | sys.setrecursionlimit(10000)
245 | 
246 | # Assume N, e, c1, c2, a, and b have been initialized
247 | 
248 | info_dict = {}
249 | rsadata_list = []
250 | rsadata_list.append(RSAData(rsa_obj(long(N), long(e)), TextData(c1)))
251 | rsadata_list.append(RSAData(rsa_obj(long(N), long(e)), TextData(c2)))
252 | 
253 | x = PolynomialRing(ZZ.quo(N*ZZ), 'x').gen()
254 | poly = a*x + b
255 | info_dict["Franklin_Reiter"] = poly
256 | 
257 | # Run exploit
258 | if Franklin_Reiter().run(rsadata_list, info_dict):
259 |     plaintext = rsadata_list[0].get_m()
260 |     print num2string(plaintext)
261 | 
262 | ```
263 | 
264 | The actual full script that solves RSA Mistakes would be a little more involved. The plaintext messages are transformed before they are encrypted resulting in a few more steps at the end.
265 | 
266 | 
267 | ### Future Work
268 | There are still many RSA exploits that have yet to be implemented/added to our library. Among these are Coppersmith's Short Pad attack, Partial Key Exposure attacks, and Hastad's generalized broadcast attack. Future work could involve implementing these new exploits, improving code quality of the library, improving code efficiency, and improving usability.
269 | 


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/RSAExploits/__init__.py:
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 1 | """ Package implementing exploits for various RSA vulnerabilities """
 2 | from RSAExploits.exploits.fermat import Fermat
 3 | from RSAExploits.exploits.hastad import Hastad
 4 | from RSAExploits.exploits.wiener import Wiener
 5 | from RSAExploits.exploits.boneh_durfee import Boneh_Durfee
 6 | from RSAExploits.exploits.common_factor import Common_Factor
 7 | from RSAExploits.exploits.common_modulus import Common_Modulus
 8 | from RSAExploits.exploits.ecm import Ecm
 9 | from RSAExploits.exploits.qsieve import Qsieve
10 | from RSAExploits.exploits.franklin_reiter import Franklin_Reiter
11 | 
12 | 
13 | # Auto import of RSA_Data and util classes and functions
14 | from RSAExploits.rsa_data import rsa_obj
15 | from RSAExploits.rsa_data import TextData
16 | from RSAExploits.rsa_data import RSAData
17 | from RSAExploits.util import compute_priv_rsa_exp, totient_from_primes, \
18 | coprime, is_printable, int_nthroot, crt, mod_inv, egcd, extract_key_from_pem, \
19 | num2string
20 | 


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/RSAExploits/exploits/__init__.py:
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1 | __all__ = ['exploit', 'boneh_durfee', 'fermat', 'hastad', 'qsieve', 'ecm', 'wiener', 'common_factor', 'common_modulus', 'franklin_reiter'] 
2 | 


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/RSAExploits/exploits/boneh_durfee.py:
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  1 | """ Class defintion for the boneh durfee low private exponent exploit 
  2 | 
  3 |     Much of this file was *autogenerated* from the file boneh_durfee.sage
  4 |     taken from: https://github.com/mimoo/RSA-and-LLL-attacks
  5 | """
  6 | 
  7 | 
  8 | sage_present = True
  9 | try:
 10 |     from sage.all_cmdline import *   # import sage library
 11 |     _sage_const_2 = Integer(2)
 12 |     _sage_const_1 = Integer(1)
 13 |     _sage_const_0 = Integer(0)
 14 |     _sage_const_60 = Integer(60)
 15 | 
 16 |     # Currently this exploit is set to work if the private
 17 |     # exponent is <= N ^ 0.27. Theoretical it could be set
 18 |     # to work as long as d < N ^ 0.292 but that takes a lot
 19 |     # longer to run
 20 |     _sage_m_value = Integer(6)
 21 |     _sage_delta_value = RealNumber('0.27')
 22 | except ImportError:
 23 |     sage_present = False
 24 | 
 25 | from RSAExploits.exploits.exploit import Exploit
 26 | 
 27 | debug = False
 28 | 
 29 | class Boneh_Durfee(Exploit):
 30 |     """ Class providing a run interface to the boneh_durfee exploit"""
 31 |    
 32 |     def run(self, rsadata_list, info_dict = None):
 33 |         
 34 |         """ Attempts to recover private exponent using the boneh durfee exploit
 35 | 
 36 |             This attack works when the private key d is < N ^ 0.27. This limit
 37 |             can be tweaked up to a theoretical N^0.292, but the computation
 38 |             begins to take a very long time.
 39 |             
 40 |             Args:
 41 |                 rsadata_list: A list of RSA_Data objects on which to attempt the
 42 |                               boneh durfee exploit
 43 |                 info_dict: Not currently used
 44 | 
 45 |             Side Effects: 
 46 |                 If a private key is recovered, the corresponding field in the
 47 |                 RSA_Data object will be set
 48 | 
 49 |             Return: 
 50 |                 True if at least one private key is recovered
 51 |         """
 52 | 
 53 |         global sage_present
 54 | 
 55 |         if not sage_present:
 56 |             print "Boneh Durfee: Sage required, skipping exploit"
 57 |             return 
 58 | 
 59 |         print "Boneh Durfee: Running Attack..."
 60 |         success = False     
 61 |         for rsadata in rsadata_list:
 62 |         
 63 |             solx, soly = Boneh_Durfee.boneh_durfee_wrapper(rsadata.get_n(), rsadata.get_e())
 64 |             if solx == None:
 65 |                 continue
 66 |         
 67 |             A = int((rsadata.get_n()+_sage_const_1 )/_sage_const_2 )
 68 |             d = (solx * (A + soly) + _sage_const_1) / rsadata.get_e()
 69 |             success = True
 70 |             rsadata.set_d(long(d))
 71 |     
 72 |         if success:
 73 |             print "Boneh Durfee: Success, at least one private exponent recovered"
 74 |         else:   
 75 |             print "Boneh Durfee: Failure, no private exponents recovered"
 76 |         return sucess        
 77 |             
 78 | 
 79 |     @staticmethod
 80 |     def boneh_durfee_wrapper(n, e):
 81 |         """ Wrapper for the boneh durfee exploit """
 82 |         P = PolynomialRing(Zmod(e), names=('x', 'y',)); (x, y,) = P._first_ngens(2)
 83 |         A = int((n+_sage_const_1 )/_sage_const_2 )
 84 |         pol = _sage_const_1  + x * (A + y)
 85 | 
 86 |         delta = _sage_delta_value
 87 |         m = _sage_m_value
 88 |         t = int((_sage_const_1 - _sage_const_2*delta)*m)
 89 | 
 90 |         X = _sage_const_2*floor(n**delta)
 91 |         Y = floor(n**(_sage_const_1 / _sage_const_2))
 92 | 
 93 |         return Boneh_Durfee.boneh_durfee(pol, e, m, t, X, Y)
 94 | 
 95 | 
 96 |     @staticmethod
 97 |     def boneh_durfee(pol, modulus, mm, tt, XX, YY):
 98 |         """
 99 |         Boneh and Durfee revisited by Herrmann and May
100 |         
101 |         finds a solution if:
102 |         * d < N^delta
103 |         * |x| < e^delta
104 |         * |y| < e^0.5
105 |         whenever delta < 1 - sqrt(2)/2 ~ 0.292
106 |         """
107 | 
108 |         # substitution (Herrman and May)
109 |         PR = PolynomialRing(ZZ, names=('u', 'x', 'y',)); (u, x, y,) = PR._first_ngens(3)
110 |         Q = PR.quotient(x*y + _sage_const_1  - u) # u = x*y + 1
111 |         polZ = Q(pol).lift()
112 | 
113 |         UU = XX*YY + _sage_const_1 
114 | 
115 |         # x-shifts
116 |         gg = []
117 | 
118 |         for kk in range(mm + _sage_const_1 ):
119 |             for ii in range(mm - kk + _sage_const_1 ):
120 |                 xshift = x**ii * modulus**(mm - kk) * polZ(u, x, y)**kk
121 |                 gg.append(xshift)
122 | 
123 |         gg.sort()
124 | 
125 |         # x-shifts monomials
126 |         monomials = []
127 | 
128 |         for polynomial in gg:
129 |             for monomial in polynomial.monomials():
130 |                 if monomial not in monomials:
131 |                     monomials.append(monomial)
132 | 
133 |         monomials.sort()
134 |         
135 |         # y-shifts (selected by Herrman and May)
136 |         for jj in range(_sage_const_1 , tt + _sage_const_1 ):
137 |             for kk in range(floor(mm/tt) * jj, mm + _sage_const_1 ):
138 |                 yshift = y**jj * polZ(u, x, y)**kk * modulus**(mm - kk)
139 |                 yshift = Q(yshift).lift()
140 |                 gg.append(yshift) # substitution
141 |         
142 |         # y-shifts monomials
143 |         for jj in range(_sage_const_1 , tt + _sage_const_1 ):
144 |             for kk in range(floor(mm/tt) * jj, mm + _sage_const_1 ):
145 |                 monomials.append(u**kk * y**jj)
146 | 
147 |         # construct lattice B
148 |         nn = len(monomials)
149 | 
150 |         BB = Matrix(ZZ, nn)
151 | 
152 |         for ii in range(nn):
153 | 
154 |             BB[ii, _sage_const_0 ] = gg[ii](_sage_const_0 , _sage_const_0 , _sage_const_0 )
155 | 
156 |             for jj in range(_sage_const_1 , ii + _sage_const_1 ):
157 |                 if monomials[jj] in gg[ii].monomials():
158 |                     BB[ii, jj] = gg[ii].monomial_coefficient(monomials[jj]) * monomials[jj](UU,XX,YY)
159 | 
160 |         # check if vectors are helpful
161 |         if debug:
162 |             helpful_vectors(BB, modulus**mm)
163 |         
164 |         # check if determinant is correctly bounded
165 |         if debug:
166 |             det = BB.det()
167 |             bound = modulus**(mm*nn)
168 |             if det >= bound:
169 |                 print "We do not have det < bound. Solutions might not be found."
170 |                 diff = (log(det) - log(bound)) / log(_sage_const_2 )
171 |                 print "size det(L) - size e^(m*n) = ", floor(diff)
172 |             else:
173 |                 print "det(L) < e^(m*n)"
174 | 
175 |         # debug: display matrix
176 |         if debug:
177 |             matrix_overview(BB, modulus**mm)
178 | 
179 |         # LLL
180 |         BB = BB.LLL()
181 | 
182 |         # vector 1 & 2 -> polynomials 1 & 2
183 |         PR = PolynomialRing(ZZ, names=('w', 'z',)); (w, z,) = PR._first_ngens(2)
184 | 
185 |         pol1 = pol2 = _sage_const_0 
186 |         for jj in range(nn):
187 |             pol1 += monomials[jj](w*z+_sage_const_1 ,w,z) * BB[_sage_const_0 , jj] / monomials[jj](UU,XX,YY)
188 |             pol2 += monomials[jj](w*z+_sage_const_1 ,w,z) * BB[_sage_const_1 , jj] / monomials[jj](UU,XX,YY)
189 | 
190 |         # resultant
191 |         PR = PolynomialRing(ZZ, names=('q',)); (q,) = PR._first_ngens(1)
192 |         rr = pol1.resultant(pol2)
193 | 
194 |         if rr.is_zero() or rr.monomials() == [_sage_const_1 ]:
195 |             if debug:
196 |                 print "failure"
197 |             return None, None
198 |         
199 |         rr = rr(q, q)
200 |         # solutions
201 |         try:
202 |             soly = rr.roots()[_sage_const_0 ][_sage_const_0 ]
203 |             if debug:
204 |                 print "found for y_0:", soly
205 | 
206 |             ss = pol1(q, soly)
207 |             solx = ss.roots()[_sage_const_0 ][_sage_const_0 ]
208 |             if debug:
209 |                 print "found for x_0:", solx
210 |         except IndexError:
211 |             return None, None
212 |         return solx, soly
213 | 
214 |     
215 | 
216 | # display stats on helpful vectors
217 | def helpful_vectors(BB, modulus):
218 |     nothelpful = _sage_const_0 
219 |     for ii in range(BB.dimensions()[_sage_const_0 ]):
220 |         if BB[ii,ii] >= modulus:
221 |             nothelpful += _sage_const_1 
222 | 
223 |     print nothelpful, "/", BB.dimensions()[_sage_const_0 ], " vectors are not helpful"
224 | 
225 | # display matrix picture with 0 and X
226 | def matrix_overview(BB, bound):
227 |     for ii in range(BB.dimensions()[_sage_const_0 ]):
228 |         a = ('%02d ' % ii)
229 |         for jj in range(BB.dimensions()[_sage_const_1 ]):
230 |             a += '0' if BB[ii,jj] == _sage_const_0  else 'X'
231 |             if BB.dimensions()[_sage_const_0 ] < _sage_const_60 :
232 |                 a += ' '
233 |         if BB[ii, ii] >= bound:
234 |             a += '~'
235 |         print a
236 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/common_factor.py:
--------------------------------------------------------------------------------
  1 | """ Class defintion for common factor exploit """
  2 | 
  3 | sage_present = True
  4 | try:
  5 |     from sage.all_cmdline import *
  6 | except ImportError:
  7 |     sage_present = False
  8 | 
  9 | from RSAExploits.util import compute_priv_rsa_exp
 10 | from fractions import gcd
 11 | from RSAExploits.exploits.exploit import Exploit
 12 | 
 13 | # Used to hopefully limit calls to sage's Primes() function
 14 | primes_seen = []
 15 | 
 16 | class Common_Factor(Exploit):
 17 |     """ Class providing a run interface to the common factor exploit"""
 18 | 
 19 |     def run(self, rsadata_list, info_dict = None):
 20 |         """ Attempts to recover plaintext using the common factor exploit
 21 | 
 22 |             This attack works when we have 2 RSA_Data objects with moduli
 23 |             that share a common factor and one of the moduli is the product
 24 |             of two primes
 25 |             
 26 |             Args:
 27 |                 rsadata_list: A list of RSA_Data objects with moduli to search for
 28 |                               common factors
 29 |                 info_dict: Not currently used
 30 | 
 31 |             Side Effects: 
 32 |                 If a modulus is factored, the corresponding RSA_Data object's
 33 |                 private key will be computed and initialized
 34 | 
 35 |             Return: 
 36 |                 True if at least one modulus is factored
 37 |         """
 38 |         
 39 |         global sage_present
 40 | 
 41 |         if not sage_present:
 42 |             print "Common Factor: Sage required, skipping exploit"
 43 |             return 
 44 |         
 45 |         print "Common Factor: Running Attack..."
 46 |         success = False
 47 |         for i in range(0, len(rsadata_list) - 1):
 48 |             for j in range(1, len(rsadata_list)):
 49 |                 if self.common_factor_exploit(rsadata_list[i], rsadata_list[j]):
 50 |                     success = True
 51 | 
 52 |         if success:
 53 |             print "Common Factor: Success, at least one private exponent recovered"
 54 |         else:   
 55 |             print "Common Factor: Failure, no private exponents recovered"
 56 |         return success
 57 | 
 58 |     @staticmethod
 59 |     def common_factor_exploit(rsadata1, rsadata2):
 60 |         """ Attempt to recover the private keys of the RSA_Data objects
 61 | 
 62 |             Checks if the moduli in the two rsadata objects share a common factor.
 63 |             If so, this function will attempt to recover the private exponent
 64 |             used for decryption. Returns true if at least one private exponent 
 65 |             has been recovered. Updates the d, p, and q fields of an rsadata
 66 |             object if the exploit is successful
 67 |         """
 68 |     
 69 |         global primes_seen
 70 | 
 71 |         ret =False
 72 | 
 73 |         # If the two moduli have no common factors
 74 |         p = long(gcd(rsadata1.get_n(), rsadata2.get_n()))
 75 |         if p == 1:
 76 |             return ret
 77 | 
 78 |         # Compute a second factor for each modulus
 79 |         q1 = long(rsadata1.get_n() / p)
 80 |         q2 = long(rsadata2.get_n() / p)
 81 |         
 82 |         # If the two factors of the first modulus are both prime
 83 |         if (p in primes_seen or p in Primes()) and (q1 in primes_seen or q1 in Primes()):
 84 | 
 85 |             # Update primes list to hopefully save time in the future
 86 |             primes_seen.append(p)
 87 |             primes_seen.append(q1)
 88 | 
 89 |             # Recover d and update fields in rsadata object
 90 |             d = compute_priv_rsa_exp(rsadata1.get_e(), (p, q1))
 91 |             rsadata1.set_d(d)
 92 |             ret = True
 93 | 
 94 |         # If the two factors of the second modulus are both prime
 95 |         if (p in primes_seen or p in Primes()) and (q2 in primes_seen or q2 in Primes()):
 96 |             primes_seen.append(p)
 97 |             primes_seen.append(q2)
 98 |             d = compute_priv_rsa_exp(rsadata2.get_e(), (p, q2))
 99 |             rsadata2.set_d(d)
100 |             ret = True
101 | 
102 |         return ret
103 | 
104 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/common_modulus.py:
--------------------------------------------------------------------------------
  1 | """ Class defintion for common modulus exploit """
  2 | 
  3 | from RSAExploits.exploits.exploit import Exploit
  4 | from RSAExploits.util import egcd
  5 | from RSAExploits.util import mod_inv
  6 | from RSAExploits.util import coprime
  7 | 
  8 | class Common_Modulus(Exploit):
  9 |     """ Class providing a run interface to the common modulus exploit"""
 10 | 
 11 |     def run(self, rsadata_list, info_dict = None):
 12 |         """ Attempts to recover plaintext using the common modulus exploit
 13 | 
 14 |             This attack works when we have 2 RSA_Data objects with
 15 |             the same modulus, unique and coprime public exponents, and
 16 | `           ciphertexts generated from the same plaintext message. This function
 17 |             checks for the presence of  common modulus vulnerabilities in the
 18 |             provided list of rsaData objects. If one is found, it is exploited.
 19 |             
 20 |             Args:
 21 |                 rsadata_list: A list of RSA_Data objects to search for
 22 |                               common modulus vulnerabilities
 23 |                 info_dict: Not currently used
 24 | 
 25 |             Side Effects: 
 26 |                 If a message is recovered, the corresponding RSA_Data objects
 27 |                 will be updated with this information
 28 | 
 29 |             Return: 
 30 |                 True if at least one message was recovered
 31 |         """
 32 |         
 33 |         print "Common Modulus: Running Attack..."
 34 |         success = False
 35 |         
 36 |         modulus_dictionary = self.group_by_moduli_and_id(rsadata_list)
 37 |         ids_decrypted = {}      
 38 |     
 39 |         # Iterate through each (N, idnum) tuple in the dictionary   
 40 |         for key in modulus_dictionary:
 41 | 
 42 |             # If the plaintext corresponding to the id has
 43 |             # already been recovered
 44 |             if key[1] in ids_decrypted:
 45 |                 continue
 46 | 
 47 |             # Attempt to exploit the common modulus vulnerability in each
 48 |             # unique pair of rsaData objects
 49 |             for i in range(0, len(modulus_dictionary[key]) - 1):
 50 |                 
 51 |                 if key[1] in ids_decrypted:
 52 |                     break
 53 | 
 54 |                 for j in range(1, len(modulus_dictionary[key])):
 55 |                     
 56 |                     if key[1] in ids_decrypted:
 57 |                         break
 58 |                 
 59 |                     # If the common modulus exploit was successful
 60 |                     if self.common_modulus_exploit(modulus_dictionary[key][i], modulus_dictionary[key][j]):
 61 |                         success = True
 62 |                     
 63 |                         # Used to skip unnecessary work and update other rsaData objects
 64 |                         # with the same idnum
 65 |                         ids_decrypted[key[1]] = modulus_dictionary[key][i].get_m()
 66 |     
 67 |         # Update plaintext in rsaData objects with decrypted IDs
 68 |         for entry in rsadata_list:
 69 |             if entry.get_id() in ids_decrypted:
 70 |                 entry.set_m(ids_decrypted[entry.get_id()])
 71 |             
 72 |         if success:
 73 |             print "Common Modulus: Success, at least one message decrypted"
 74 |         else:   
 75 |             print "Common Modulus: Failure, no messages decrypted"
 76 |         return success
 77 | 
 78 | 
 79 |     # Create a dictionary of ciphertexts keyed by the modulus
 80 |     # used to encrypt them, and the user provided id number
 81 |     @staticmethod
 82 |     def group_by_moduli_and_id(rsadata):
 83 |         """ Group the RSA_Data objects by modulus and id """
 84 |         
 85 |         modulus_dictionary = {}
 86 |     
 87 |         for entry in rsadata:
 88 | 		
 89 |             # Only consider entries with an ID number for this attack
 90 |             if entry.get_id() == None:
 91 |                 continue
 92 | 			
 93 |             # Only consider entries with a ciphertext
 94 |             if entry.get_c() == None:
 95 |                 continue
 96 | 
 97 |             # If the (N, idnum) tuple already exists in the dictionary, just
 98 |             # append the new entry to the already existing list
 99 |             if (entry.get_n(), entry.get_id()) in modulus_dictionary:
100 |                 modulus_dictionary[(entry.get_n(), entry.get_id())].append(entry)
101 | 		
102 |             # Otherwise, create a new list for the new tuple
103 |             else:
104 |                 modulus_dictionary[(entry.get_n(), entry.get_id())] = [entry]
105 | 
106 |         return modulus_dictionary
107 | 
108 | 
109 | 
110 |     @staticmethod
111 |     def common_modulus_exploit(rsadata1, rsadata2):
112 |         """ Perform the common modulus exploit on 2 RSA_Data objects"""
113 | 
114 |         if rsadata1.get_n() != rsadata2.get_n():
115 |             return False
116 |         if not coprime(rsadata1.get_e(), rsadata2.get_e()):
117 |             return False
118 |         if rsadata1.get_id() != rsadata2.get_id():
119 |             return False
120 | 
121 |         N = rsadata2.get_n()
122 |         c1 = rsadata1.get_c()
123 |         c2 = rsadata2.get_c()  
124 |      
125 |         # Because gcd(e1, e2) = 1, we know that there must exist two integers
126 |         # X, Y such that Xe1 + Ye2 = 1. The values of X and Y can be computed
127 |         # using the Extended Euclidean algorithm
128 |         g,x,y = egcd(rsadata1.get_e(), rsadata2.get_e())
129 | 
130 |         # If either x or y is negative, we need to compute the multiplicative
131 |         # modular inverse of the corresponding ciphertext and negate x/y.
132 |         # c1 ^ -a = c1* ^ a where c1* is the multiplicative modular inverse of c1.
133 |         if x < 0:
134 |             x = -x
135 |             c1 = mod_inv(c1, N)
136 | 
137 |         if y < 0:
138 |             y = -y
139 |             c2 = mod_inv(c2, N)
140 | 
141 |         # Compute (c1^ x * c2 ^ y) mod N    
142 |         plaintext = (pow(c1, x, N) * pow(c2, y, N)) % N
143 |         rsadata1.set_m(plaintext)
144 |         rsadata2.set_m(plaintext)
145 |         return True
146 |         
147 | 
148 | 
149 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/ecm.py:
--------------------------------------------------------------------------------
 1 | """ Class defintion for elliptic curve factorization """
 2 | 
 3 | sage_present = True
 4 | try:
 5 |     from sage.all_cmdline import *
 6 | except ImportError:
 7 |     sage_present = False
 8 | 
 9 | from RSAExploits.util import compute_priv_rsa_exp
10 | from RSAExploits.exploits.exploit import Exploit
11 | 
12 | class Ecm(Exploit):
13 |     """ Class providing a run interface to sage's ecm.factor function"""
14 |     
15 |     def run(self, rsadata_list, info_dict):
16 |         """ Factors moduli using elliptic curve factorization 
17 | 
18 |             This is currently the third fastest known general purpose
19 |             factoring algorithm. However, its runtime is dominated by
20 |             the size of the smallest factor. Therefore it is particularly
21 |             well suited to finding the factors of moduli that contain a small
22 |             prime factor 
23 | 
24 |             Args:
25 |                 rsadata_list: A list of RSA_Data objects with moduli to factor
26 |                 info_dict: Not currently used in this exploit
27 | 
28 |             Side Effects: 
29 |                 If a modulus is factored, the corresponding RSA_Data object's
30 |                 private key will be computed and initialized
31 | 
32 |             Return: 
33 |                 True if at least one modulus was factored
34 |         """
35 |     
36 |         global sage_present
37 |     
38 |         if not sage_present:
39 |             print "ECM Factoring: Sage required, skipping exploit"
40 |             return 
41 |         
42 |         print ("ECM Factoring: Running Attack...")
43 |         success = False
44 | 
45 |         for rsadata in rsadata_list:
46 |             roots = ecm.factor(rsadata.get_n())
47 |             if roots != None:
48 |                 rsadata.set_d(compute_priv_rsa_exp(rsadata.get_e(), roots))
49 |                 success = True
50 |     
51 |         if success:     
52 |             print("ECM Factoring: Success, roots found, assigned in rsadata.")
53 |         else:           
54 |             print("ECM Factoring: Failure, roots not found.")
55 |         return success
56 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/exploit.py:
--------------------------------------------------------------------------------
1 | class Exploit(object):
2 |     def __init__(self):
3 |         pass
4 |     def run(self, rsadata_list, info_dict = None):
5 |         pass
6 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/fermat.py:
--------------------------------------------------------------------------------
 1 | """ Class defintion for fermat factorization """
 2 | 
 3 | from sympy import integer_nthroot
 4 | from RSAExploits.exploits.exploit import Exploit
 5 | from RSAExploits.util import compute_priv_rsa_exp
 6 | 
 7 | class Fermat(Exploit):
 8 |     """ Class providing a run interface to a fermat facorization function"""
 9 |     
10 |     def run(self, rsadata_list, info_dict = None):
11 |         """ Factors moduli using fermat factorization 
12 | 
13 |             This algorithm is best suited for finding prime factors when
14 |             the difference between them is small
15 |     
16 |             Args:
17 |                 rsadata_list: A list of RSA_Data objects with moduli to factor
18 |                 info_dict: User can specify a bound on the runtime using the
19 |                            key "Fermat" and specifying a number
20 | 
21 |             Side Effects: 
22 |                 If a modulus is factored, the corresponding RSA_Data object's
23 |                 private key will be computed and initialized
24 | 
25 |             Return: 
26 |                 True if at least one modulus was factored
27 |         """
28 |         
29 |         print ("Fermat: Running Attack...")
30 |         success = False
31 |         limit = None
32 |         if info_dict != None and "Fermat" in info_dict:
33 |             limit = info_dict["Fermat"]
34 | 
35 |         for rsadata in rsadata_list:
36 |             if limit != None:
37 |                 roots = Fermat.fermat_factor(rsadata.get_n(), limit)
38 |             else:
39 |                 roots = Fermat.fermat_factor(rsadata.get_n())
40 | 
41 |             if roots != None:
42 |                 rsadata.set_d(compute_priv_rsa_exp(rsadata.get_e(), roots))
43 |                 success = True
44 |         
45 |         if success:     
46 |             print("Fermat: Success, roots found, assigned in rsadata.")
47 |         else:           
48 |             print("Fermat: Failure, roots not found.")
49 |         return success  
50 | 
51 |     
52 |     @staticmethod   
53 |     def fermat_factor(n, limit = 1000000):
54 |         
55 |         """ Attempt to factor n using fermat factorization
56 |         
57 |             Args:
58 |                 n: The modulus to factor
59 |                 limit: Limits the runtime of this function
60 | 
61 |             Assumptions:
62 |                 n is the product of 2 primes p and q
63 | 
64 |             Return:
65 |                 The two prime factors p and q
66 |         """             
67 | 
68 |         a, exact = integer_nthroot(n, 2)
69 |         _max = a + limit
70 |         while a < _max:
71 |             b2 = a*a - n
72 |             if b2 >= 0:
73 |                 b, exact = integer_nthroot(b2, 2)
74 |                 if b != None:
75 |                     if b*b == b2:
76 |                         break
77 |             a += 1
78 |         if a < _max:
79 |             p = a+b
80 |             q = a-b
81 |             return p, q
82 |         else:
83 |             return None
84 | 
85 |         
86 | 
87 | 
88 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/franklin_reiter.py:
--------------------------------------------------------------------------------
 1 | """ Class defintion for the Franklin Reiter related message attack 
 2 | 
 3 |     Much of the code in this file is derived from the writeup
 4 |     located at: ahack.ru/write-ups/ructf-quals-14.htm
 5 | """
 6 | sage_present = True
 7 | try:
 8 |     from sage.all_cmdline import *
 9 | except ImportError:
10 |     sage_present = False
11 | 
12 | from RSAExploits.exploits.exploit import Exploit
13 | 
14 | 
15 | class Franklin_Reiter(Exploit):
16 |     """ Class providing a run interface to Franklin Reiter's attack """
17 | 
18 |     def run(self, rsadata_list, info_dict = None):
19 |         """ Recovers plaintext message using Franklin-Reiter's attack
20 | 
21 |             This attack should work as long as the provided parameters
22 |             are correct. However, if the public exponent e is not small,
23 |             it may run for a long time.
24 |     
25 |             Args:
26 |                 rsadata_list: A list of RSA_Data objects on which to attempt the
27 |                               boneh durfee exploit
28 |                 info_dict: Specifies the relationship between the two plaintext
29 |                            messages as a polynomial under the key "Franklin_Reiter"
30 | 
31 |             Side Effects: 
32 |                 If a message is recovered, the corresponding field in the
33 |                 RSA_Data objects will be set
34 | 
35 |             Return: 
36 |                 True if the attack completes
37 |         """
38 |         
39 |         global sage_present
40 |         success = False
41 |         
42 |         if not sage_present:
43 |             print "Franklin Reiter: Sage required, skipping exploit"
44 |             return success
45 | 
46 |         if len(rsadata_list) != 2:
47 |             print "Franklin Reiter: Exactly 2 RSA_Data objects must be provided"
48 |             return success
49 |         
50 |         if info_dict == None or "Franklin_Reiter" not in info_dict:
51 |             print "Franklin Reiter: Polynomial relationship between messages required"
52 |             return success
53 |         
54 |         print ("Franklin Reiter: Running Attack...")
55 |         success = True  
56 |         n = rsadata_list[0].get_n()
57 |         e = rsadata_list[0].get_e()
58 |         c1 = rsadata_list[0].get_c()
59 |         c2 = rsadata_list[1].get_c()
60 |         poly = info_dict["Franklin_Reiter"]
61 |         msg = Franklin_Reiter.franklin_reiter(n, e, c1, c2, poly)
62 |         rsadata_list[0].set_m(msg)
63 |         rsadata_list[1].set_m(msg)
64 |         print ("Franklin Reiter: Message recovered")
65 |         return success
66 | 
67 |     @staticmethod
68 |     def franklin_reiter(n, e, c1, c2, poly):
69 |         """ Recover the plaintext message using franklin-reiter attack """
70 |         x = PolynomialRing(ZZ.quo(n*ZZ), 'x').gen()
71 |         poly1 = poly**e - c1
72 |         poly2 = x**e-c2
73 |         coefs = Franklin_Reiter.poly_gcd(poly1, poly2)
74 |         msg = int(-pow(coefs[1], -1, n) * coefs[0])
75 |         return msg
76 | 
77 |     @staticmethod
78 |     def poly_gcd(poly1, poly2):
79 |         """ Compute the gcd of two polynomials """
80 |         a = poly1
81 |         b = poly2
82 |         i = 0
83 | 
84 |         while True:
85 |             r = a % b
86 |             if r == 0:
87 |                 c = rp.coeffs()
88 |                 return c
89 |             rp = r
90 |             a, b = b, r
91 |             i += 1
92 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/hastad.py:
--------------------------------------------------------------------------------
  1 | """ Class defintion for simple hastad broadcast exploit """
  2 | 
  3 | from RSAExploits import util
  4 | from RSAExploits.exploits.exploit import Exploit
  5 | 
  6 | class Hastad(Exploit):
  7 |     """ Class providing a run interface to hastad broadcast exploit"""
  8 |     
  9 |     def run(self, rsadata_list, info_dict = None):
 10 |         """ Attempts to recover plaintext using Hastad's broadcast attack 
 11 | 
 12 |             This attack works when we have a list of RSA_Data objects such
 13 |             that the length of the list is greater than or equal to e, 
 14 |             unique and coprime moduli are used for each encryption, and the
 15 |             same plaintext message is encrypted to generate all ciphertexts.
 16 |     
 17 |             Args:
 18 |                 rsadata_list: A list of RSA_Data objects on which to attempt
 19 |                               Hastad's exploit
 20 |                 info_dict: Not currently used
 21 | 
 22 |             Assumptions:
 23 |                 None of the RSA_Data objects in rsadata_list have the same 
 24 |                 public exponent e, same id number, and same modulus N. This 
 25 |                 should be prevented by calling the remove_duplicates() function 
 26 |                 in RSA_Data.py
 27 | 
 28 |             Side Effects: 
 29 |                 If a message is recovered, the corresponding RSA_Data objects
 30 |                 will be updated with this information
 31 | 
 32 |             Return: 
 33 |                 True if at least one message was recovered
 34 |         """
 35 |         
 36 |         print ("Hastad: Running Attack...")
 37 |         success = False     
 38 |         e_id_dict = self.group_by_e_and_id(rsadata_list)
 39 |         for group in e_id_dict:
 40 |             msg = self.hastad_broadcast_exploit(e_id_dict[group])
 41 |             if msg != None:
 42 |                 success = True 
 43 |                 for rsadata in e_id_dict[group]:
 44 |                     rsadata.set_m(msg)              
 45 |         if success:
 46 |             print("Hastad: Success, message found.")                            
 47 |         else:           
 48 |             print("Hastad: Failure, message not found.")
 49 |         return success
 50 |             
 51 |     @staticmethod
 52 |     def group_by_e_and_id(rsadata_list):
 53 |         """ Group the RSA_Data objects by public exponent and id """
 54 |  
 55 |         e_id_dict = {}
 56 |     
 57 |         for rsadata in rsadata_list:
 58 |         
 59 |             # Only consider entries with an ID number
 60 |             if rsadata.get_id() == None:
 61 |                 continue
 62 | 
 63 |             # Only consider entries with a ciphertext
 64 |             if rsadata.get_c() == None:
 65 |                 continue
 66 | 
 67 |             # If the (e, idnum) tuple already exists in the dictionary, just
 68 |             # append the new entry to the already existing list
 69 |             if (rsadata.get_e(), rsadata.get_id()) in e_id_dict:
 70 |                 e_id_dict[(rsadata.get_e(), rsadata.get_id())].append(rsadata)
 71 | 		
 72 |             # Otherwise, create a new list for the new tuple
 73 |             else:
 74 |                 e_id_dict[(rsadata.get_e(), rsadata.get_id())] = [rsadata]
 75 | 
 76 |         return e_id_dict
 77 |     
 78 | 
 79 |     @staticmethod
 80 |     def hastad_broadcast_exploit(rsadata_list):
 81 |         """ Recover the plaintext message using chinese remainder theorem """   
 82 |        
 83 |         e = rsadata_list[0].get_e() 
 84 |         if len(rsadata_list) < e:
 85 |             return None
 86 | 
 87 |         ns = []
 88 |         cs = []
 89 | 
 90 |         for index in range(e):
 91 |             ns.append(rsadata_list[index].get_n())
 92 |             cs.append(rsadata_list[index].get_c())
 93 | 
 94 |         s = util.crt(ns, cs)
 95 |         pt = util.int_nthroot(s, e)
 96 |         if pt is not None:
 97 |             return pt
 98 |         else:
 99 |             return None
100 | 
101 |             
102 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/qsieve.py:
--------------------------------------------------------------------------------
 1 | """ Class defintion for quadratic sieve factorization """
 2 | 
 3 | sage_present = True
 4 | try:
 5 |     from sage.all_cmdline import *
 6 | except ImportError:
 7 |     sage_present = False
 8 | from RSAExploits.util import compute_priv_rsa_exp
 9 | from RSAExploits.exploits.exploit import Exploit
10 | 
11 | class Qsieve(Exploit):
12 | 
13 |     def run(self, rsadata_list, info_dict = None):
14 |         """ Factors moduli using quadratic sieve factorization 
15 | 
16 |             This is currently the 2nd fastest known general purpose
17 |             factoring algorithm
18 |     
19 |             Args:
20 |                 rsadata_list: A list of RSA_Data objects with moduli to factor
21 |                 info_dict: Not currently used in this exploit
22 | 
23 |             Side Effects: 
24 |                 If a modulus is factored, the corresponding RSA_Data object's
25 |                 private key will be computed and initialized
26 | 
27 |             Return: 
28 |                 True if at least one modulus was factored
29 |         """
30 | 
31 |         global sage_present
32 |         success = False
33 |         
34 |         if not sage_present:
35 |             print "Qsieve Factoring: Sage required, skipping exploit"
36 |             return success 
37 | 
38 |         print ("Qsieve Factoring: Running Attack...")
39 | 
40 |         for rsadata in rsadata_list:
41 |             roots = qsieve(rsadata.get_n())
42 |             if roots != None:
43 |                 rsadata.set_d(compute_priv_rsa_exp(rsadata.get_e(), roots[0]))
44 |                 success = True
45 |     
46 |         if success:     
47 |             print("Qsieve Factoring: Success, roots found, assigned in rsadata.")                       
48 |         else:           
49 |             print("Qsieve Factoring: Failure, roots not found.")
50 | 
51 |         return success
52 | 


--------------------------------------------------------------------------------
/RSAExploits/exploits/wiener.py:
--------------------------------------------------------------------------------
  1 | """ Class defintion for Wiener's attack """
  2 | 
  3 | import re
  4 | import math
  5 | from sympy.solvers import solve
  6 | from sympy.core.numbers import Integer
  7 | from sympy import Symbol
  8 | from RSAExploits.exploits.exploit import Exploit
  9 | from RSAExploits.util import compute_priv_rsa_exp
 10 | 
 11 | class Wiener(Exploit):
 12 |     """ Class providing a run interface to Wiener's attack """
 13 | 
 14 |     def run(self, rsadata_list, info_dict = None):
 15 |         """ Attempts to recover private exponent using Wiener's attack
 16 | 
 17 |             This attack works when the private key d is < N ^ 0.25. 
 18 |             
 19 |             Args:
 20 |                 rsadata_list: A list of RSA_Data objects on which to attempt
 21 |                               Wiener's attack
 22 |                 info_dict: Not currently used
 23 | 
 24 |             Side Effects: 
 25 |                 If a private key is recovered, the corresponding field in the
 26 |                 RSA_Data object will be set
 27 | 
 28 |             Return: 
 29 |                 True if at least one private key is recovered
 30 |         """
 31 |     
 32 |         print ("Wiener: Running Attack...")
 33 |         success = False
 34 | 
 35 |         for rsadata in rsadata_list:
 36 |             roots = self.wiener_attack(rsadata.get_n(), rsadata.get_e())
 37 |                 
 38 |             # If wiener's attack was successful for the current rsaData object
 39 |             if roots != None:
 40 |                 rsadata.set_d(compute_priv_rsa_exp(rsadata.get_e(), roots))
 41 |                 success = True
 42 | 
 43 |         if success:     
 44 |             print("Wiener: Success, roots found, assigned in rsadata.")
 45 |             return True                         
 46 |         else:           
 47 |             print("Wiener: Failure, roots not found.")
 48 |             return False
 49 | 
 50 |     @staticmethod
 51 |     def conFraction(fraction):
 52 |         (a,b) = fraction
 53 |         v=[]
 54 |         v.append(0)
 55 |         while not a == 1:
 56 |             (x,y) = fraction
 57 |             try:
 58 |                 r =  y / x
 59 |                 a = y % x
 60 |             except ZeroDivisionError as details:
 61 |                 print ("Exception occured:",details)
 62 |                 print("Continuing to next RSA data...")
 63 |                 return None
 64 |             b=x
 65 |             fraction = (a,b)
 66 |             v.append(r)
 67 |         v.append(b)
 68 |         return v
 69 | 
 70 |     @staticmethod
 71 |     def makeIndexedConvergent(sequence, index):
 72 |         (a,b)=(1,sequence[index])
 73 |         while index>0:
 74 |             index-=1
 75 |             (a,b)=(b,sequence[index]*b+a)
 76 |         return (b,a)
 77 | 
 78 |     @staticmethod
 79 |     def makeConvergents(sequence):
 80 |         r=[]
 81 |         for i in xrange(0,len(sequence)):
 82 |             r.append(Wiener.makeIndexedConvergent(sequence,i))
 83 |         return r
 84 | 
 85 |     @staticmethod
 86 |     def wiener_attack(N,e):
 87 |         v = Wiener.conFraction((e,N))
 88 |         if v is None:
 89 |             return None
 90 |         conv = Wiener.makeConvergents(v)
 91 |         for frac in conv:
 92 |             (k,d)=frac
 93 |             if k == 0:
 94 |                 continue
 95 |             phiN=((e*d)-1)/k
 96 |             if ((pow(N-phiN+1, 2) - 4*N) <= 0 ): # (b^2 -4ac) <= 0 
 97 |                 continue
 98 |                 
 99 |             # solving equation (a**2 + b*x + c)
100 |             x = Symbol('x', integer=True)
101 |             roots = []
102 |             roots = solve(x**2 -(N-phiN+1)*x + N, x, rational=False)
103 |      
104 |             if len(roots) == 2:
105 |                 if type(roots[0]) is Integer and type(roots[0]) is Integer:
106 |                              
107 |                     if(roots[0]*roots[1] == N):
108 |                         return roots
109 |          
110 | 
111 | 


--------------------------------------------------------------------------------
/RSAExploits/rsa_cracker.py:
--------------------------------------------------------------------------------
 1 | """ RSA_Cracker: Cracks RSA key set by using various attacks """
 2 | 
 3 | from RSAExploits.exploits.common_modulus import Common_Modulus
 4 | from RSAExploits.exploits.wiener import Wiener
 5 | from RSAExploits.exploits.boneh_durfee import Boneh_Durfee
 6 | from RSAExploits.exploits.hastad import Hastad
 7 | from RSAExploits.exploits.fermat import Fermat
 8 | from RSAExploits.exploits.common_factor import Common_Factor
 9 | from RSAExploits.exploits.franklin_reiter import Franklin_Reiter
10 | 
11 | __Exploit_Classes__ = []
12 | 
13 | def init():
14 |     """ Populate the Exploit_Classes list with exploits to run """
15 |     global __Exploit_Classes__
16 | 
17 |     __Exploit_Classes__ = []
18 |     __Exploit_Classes__.append(Franklin_Reiter())
19 |     __Exploit_Classes__.append(Common_Modulus())
20 |     __Exploit_Classes__.append(Common_Factor())
21 |     __Exploit_Classes__.append(Wiener())
22 |     __Exploit_Classes__.append(Boneh_Durfee())
23 |     __Exploit_Classes__.append(Hastad())
24 |     __Exploit_Classes__.append(Fermat())
25 | 
26 | def attack(rsadata_list, info_dict = None, break_on_success = True):
27 |     """ Run all of the exploits in the list on the provided rsadata objects
28 | 
29 |         Args:
30 |             rsadata_list: A list of RSA_Data objects to exploit
31 |             info_dict: Dictionary providing extra info to certain exploits
32 |             break_on_success: Stop after first successful exploit if true
33 |     """
34 |     
35 |     success = False
36 |     for exploit in __Exploit_Classes__:
37 |         if exploit.run(rsadata_list, info_dict):
38 |             success = True
39 |         if success and break_on_success:
40 |             return success
41 | 
42 | 


--------------------------------------------------------------------------------
/RSAExploits/rsa_data.py:
--------------------------------------------------------------------------------
  1 | """ The class defintion for RSAData """
  2 |     
  3 | from Crypto.PublicKey import RSA
  4 | import fractions 
  5 | import random
  6 | 
  7 | class RSAData:
  8 |     """ Conttains all RSA information used by currently implemented exploits
  9 | 
 10 |         RSAData is built on top of two other classes. The first is the RSAObj
 11 |         taken from the pycrypto library. This class stores the RSA modulus n,
 12 |         public exponent e, private exponent d, and prime factors p and q. We
 13 |         currently leverage the decrypt method from RSAObj. The second class is
 14 |         TextData which currently holds the ciphertext/plaintext
 15 |         information.
 16 | 
 17 |         Unfortunately the underlying implementation of RSAData is not
 18 |         completely hidden from the user given the way the __init__ function
 19 |         receives parameters. However, from a user's perspective, RSAData
 20 |         should be a container that has the following fields (along with an
 21 |         encrypt and decrypt function):
 22 | 
 23 |         n: RSA modulus
 24 |         e: Public exponent
 25 |         d: Private exponent
 26 |         p: First prime factor
 27 |         q: Second prime factor
 28 |         c: Ciphertext
 29 |         m: Plaintext
 30 |         id_num: Used to specify which ciphertexts are generated from the
 31 |                 same plaintext
 32 |     """
 33 | 
 34 |     def __init__(self, rsaobj, txt=None):
 35 |         """ Initialize the 2 classes using the provided parameters """
 36 |         self.rsaobj = rsaobj
 37 |         self.txt = txt
 38 | 	
 39 |     def encrypt(self):
 40 |         """ Encrypt the current plaintext and assign it to the ciphertext """
 41 |         if self.get_m() != None:
 42 |             c_text = self.rsaobj.encrypt(long(self.get_m()))
 43 |             self.set_c(c_text)	
 44 |             return True
 45 |         else:
 46 |             return False
 47 |             
 48 |     def decrypt(self):
 49 |         """ Encrypt the current ciphertext and assign it to the plaintext """
 50 |         if self.get_c() != None and self.rsaobj.has_private():
 51 |             m_text = self.rsaobj.decrypt(self.get_c())
 52 |             self.set_m(m_text)	
 53 |             return True 
 54 |         else:
 55 |             return False
 56 | 
 57 |     def get_e(self):
 58 |         """ Return the public exponent """
 59 |         if hasattr(self.rsaobj, "e"):
 60 |             return self.rsaobj.e
 61 |         else:
 62 |             return None
 63 | 
 64 |     def set_e(self, key_e):
 65 |         """ Set the public exponent """
 66 |         self.rsaobj = rsa_obj(self.get_n(), key_e, self.get_d(), \
 67 |                             self.get_p(), self.get_q())
 68 | 
 69 |     def get_p(self):
 70 |         """ Return the first prime factor """
 71 |         if hasattr(self.rsaobj, "p"):
 72 |             return self.rsaobj.p
 73 |         else:
 74 |             return None
 75 |     
 76 |     def set_p(self, key_p):
 77 |         """ Set the first prime factor """
 78 |         self.rsaobj = rsa_obj(self.get_n(), self.get_e(), \
 79 |                               self.get_d(), key_p, self.get_q())
 80 | 
 81 |     def get_q(self):
 82 |         """ Return the second prime factor """
 83 |         if hasattr(self.rsaobj, "q"):
 84 |             return self.rsaobj.q
 85 |         else:
 86 |             return None
 87 |     
 88 |     def set_q(self, key_q):
 89 |         """ Set the second prime factor """
 90 |         self.rsaobj = rsa_obj(self.get_n(), self.get_e(), \
 91 |                               self.get_d(), self.get_p(), key_q)
 92 | 
 93 |     def get_n(self):
 94 |         """ Return the modulus """
 95 |         if hasattr(self.rsaobj, "n"):
 96 |             return self.rsaobj.n
 97 |         else:
 98 |             return None
 99 |     
100 |     def set_n(self, key_n):
101 |         """ Set the modulus """
102 |         self.rsaobj = rsa_obj(key_n, self.get_e(), self.get_d(), \
103 |                               self.get_p(), self.get_q())
104 |     
105 |     def get_d(self):
106 |         """ Return the private exponent """
107 |         if hasattr(self.rsaobj, "d"):
108 |             return self.rsaobj.d
109 |         else:
110 |             return None
111 | 
112 |     def set_d(self, key_d):
113 |         """ Set the private exponent """
114 |         self.rsaobj = rsa_obj(self.get_n(), self.get_e(), key_d, \
115 |                               self.get_p(), self.get_q())
116 | 
117 |     def get_c(self):
118 |         """ Return the ciphertext """
119 |         if self.txt == None:
120 |             return None
121 |         return self.txt.c
122 |     
123 |     def set_c(self, c_text):
124 |         """ Set the ciphertext """
125 |         if self.txt == None:
126 |             self.txt = TextData(c=c_text)
127 |             return
128 | 
129 |         self.txt = TextData(c_text=c_text, idnum=self.get_id(), \
130 |                             m_text=self.get_m())
131 | 
132 |     def get_m(self):
133 |         """ Return the plaintext """
134 |         if self.txt == None:
135 |             return None
136 |         return self.txt.m
137 |     
138 |     def set_m(self, m_text):
139 |         """ Set the plaintext """
140 |         if self.txt == None:
141 |             self.txt = TextData(m_text=m_text)
142 |             return
143 |         self.txt = TextData(c_text=self.get_c(), idnum=self.get_id(), \
144 |                             m_text=m_text)
145 | 
146 |     def get_id(self):
147 |         """ Return the id """
148 |         if self.txt == None:
149 |             return None
150 |         return self.txt.idnum
151 |     
152 |     def set_id(self, idnum):
153 |         """ Set the id """
154 |         if self.txt == None:
155 |             self.txt = TextData(idnum=idnum)
156 |             return
157 |         self.txt = TextData(c_text=self.get_c(), idnum=idnum, \
158 |                             m_text=self.get_m())
159 | 
160 | 
161 | def rsa_obj(key_n, key_e, key_d=None, key_p=None, key_q=None):
162 |     """ Wrapper for the RSAObj constructor
163 | 	
164 |         The main reason for its existance is to compute the
165 |         prime factors if the private exponent d is being set.
166 |         In testing, the construct method threw exceptions because
167 |         it wasn't able to compute the prime factors. The 
168 |         recover_prime_factors function seems work better.
169 |     """	
170 |     if key_n != None and key_e != None and key_d == None \
171 |     and key_p == None and key_q == None:
172 |         key = RSA.construct((key_n, key_e))
173 |     elif key_n != None and key_e != None and key_d != None \
174 |     and key_p == None and key_q == None:
175 |         key_p, key_q = recover_prime_factors(key_n, key_e, key_d)		
176 |         key = RSA.construct((key_n, key_e, key_d, long(key_p), long(key_q)))
177 |     elif key_n != None and key_e != None and key_d != None \
178 |     and key_p != None and key_q == None:				
179 |         key = RSA.construct((key_n, key_e, key_d, key_p, key_n/key_p))	
180 |     elif key_n != None and key_e != None and key_d != None \
181 |     and key_p != None and key_q != None:
182 |         key = RSA.construct((key_n, key_e, key_d, key_p, key_q))
183 |     return key	
184 | 
185 | class TextData:
186 |     """ At the moment, a container for the cipher/plaintext information """
187 |     def __init__(self, c_text=None, idnum=None, m_text=None):
188 |         """ Standard initializer """
189 |         self.c = c_text
190 |         self.idnum = idnum
191 |         self.m = m_text
192 | 
193 |  
194 | def fail_function():
195 |     """ Basic fail function for recover_prime_factors() """
196 |     print("Prime factors not found")
197 |  
198 | def output_primes(a_num, n_num):
199 |     """ Returns the recovered prime factors """
200 |     p_num = fractions.gcd(a_num, n_num)
201 |     q_num = int(n_num / p_num)
202 |     if p_num > q_num:
203 |         p_num, q_num = q_num, p_num
204 |     return p_num, q_num
205 |  
206 |  
207 | def recover_prime_factors(key_n, key_e, key_d):
208 |     """The following algorithm recovers the prime factor
209 |         s of a modulus, given the public and private
210 |         exponents.
211 |         Function call: RecoverPrimeFactors(n, e, d)
212 |         Input:  n: modulus
213 |                 e: public exponent
214 |                 d: private exponent
215 |         Output: (p, q): prime factors of modulus"""
216 |  
217 |     k_num = key_d * key_e - 1
218 |     if k_num % 2 == 1:
219 |         fail_function()
220 |         return 0, 0
221 |     else:
222 |         t_num = 0
223 |         r_num = k_num
224 |         while(r_num % 2 == 0):
225 |             r_num = int(r_num / 2)
226 |             t_num += 1
227 |         for i_num in range(1, 101):
228 |             g_num = random.randint(0, key_n) # random g in [0, n-1]
229 |             y_num = pow(g_num, r_num, key_n)
230 |             if y_num == 1 or y_num == key_n - 1:
231 |                 continue
232 |             else:
233 |                 for j_num in range(1, t_num): # j \in [1, t-1]
234 |                     x_num = pow(y_num, 2, key_n)
235 |                     if x_num == 1:
236 |                         key_p, key_q = output_primes(y_num - 1, key_n)
237 |                         return key_p, key_q
238 |                     elif x_num == key_n - 1:
239 |                         continue
240 |                     y_num = x_num
241 |                     x_num = pow(y_num, 2, key_n)
242 |                     if  x_num == 1:
243 |                         key_p, key_q = output_primes(y_num - 1, key_n)
244 |                         return key_p, key_q
245 | 
246 | 


--------------------------------------------------------------------------------
/RSAExploits/util.py:
--------------------------------------------------------------------------------
  1 | """ Contains functions common to many exploits """
  2 | 
  3 | from sympy import integer_nthroot
  4 | from fractions import gcd
  5 | from Crypto.Util.asn1 import DerSequence
  6 | from Crypto.PublicKey import RSA
  7 | from binascii import a2b_base64
  8 | 
  9 | def num2string(hexnum):
 10 |     """ Interprets a hex number as ASCII """
 11 |     if hexnum == None:
 12 |         return None
 13 |     else:
 14 |         string = hex(hexnum)[2:-1]
 15 |         if len(string) % 2 != 0:
 16 |             string = '0' + string
 17 |         return string.decode('hex')
 18 | 
 19 | def compute_priv_rsa_exp(key_e, prime_factors_list):
 20 |     """ Compute RSA private key
 21 | 
 22 |         Computes an RSA private key given a public exponent
 23 |         e and a list of the primes factors of the modulus
 24 |     """
 25 |     totient = totient_from_primes(prime_factors_list)
 26 |     key_d = long(int(mod_inv(key_e, totient)))
 27 |     return key_d
 28 | 
 29 | def totient_from_primes(prime_factors_list):
 30 |     """ Compute euler's phi function from prime factors
 31 | 
 32 |         Computes the euler's phi function of the number that is the
 33 |         product of the provided list of primes
 34 |     """
 35 |     totient = 1
 36 |     for factor in prime_factors_list:
 37 |         totient = totient * (factor - 1)
 38 |     return totient
 39 | 
 40 | def coprime(num1, num2):
 41 |     """ Returns True if n1 and n2 are coprime and False otherwise """
 42 |     return gcd(num1, num2) == 1
 43 | 
 44 | def is_printable(str1, codec='utf8'):
 45 |     """ Returns True if s can be decoded using the specified codec """
 46 |     try: 
 47 |         str1.decode(codec)
 48 |     except UnicodeDecodeError: 
 49 |         return False
 50 |     else: 
 51 |         return True
 52 | 
 53 | def int_nthroot(num, nthroot):  
 54 |     """ Returns the nth root of r if it is an integer and None otherwise """    
 55 |     (root, exact) = integer_nthroot(num, nthroot)
 56 |     if exact:
 57 |         return root
 58 |     else:
 59 |         return None
 60 | 
 61 | def crt(divs, rems):
 62 |     '''
 63 |     Chinese Remainder Theorem
 64 |     ds: array of dividers
 65 |     rs: array of remainders
 66 |     Return the number s such that s mod ds[i] = rs[i]
 67 |     '''
 68 |     length = len(divs)
 69 |     if not length == len(rems):
 70 |         print "The lengths of the two must be the same"
 71 |         return None
 72 | 
 73 |     p_num = i_num = prod = 1 
 74 |     s_num = 0
 75 |     for i_num in range(length): 
 76 |         prod *= divs[i_num]
 77 |     for i_num in range(length):
 78 |         p_num = prod / divs[i_num]
 79 |         s_num += rems[i_num] * mod_inv(p_num, divs[i_num]) * p_num
 80 |     return s_num % prod
 81 | 
 82 | def mod_inv(a_num, mod):
 83 |     '''
 84 |     Return r such that a*r mod m = 1
 85 |     '''
 86 |     g_num, x_num, y_num = egcd(a_num, mod)
 87 |     if g_num != 1:
 88 |         print("no inverse")
 89 |         return None
 90 |     else:
 91 |         return x_num % mod
 92 | 
 93 | def egcd(a_num, b_num):
 94 |     '''
 95 |     Extended Euclidean gcd. Return g, x, y such that ax+by=g=gcd(a, b)
 96 |     '''
 97 |     if a_num == 0: 
 98 |         return (b_num, 0, 1)
 99 |     else:
100 |         g_num, y_num, x_num = egcd(b_num % a_num, a_num)
101 |         return (g_num, x_num-(b_num//a_num)*y_num, y_num)
102 |         
103 | def extract_key_from_pem(pemfile):
104 |     """ Returns extracted key from a pem file """       
105 |     try:
106 |         f_desc = open(pemfile, 'r')
107 |     except IOError:
108 |         print "Error: PEM file not found"
109 |     else:
110 |         pem = f_desc.read()
111 |         
112 |         lines = pem.replace(" ", '').split()
113 |         der = a2b_base64(''.join(lines[1:-1]))
114 | 
115 |         # Extract subjectPublicKeyInfo field from X.509 certificate(see RFC3280)
116 |         cert = DerSequence()
117 |         cert.decode(der)
118 |         tbs_certificate = DerSequence()  
119 |         tbs_certificate.decode(cert[0])
120 |         subject_public_key_info = tbs_certificate[6]
121 | 
122 |         # Initialize RSA key
123 |         rsa_key = RSA.importKey(subject_public_key_info)
124 |         
125 |         f_desc.close()
126 |         return rsa_key      
127 | 


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/dist/RSAExploits-0.1.0.tar.gz:
--------------------------------------------------------------------------------
https://raw.githubusercontent.com/vik001ind/RSAExploits/3c54f0a5e7227a2ce3de801fc8bab74b1efe2e78/dist/RSAExploits-0.1.0.tar.gz


--------------------------------------------------------------------------------
/setup.py:
--------------------------------------------------------------------------------
 1 | from distutils.core import setup
 2 | 
 3 | setup(
 4 |     name='RSAExploits',
 5 |     version='0.1.0',
 6 |     author='Kumar Vikramjeet, Eric Azebu',
 7 |     author_email='',
 8 |     packages=['RSAExploits', 'RSAExploits.exploits'],
 9 |     license='LICENSE.txt',
10 |     description='Collection of RSA exploits',
11 |     long_description=open('README.md').read(),
12 |     setup_requires=["pycrypto >= 2.4.1","sympy >= 0.7.1.rc1",],
13 |     install_requires=[
14 |         "pycrypto >= 2.4.1",
15 |         "sympy >= 0.7.1",       
16 |     ],
17 | )
18 | 


--------------------------------------------------------------------------------
/test_files/boneh_durfee_test.py:
--------------------------------------------------------------------------------
 1 | from RSAExploits import rsa_cracker
 2 | from RSAExploits import RSAData
 3 | from RSAExploits import rsa_obj
 4 | from RSAExploits import TextData
 5 | from RSAExploits import num2string
 6 | from RSAExploits import Boneh_Durfee
 7 | import sys
 8 | 
 9 | sys.setrecursionlimit(10000)
10 | 
11 | # Parse and store all of the ciphertexts provided by the file
12 | rsadata_list = []
13 | c = None
14 | e = None
15 | N = None
16 | f = open("wiener_list.txt", 'r')
17 | for line in f:
18 |     line = line.strip("{}").split(":")
19 |     N = long(line[0], 0)
20 |     e = long(line[1], 0)
21 |     c = long(line[2].split("}")[0], 0)
22 |     rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c)))
23 | f.close()
24 | 
25 | # Run the exploit by specifying it
26 | if Boneh_Durfee().run(rsadata_list):
27 |     for rsadata in rsadata_list:
28 |         if rsadata.get_d() != None and rsadata.get_c() != 0:
29 |             rsadata.decrypt()
30 |             print num2string(rsadata.get_m())
31 | 
32 | print "----------------------------------------------------"
33 | 
34 | # Run list of exploits
35 | # Not done because Wiener will solve it first
36 | 


--------------------------------------------------------------------------------
/test_files/common_factor_test.py:
--------------------------------------------------------------------------------
 1 | from RSAExploits import rsa_cracker
 2 | from RSAExploits import RSAData
 3 | from RSAExploits import rsa_obj
 4 | from RSAExploits import TextData
 5 | from RSAExploits import num2string
 6 | from RSAExploits import Common_Factor
 7 | import sys
 8 | 
 9 | sys.setrecursionlimit(10000)
10 | 
11 | # Parse and store all of the ciphertexts provided by the file
12 | rsadata_list = []
13 | c = None
14 | e = None
15 | N = None
16 | f = open("common_factor_test.txt", 'r')
17 | for line in f:
18 | 	if line.startswith("ciphertext"):
19 | 		c = long(line.split(" ")[2], 0)
20 | 	elif line.startswith("e"):
21 | 		e = long(line.split(" ")[2])
22 | 	elif line.startswith("N"):
23 | 		N = long(line.split(" ")[2], 0)
24 | 		rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c)))
25 | f.close()
26 | 
27 | # Run the exploit by specifying it
28 | if Common_Factor().run(rsadata_list):
29 |     for rsadata in rsadata_list:
30 |         if rsadata.get_d() != None and rsadata.get_c() != 0:
31 |             rsadata.decrypt()
32 |             print num2string(rsadata.get_m())
33 | 
34 | print "----------------------------------------------------"
35 | 
36 | # Run list of exploits
37 | rsa_cracker.init()
38 | if rsa_cracker.attack(rsadata_list):
39 |     for rsadata in rsadata_list:
40 |         if rsadata.get_d() != None and rsadata.get_c() != 0:
41 |             rsadata.decrypt()
42 |             print num2string(rsadata.get_m())
43 | 


--------------------------------------------------------------------------------
/test_files/common_factor_test.txt:
--------------------------------------------------------------------------------
  1 | ciphertext = 0x0
  2 | e = 65537
  3 | N = 0x9bd81d1485b39495b0506728527602e9d930a0d73a9e3df7439b056a218a6c4f6c761d651edae9b3441d5ef60b1d625c081906d87b9db8fa79d855efa263c7e235d6e013c94b8738c016f0908243257768678440ba99b8762993937d883b7357381a007bf29800e6066f531027f51fd92c16e67200da385adf744260206bb73bL
  4 | 
  5 | ciphertext = 0x0
  6 | e = 65537
  7 | N = 0xb1d89966b4e656cd32f55231292d1157a38de0e05d1f12035512da25610d4b694f20c1436f14521494656f4262afd25caf9247a9d53acfdefbae0b200b0c0aa6f6d0675ad296f51207ce515cd15c43b44e8ab7df4f7052ec251ed27108a521cc7111c3dcb0426bedd38656d85b4656b83ae9dcec1dae31af3b6868c802fd7737L
  8 | 
  9 | ciphertext = 0x0
 10 | e = 65537
 11 | N = 0xad6597032a2b47677aa5faa38998d9af4dee9b075777e0a4504f2d408a0294b232748da729f2daf704d7ed94acea2ae39585948ab1bed929335bcf932a26b032e59d6b413394b77a2343c30cbcbaeaa36f7abdac43cb79850376c0db8c06bb666a1c2c6c47570bd859ffe1312fc4ff7999e39ee1d0ff9ab967185759d954fba3L
 12 | 
 13 | ciphertext = 0x0
 14 | e = 65537
 15 | N = 0xa05fda87850c684d410680f6de6303a7591e67bdad2d8166f2d4222545f0b16728615d0b543e56d697f1c77095b9328daf8a4dadb662295b3d8ad781e7bb7dd9013a5bde03da61c20afe8dcb7f5571bcb454c33fbb3a094e35370769a2fad3ade211569b141203394663990b8b36e8ac67be08ecdc9ed37e3104e5b9b41c5f75L
 16 | 
 17 | ciphertext = 0x49f573321bdb3ad0a78f0e0c7cd4f4aa2a6d5911c90540ddbbaf067c6aabaccde78c8ff70c5a4abe7d4efa19074a5249b2e6525a0168c0c49535bc993efb7e2c221f4f349a014477d4134f03413fd7241303e634499313034dbb4ac96606faed5de01e784f2706e85bf3e814f5f88027b8aeccf18c928821c9d2d830b5050a1eL
 18 | e = 65537
 19 | N = 0xc20a1d8b3903e1864d14a4d1f32ce57e4665fc5683960d2f7c0f30d5d247f5fa264fa66b49e801943ab68be3d9a4b393ae22963888bf145f07101616e62e0db2b04644524516c966d8923acf12af049a1d9d6fe3e786763613ee9b8f541291dcf8f0ac9dccc5d47565ef332d466bc80dc5763f1b1139f14d3c0bae072725815fL
 20 | 
 21 | ciphertext = 0x0
 22 | e = 65537
 23 | N = 0xa6e54809e7867cf4fbc4da1f24993f03ddd85d4c624fb600d22f83839b45dc48dca38a3bb3b2b04790126f5705a6651c335281834a0888cb83685e6151983201d8d570c1f9c41be0fd432f49455e6042b92ce393ffcb79e95231ea1f16e6a5be173fa702d139920fca50a250b50230802a467f158b5b9d97874ea3c0408d7ed3L
 24 | 
 25 | ciphertext = 0x0
 26 | e = 65537
 27 | N = 0xa8fd269a05184dd3f59cceae4750d6e10805dffea44b40413cda19905090eed1dd35259a55acc9c1d875f5cb7e68a5800b1e3d71b058ffc53d3bb6990d7c8f34f03f9817b63e3e0fd84e137874b83a42d422832739f2af9bb96110158a2cbc8d510a16ae80c4f2d2d41575da342d89018237308f1e57bac256beef65f4c04433L
 28 | 
 29 | ciphertext = 0x0
 30 | e = 65537
 31 | N = 0xc09cbd27ee0abcfabf1dc1c48c54f9042842d01dfe8b41df696924f94f31635498c542ddd84ed64b339c62ec7c20cfe1da2471ff83fe713381d86de875bded7a33060d4cfad4001be9ae91599d37ce6fb91c01dd3392e3f61e83f0c0105a3fe592107f76970eb1f4dac73a2603f0df4bf06a3e32913eedf4efdfa09a287084c7L
 32 | 
 33 | ciphertext = 0x0
 34 | e = 65537
 35 | N = 0xaaaab30abbb73870d1fe8bda8af8e2eb2fa8d0e633aee4506d325bfc9ea744a2f9251eb1c4d2aca7978ac9ea5d1f149cd6c61d946a33377061946bf9cb3439179467b9edcd3c9e81651df500373ac740570cdebb9503353dca629e8b1676606129c82e6e85411461e31abae3c02a6de17ea102fe6eea4756cc3a9c2d0a076843L
 36 | 
 37 | ciphertext = 0x0
 38 | e = 65537
 39 | N = 0xb35c1ef9b9d6ba509de52e0a6bb387bd4d5738b63d223180fa5a26fe6c7c8682069bf9f880075742ad021eab3516f5cfdf2a526eaa70e556b27b8f4a72847ac75872ac1d82d499f084886d4a84c7a9e2a0a55c6a83d6b41b79a6beb553093f4d5c63f21eba9f3e0781c2bc6ef41a61b71a1273d84367988cbb34ee5f50e28955L
 40 | 
 41 | ciphertext = 0x0
 42 | e = 65537
 43 | N = 0x9f3d977cb5d20aedab3d85780b4e8767e2fb2588454e3fb199fc10109feeec2024b57b6404622ce1b31efedf8d190947e47d07b6c3935fa69c44b4e08ae8b676c3545218dee1a289dd7be8c6902f6e3af865a97637c0409c58721a5808517e578436033e51e627227c2e1f832ffb94ce6ca98e37d0ed5317dfa3b07210f22f57L
 44 | 
 45 | ciphertext = 0x0
 46 | e = 65537
 47 | N = 0xa4c3211c7d21abf9da1246f800b7261a3b60a637a0ba3ae17e5b4330f7259b6d94ff00f89ace47c173762d67d2957bbc5a050b6080459598f05e26181e481ffdcb84aa46a85f88e315f0723c349d225a00d22fdb7b01d5ca25fcaae790dae11d5166912efffdc89964ec0c5e0cc9bb042b36fc8197f06a49a7bef752c19afc21L
 48 | 
 49 | ciphertext = 0x0
 50 | e = 65537
 51 | N = 0x99ed807831b10f3993b9e2a8a4d4fc3e1c836383e68884d8140d5ca333e3e6b4277729a46a2bf7b03198dbcc65b15a346dced787f7ada9292b27d9a7a342b72f87d78f54020a88a78b814b846dc698d3f3f00519a87ffc5eef109a222812bc918ed7a8765089925b71384dd0bd05ed4f85bb5e287f2a543cc59e67dfcce660e9L
 52 | 
 53 | ciphertext = 0x0
 54 | e = 65537
 55 | N = 0xc03567d6065b72d0c7e0a1e5d10d0b40f86f30581f2fa71c2d8dc99207d80682f4a27db23012819535b616d1e5c50f5cf9739cb5f188b378bb290c0253b684d3483668b7ccdede8a74bcb7d50f057f0d1fac9d89ef63dfb7b11169030c36516fce4268efc1b5709ecefed15d24945d2afcb598cd022d1114e53a07aeb63abca3L
 56 | 
 57 | ciphertext = 0x0
 58 | e = 65537
 59 | N = 0xb990ad5c2feb27b5f32f0c4cde0187c5c4a7d644bcab78f663c234637c525696775f51d1de7b2daa886185092e9994f527fc37583284a79dc9a814f76a02af0d2ef68c338f6c53a64f7c12c835d49004eb7b81621a011f68ec9aedbb755ef26dacc46acf52ba5971bc159398ac9b55cb5761ecd7305ceeef8f9ef815d6dc2577L
 60 | 
 61 | ciphertext = 0x0
 62 | e = 65537
 63 | N = 0x9ff7ce9470675d9d563138b74a724cedc35fa92a946601aa49c85dd71d008cb748ec5f55a63c8be95c3935349daed1b9f0309735d88de5102dad37eecb5d68152e5a73dacfebafbf6a98d62eb009981c750ee1833cd2f36b39ba7d5206d821131e97bb322ea00a948cb9fedec20ea50d4b652c34784a59f757232b0392bc707dL
 64 | 
 65 | ciphertext = 0x0
 66 | e = 65537
 67 | N = 0x9982a9c74ec6c286cb0d52d369cdafe5cde5c161e2c33b9300ff4e264fd0afe4217293c997ccfd0a4ffdd5c57d2cfd11b6c0265b4038b3eafbcb20036a34ecb1e6055bdfbdbf5d928cd619216e2cc5182da45be32d6dc6198246e638977349fe1a497685d019f63c33cca067d478af5eb463818db74bd221b46a0b2e99620a81L
 68 | 
 69 | ciphertext = 0x0
 70 | e = 65537
 71 | N = 0x996d0ddb5d1b87208546a6a2aaec5f90f66f9aa9b6326bbdaaf6e84784651ae70ef7d936f78ff0f06ecb3938fb2ad5afb4dcc9062bd9f1e74ad458148852091b809f67e33b330913a5ab39e855f091342edda0077c502bc321c537dfe76aa4760177da908e9fc2a3eefd30ebff5404a092b520253d01339e42420ffe69d8c163L
 72 | 
 73 | ciphertext = 0x0
 74 | e = 65537
 75 | N = 0xd99500dbf015195e1483e46c1731ab53b65af86bb74e6ed93829fad5ff8e45dc2230eb1513b3204ab2154c71487c362e35c3a7253937098c31eb348b9d35638841ff30d8c0fe58b9622465d1e3e5ec56746112f6e1903972471d6dc7055321b819c0c72e5618c36d1480b72a5b0c53c157afbb4f20d122c1657f5a6ae189dd4dL
 76 | 
 77 | ciphertext = 0x0
 78 | e = 65537
 79 | N = 0xb79d8bb2e12d4a6778ff7aea4376e91a3f6a8c7d87ed64d44f260b9f09cc90b5f55f20392b0693d8aebc630823426a8ba9e2f9d621003335e11a9d4641a95d586e99a587c4156b332b249287aec12f18048e218066774688a4ca590602f1777557a9c273c787296ac86ac0564840e28437a1b43a28723346589cf72f9837d1ebL
 80 | 
 81 | ciphertext = 0x0
 82 | e = 65537
 83 | N = 0x9fac6b1dcb8673ed80de321bd0be744a40e724c768850a619f9a76e307eaa4e4e2e7c5c421bbb1ced616a909e791155740326a23187a4adc06e6e4cfdeb20e39eb01be8ed414a33369a95a8d065da53aff8042897b573c5970500f1345368055e6a79ed15a47d470e194651886023dbe0f8b06ee80cdab85743a8504dfbe88afL
 84 | 
 85 | ciphertext = 0x0
 86 | e = 65537
 87 | N = 0xdfea5e54e5682b3f97903d836f8d8eec439ab6228ce65c1d7abae0d9d908baa4cc30d255476b9e5de9b2e4cee1460a683ae9ca26c77537a2d067c4afbdabd6b819671ef3183b6ad38721064a5a656024b3c539a77974b595cfd60572dbe1f4ac8e01a8a6f1a9760d0f76b04db38530d9cfe122945dcee9bc3eb4fdd73cf0e24dL
 88 | 
 89 | ciphertext = 0x0
 90 | e = 65537
 91 | N = 0xd81815f04c7c24cfcc7d3f27dd49fda43f5802ab2e1ea5d3ad8afcd6622e24678cb89781c4fad92e227393c3a384685b05dbad4d012916ba71b4bf8cb62c8133deb097e87e39bfbfc4146ed632a715fd7da68596a98da24ed3e8ac4623762b51c0c36276999416e6990f5ceb7f24e78622724293d4c3e7299043a2af00d412f3L
 92 | 
 93 | ciphertext = 0x0
 94 | e = 65537
 95 | N = 0xd8a3b256b377f1f759e95141cfbfc78c7a034ff8fff65f0804fea78541a745419672b6edfacc4a5c650841e8c8cfba97f6d487408b4264e09b4900bafdd92f0a1ea345a92eab34bc411b5c8a13b2bb42bec1ec12fac48e2cc21a4fec17faeadac6952e97afcce643a9e4ac415f1ef9e7c4846d69ff26f4ed54279b39266fe213L
 96 | 
 97 | ciphertext = 0x0
 98 | e = 65537
 99 | N = 0xca723ba7ba4b3803fd92737765be5d19ac52076e16f987bfc66006c502a923d548b1da5e3a874dbbc3fdc91dff3f61617433bd46f1cc6e916e1ca678b1ae17764f1c51ee55f6c9ee9acab968597ee9a006ef09232a04ed75b7245bd84244b1baa00600af9de01540f95f130af88494c745973efe2f55f77bd91b15dce552c67bL
100 | 
101 | ciphertext = 0x0
102 | e = 65537
103 | N = 0xd24b2221a47ccc3e234e77340788efacb5f75ee75095828c9666e93d69a915c8a5d43e74c2622f57f89ea5affd3174efcd7f049069183687f51265fdba7056f41fc863c645fc793a66ae29f7a7747b652d1c99a7218171c8beffe546d2cdcb67f6ce95554e829d6228579bd09ee6901c11a9a6399ed2f38bc732dc3f51ee7db1L
104 | 
105 | ciphertext = 0x0
106 | e = 65537
107 | N = 0xbb8ebf41b748cc4430ed79acfbeeabb48b1cdd17e849c6a5c48b80eeea0869d02c64024152e6ed8dee65978acaee50f47a342939415ae2b684dc9dc43c3b1a10a7a594c77745ffd302122d948233b784d7dbbd2cfa6e30b6598b59e85738200d23d6fe5cd834510179eaa63cf96fa117a898faf959e0a680428a43c03627a921L
108 | 
109 | ciphertext = 0x0
110 | e = 65537
111 | N = 0xc4e99bb797133465963c548bb1deb921b168d8efb6b8b7f0fdc62e085f82041eabc890878744e7e3d4c26921fc726e0d4ff11c9214d07a91be3928608564dcfac15e28f91a012920777a4492a13201533162163a28850aabf4536aa0c79bd94925801869215906394eeecf487e5d63ce3256d36fc3f7b3d43a38ba268928cbbbL
112 | 
113 | ciphertext = 0x0
114 | e = 65537
115 | N = 0xa50b2c79b3a455abdfab1cd1407cac67e41424edaeb73fec3a056fe8ef742a9213e06c93206ef9e699ed8e05b9ebb961ee93d6d29fa949be262594ddc9e4fac3ff167f9c7f9101087998e8a6553f966c41e9c895e151715a7d528f7d432635b4756ec37756194b871100a6d0d1541091e90d9628af920bad39499d0392bfdd4dL
116 | 
117 | ciphertext = 0x0
118 | e = 65537
119 | N = 0xc187dafa0090eb4ee53b6104bde64a2f2309ca34c62aa338cf31ebc647a28fdcc71934b1d174eb4cc8f5a326d26d7dba7e8bba7769619f66635f27b62fe34b93523d6a5cd92bcf770ba53e375ddd1a75a34344acd818b9855a7cf37012dfa9a5da93b780eaf506019fcdcb6bd25711c8074e56a751660bbcd24ac66cd8737adbL
120 | 
121 | ciphertext = 0x0
122 | e = 65537
123 | N = 0x8e25bc8390c1bcfbf690d31309867fbf6a61ddb05112438a5cbb66a53aaf7410d9c6504e75207a70ebd9b8f721b554cd69ab6b21a18a07442543012e8fb174ff4e95b409fd6b23690f5cd29e6105633cbc60df6d4bcbfc631ed8a807c3b3c4f7e0ad2bb47446f05e280f1fcde40f4185eec29933f5f6ba560312ccab75a95975L
124 | 
125 | ciphertext = 0x0
126 | e = 65537
127 | N = 0x9e57206a7b7934fe20426e17196eab2f61d8a20edac758544df9dd6eecd4962d64cfb16dd16010815ace5593fca70b1115f18e73d4df4b7d86bea59f9c20e174d9b2088d3aff83e9e8a6c13ba8b81f8fd9a2b47c1db5214fdb8d20df965339e16df97045e07eeddc4673c8a010e32bc5653f04fa696bd3e8ae7ee14c9821d41fL
128 | 
129 | ciphertext = 0x0
130 | e = 65537
131 | N = 0xa9652b10d43f44d4b48a4330801c8f14a2559839210b537f074ae035a284996ccaaa8f2bd3a93162c16e2c640e39422b776155b0be5ff0f2ee15a3f771aad294b1037032363844b3a042e16afac74d615662be56bb8fb7f06df6e5fd671a9bf884bb994d4a5ca97982cb2cb10afb5d0c5675d86ef35a89f9952e43a24c4e5d35L
132 | 
133 | ciphertext = 0x0
134 | e = 65537
135 | N = 0x9b69a104315cf72be5946c55cc505ad0ad446aa874ee8afb8bdbafe41601fb1ae96ef2bef1e12dbe291edba1ea6c465cc11e0246fd3eaa4288597ba3110d444392f45e1a8bc9dd0ea62a16b169f140533b0dc9cafbddfb9039e05f16f619e7310b915147ce9e82a1b3732205030ccb5147855a21b38b2ed5f1430159ecb59379L
136 | 
137 | ciphertext = 0x0
138 | e = 65537
139 | N = 0x959ba44fb29b3c03328424697bbe9bc8e44faca263802a965e04efad1ee0f1ec8be004ad9b1191e9eaf557f2dce9aac8cac043e6b009b7a64a90ee489d689f349cfa128a2e0233473dc909766c05197889f7054f770ae841408d968dbfa8ce1ba0ff3c4936f3a5cef6075bf31e83a558d6bae4e130d2d80493597da3b77420b1L
140 | 
141 | ciphertext = 0x0
142 | e = 65537
143 | N = 0xc3b88e5d6fdc3b3c045c991145665ab816b06d825a0930b7eeee732883b8bb87ae0ba7547011154ebe47cac3f2eafabf001e1ae6f810cfc149054c142259938d854d140856f69b555007d8941b2e5cb0eada522b2184078813f5b79a3bb189b6c7a8d80541752cd1b20dc482805aebd0bcfb0d8cf70c72ae46d89a87be86e9adL
144 | 
145 | ciphertext = 0x0
146 | e = 65537
147 | N = 0x987cd190f7c3c18244e79983dbd7b167abc5d0d18140d336ad08dda8df2574852ad88b6add14f6c6a660805b27cc96eedfaf5be545cead3cbd067e63f7215e7835bbcd22bc875acc902cf02292f72581f1c83780ac80e136a5ccb7036bdb143cf073c5ee5be7b705a2a28b72fbedd051749a61a300c0548545dee3726d4684d9L
148 | 
149 | ciphertext = 0x0
150 | e = 65537
151 | N = 0xe60fb4b75dafbbfe03f4406e7bb6ef5cf7e623fd48df0dc75d2ba55046dc9581b26a9c0e900875fa8e63cedc005c36e5faa57fa9139317f3c100be951018cd3f4d2f53863e06f671bab868eef74f501552ec0a09ad65eb4cc05195a02745ef09ceb582baef1af832cdafde2d16508a459e5f194a32324ebe7417897592500787L
152 | 
153 | ciphertext = 0x0
154 | e = 65537
155 | N = 0xa175155a1184b1216493f49e0920d18798ae0aa087e8854d97a8419a8689f1461ead569c6bb7949bb498b8066fe69342b77418b9e1e6829573c6b573ecbb9263c68fef932fa6d957a48d133dd452daa7ea49c7e50c027eb49e82f4fd91a2f9bf3c22a41e9531d6b509eb828bace6cc34293f3763a4f37fa34b62c218ea222ee5L
156 | 
157 | ciphertext = 0x0
158 | e = 65537
159 | N = 0xab74f2e7390332cda4ea8f4cc845554c29b9e4cb5c7fbe72879e384cdd1aaed0148c8ad8412ea710dcd439e2b5aea353257d2e3f857b48b6ecf5681076f7770a95faaa8ff8ae976c81ee6fd4a3fbeb851853657232b085b8c2c3856d857d87e6025876353b44d186a013051f9ccee47e94e97380ac6414191bfa115602fb6993L
160 | 
161 | ciphertext = 0x0
162 | e = 65537
163 | N = 0xa0f42d9050e481fd5302a68d1181b503cbbd908af121a0e4d06362bb4d1bdba2f429e7862554ea979eb8cc47cf7d4be0650eade7584b74c279f81cfb81ed4b3ea29c3a4d18f654e399782fa377995dc5ac0ee6b6057e76a7ec6b89f79a097ba0896c444b382ad918dbba0d221039d18de7b3e9dd97f172834dfbb0ee00a47595L
164 | 
165 | ciphertext = 0x0
166 | e = 65537
167 | N = 0xb03cb8314300cc39e64aecc0de7e7a9d956be9adcf830950cb28c9dd7278accc6b62dc442b019c8959fa277add5a6edb6dfc9aa2d317e0bcba2401665f1ddceb29fbe05c7b2937bb064cb5eb75b63defdfd79a49c58440ba3f5d8823c9c0eab71c791dd4bddfca06275bb722844e096196c9670e81c49e657a6abb70b1a17029L
168 | 
169 | ciphertext = 0x0
170 | e = 65537
171 | N = 0x9d9a05f121cc7beec5518711422f8c2f23c39f3e384424d7edd3fd73a0602a06ced85cc23fd6c6f8ea2e097efd828af223aadb5ef499d72012b557ead30cf2abb501238d0d9f21b6b0ec72c88c9d7e08e6f66f0db45c8b9a67524df65a6de831d771e8de5a202716badee934ea140d5625d8349edf7293c89d1a8bb5d7482299L
172 | 
173 | ciphertext = 0x0
174 | e = 65537
175 | N = 0xabdb5b49eb543f03c08e855214214aa48a94c5c76c1369e7b01a294d4f52572b626fc3e43c077a06d09210ae6ab69d2f8a575efff64bf2a89169d391c0b799317c0b2db8c2e3fbcd04be1f3e38c9fd17853963cf47c8e86e8df2f0738581bfc32d6a12947a1984769f0b31e91a381dbae2ba53d5e15570b9e3a3adbf203a0813L
176 | 
177 | ciphertext = 0x0
178 | e = 65537
179 | N = 0xc751f270bddd893a9a671f055b4926b2092b60bc36b56380e3e6f082db38b7b635c01e605c629599bfd0e949f5f52f604934e81d6587288934e23e707e6d9308bb2d6199a5598811ff00201be308f4c54b678c58f84384365fa1522ab666b15a7381d42661e5a09d78ef418f82db6b7e71760961d39df25c8c3da1f2ef7f5dc3L
180 | 
181 | ciphertext = 0x0
182 | e = 65537
183 | N = 0xacfb63f2dcd4b8271f12b83fe3bc152602610ebc6e74908ce2ce8a79e5b2a9e5a4590f6664415a8713a538a26530524bd4ede310bd3bcd4720a9071dd7a093eab44f09a36a5252666659d3b0a38ad9d638fc6bda24ae98667e6e4c2b030dda91f2d20e3665fa9748865d813eea28a3b7a6888ade15cc508f8acecfdd4e7b279bL
184 | 
185 | ciphertext = 0x0
186 | e = 65537
187 | N = 0xae44a0a4213c57ea45f972c2f3c10c115464f9cfe68bf97e6554e5b761680519fb3d88a1942b0fd48391c0113ff41d4300bef30121fee9c680d4f897f4956fd6752887f2cd07e103a974f94b388981a6c633a3442a4c41f957b17cb81b7c8b7986ab218c7c0f426c64ac8c3bec3e6c79dd74824fd8bf3ec68776ab41bcce3873L
188 | 
189 | ciphertext = 0x0
190 | e = 65537
191 | N = 0xc975c9c9a8c06a86dad8e5b67ab4f17d8de2219e5866fe9114cba92af621184a0e219c8f89922c8a08c82bf61fca8a1a32c0fa0e06ae4789619954133c2bf87ceaea6d6deac7a2c47f29bad940616df8a50e3172da4ce9ba4d1b766ec94a2c910b1849d5475d3cb2b72fd6a77883c60aa677e1da111aff31c990d89586848a1fL
192 | 
193 | ciphertext = 0x0
194 | e = 65537
195 | N = 0xbb76c3d84e9d4dd4ec81e47e5a029fd1c7b244ac0199947a40aaa8f8142c6748dcd4595c2c70bfb85e05b348ebb39c12622b5cce40478e5c0e25be7b024f584ebfd91bae90e3fdcf9cb3fe757bb0a38e9daf75c3c7b684ed940a1af619816dc8bbafba1a1a7783ec4886085a12468e737e0eac461b14b4b8ac71b25ade782f3dL
196 | 
197 | ciphertext = 0x0
198 | e = 65537
199 | N = 0xab81a7bcbd3f1a8759a116c2175613702d10ebe2cac55f3b906ce621259000507bc3dbdbd305296fc671b10be8a7769ea4273782175cd75a7e82a6e2687e7bb6fbb89cffc85f882ea918bb9474570f0fa4fd0a04edb052834e43695e5b25e66bcbab2cf5a15ca3abe55a9042299a291770aac2306004289276b9aed73cbb6583L
200 | 
201 | ciphertext = 0x0
202 | e = 65537
203 | N = 0x9224fb97c913e3b9d830c6424983a1d95c0e99a5bc317dfabad7e569e9b310d5618526f8162dce4c8f29f5f7c4ea825bde44c53b9019963cd67f8b919c21b4034ed8ba51199c9d243a73a61e99625b2e49801b4097b161e85bb6883a55030f0be2878f853cfaa4410f6429225e5256c0509e5af6a2fc2643804036f1207d8719L
204 | 
205 | 


--------------------------------------------------------------------------------
/test_files/common_moduli_test.txt:
--------------------------------------------------------------------------------
 1 | ciphertext = 0xb3faca5b217fb38026ea06ad314f17656f8b2f155e1709afac5fd91d5b55ae6ac09eafb8c8065065a4bee53b21143fd0b20e8245e1550b7ff5b5c5df05e25d820d469113dd64f944760ec596a4628f155a66b3bd20c8d37341155441e331832c808403b390a3f7c55ba7cae740c4dcab632dae5d50b07e2bf0bfdd12ad840107L 
 2 | e = 3 
 3 | N = 0x458c120ce1d39f1e1acd5d7f5f8dd51d5a88ce57980cf78f9b346d48362b851dff81af3b4f9678fbcdca8e74e2262f46735d00e8c2bfb00b8fd7857c84b2816653f49657c4466996c763bb75330ed401decdef4fc86e797dc99d51e2bec3ac696c67c06960f75102f166f2a92f7ef030371ec256abe96b7e420e62971e88fdf2L
 4 | 
 5 | ciphertext = 0xa04f35d80cb1d204c8d74ab48e658b081fb3250775c28c37807d4d0d669ff87f92add4ca150ab4a1fee6978cd1e26f7f5b124a2656252a6d5a8624e0ded5e508460611fa9b0034f2e35c49e2d0fbed10feda06e30102604acfc197327f5da0afe8e33cd66510693e81e838f28ab5164026dfb3dac014696b79463e65d90407ebL
 6 | e = 3
 7 | N = 0x1bba15a7386dfaa8a54289adf2031979671aade84780b880149d1de7027d85b4c25f7110793873083f36e4ce300a1b1dcf1d18eeebce65f00e6e5409235a43ff435f685b8527c322b772b86d2936cc4d26b4d6578a04dc54cdeb61dc5de76a339eb00f7ef3a6dd10aa1b5afde092b028e92318049baf7c286c50e06d1a7668deL
 8 | 
 9 | ciphertext = 0x702f3ee5a52e44f5af0d74f389659e2cd91918de370f60c67574edc59a391a5630965a56ce9e8646ee64348910de3ba3e670da53f73f5da360d63436e365e9108d1dcfd8d4756b080b5dc58be805fa61351964588016f15802811f2d333057f971857c14658449f1d9cfe41c7af55743013a7ba178d49c701ade66de12257bc3L
10 | e = 327381934393961
11 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
12 | 
13 | ciphertext = 0x8dacc54322dd8b88980d29aca6c9bacdf88f2e1bcb70865f8c2c9554a55e56444718f0da8edf74d8b94c18fb8f23509f388291c0bdf3b1d63c087f630955130bd077f3dc96cbef43ca68a4c36eaf0bbbf8aae486b9c567e18c5755911c6c252cb2335e583724379bfebe1928bc75eecb6d733e2be1fb58db71956eaa85c594ebL
14 | e = 229345007
15 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
16 | 
17 | ciphertext = 0x3acb5736767a1c3d083223879e00c3e3c4e309b23993706a4b0a8837ad7599c8952f860151cc3bf10f69d304648e60c1a6a96d4595770c556b8c9e17aea70380114993a857e8d2580cd6db8ae0de33811bea871af6123c5b79c3d586c45b78fa9bb3021ff07244275a9262934a0a39d3cb174ebb17a04270da4be89e1db6c53eL
18 | e = 493170072613343
19 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
20 | 
21 | ciphertext = 0x50db7a84304eb8c5d3d14ad83462b8910e84d9b967719309ffd65c3bd8102dffa262f562660626a02d1f16c61e7924b652edc19fb252fd91b2d1ee90f4e53a52eeaedaabb8b9f24f3f934b9bc87db2d368caacf52a33bba4214b23f04926bf2b5da417f82d7dc2c00ce69b530efff7dd08ec2b93e53e0571ed16192e61cc867eL
22 | e = 58695430075608541063
23 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
24 | 
25 | ciphertext = 0x3214393771f3be87aaa061db4e9a69bac38acd974b7bfa9a5f14eef1b730b84c849d739b37e134643d177669189c79596ae76539b88c88489319a0daaf6ba4fba0189252b006fa324bdf5724c673353d88cb7ab9ee7b26a1c4110ab885132f7d585c4ebe26e8514a8d61e32caa098d0584ac8b50ab470870b603d0f2dec2683bL
26 | e = 1431595855502647343
27 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
28 | 
29 | ciphertext = 0x53f61167c948c02dae251757d1a34f25873fb4db489c97ef6a2ac15a713cfbcba79e1fc8a67156ffa5df64d6385ee9af335af50db549e875a92ffd4f649c9ed2c12bc0370a43275c251e67ba13ef4a251a0fb580ac28e27e22fb4b73855e9628d5a3cc80065ef8a248913822680975d920e8c1bdab7601d9dc78b9bd6695756dL
30 | e = 255926348009
31 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
32 | 
33 | ciphertext = 0x6f595585fe4c58683eb44d56b89152642e2e241dccac3191dfea6c787b544c13de18bbcad58b689b2763bf87da5053bb522b59954d91a6f4c4a1f30d484aa4e75546178459c8e692f1aebca885b49af59d9bea8bc05aa5403e2351f02360c095e39d30ffb2b3b56ae8254820a032fa16312df7275563c7a5e1d68fafb6914545L
34 | e = 98667017957097957526903
35 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
36 | 
37 | ciphertext = 0x26078e8237dd2ec6cfec6f45203ba787431b7e3beea12440d1955db666fc1a6398d3a6ff82bb998be38a63d12da017c3d1e219a20fcc7a76c440a09cdf5099ee5618427e0f91dddbdf4adf85b46c9d061b6efe536dd1532f4e2a9a6836cf5ff2da6fb3384f0fa6b6ea3580f36ba8201ebbb8ffdc80a73e1a0026d0ae92378500L
38 | e = 13788812262241
39 | N = 0x90d472ac7939ea71b387bf5ab1605c74db4dee8db8048afc406173880c2a7334eaa48ad89b08a4cb4f73da1d3d2c9421b62cbe89470d7fa62d3d22169ed70ea7f296e996f8def6a30275a72d71f15503e9e007359cda78358e8fcf46c1999c25e9bd345fd96b07c44c5a209dc998fb693644b451c2252bc3671cf7895f3ffb25L
40 | 
41 | 


--------------------------------------------------------------------------------
/test_files/common_modulus_test.py:
--------------------------------------------------------------------------------
 1 | from RSAExploits import rsa_cracker
 2 | from RSAExploits import RSAData
 3 | from RSAExploits import rsa_obj
 4 | from RSAExploits import TextData
 5 | from RSAExploits import num2string
 6 | from RSAExploits import Common_Modulus
 7 | from Crypto.PublicKey import RSA
 8 | import sys
 9 | 
10 | sys.setrecursionlimit(10000)
11 | 
12 | # Parse and store all of the ciphertexts provided by the file
13 | rsadata_list = []
14 | c = None
15 | e = None
16 | N = None
17 | f = open("common_moduli_test.txt", 'r')
18 | for line in f:
19 | 	if line.startswith("ciphertext"):
20 | 		c = long(line.split(" ")[2], 0)
21 | 	elif line.startswith("e"):
22 | 		e = long(line.split(" ")[2])
23 | 	elif line.startswith("N"):
24 | 		N = long(line.split(" ")[2], 0)
25 | 		rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c, 1)))
26 | f.close()
27 | 
28 | # Run the exploit by specifying it
29 | if Common_Modulus().run(rsadata_list):		
30 |     print num2string(rsadata_list[0].get_m())
31 | 
32 | print "----------------------------------------------------"
33 | 
34 | # Run list of exploits
35 | rsa_cracker.init()
36 | if rsa_cracker.attack(rsadata_list):
37 |     print num2string(rsadata_list[0].get_m())
38 | 


--------------------------------------------------------------------------------
/test_files/franklin_reiter_test.py:
--------------------------------------------------------------------------------
 1 | from sage.all_cmdline import *
 2 | from RSAExploits import rsa_cracker
 3 | from RSAExploits import RSAData
 4 | from RSAExploits import rsa_obj
 5 | from RSAExploits import TextData
 6 | from RSAExploits import num2string
 7 | from RSAExploits import mod_inv
 8 | from RSAExploits import Franklin_Reiter
 9 | import sys
10 | 
11 | sys.setrecursionlimit(10000)
12 | 
13 | N = 0xfd2adfc8f9e88d3f31941e82bef75f6f9afcbba4ba2fc19e71aab2bf5eb3dbbfb1ff3e84b6a4900f472cc9450205d2062fa6e532530938ffb9e144e4f9307d8a2ebd01ae578fd10699475491218709cfa0aa1bfbd7f2ebc5151ce9c7e7256f14915a52d235625342c7d052de0521341e00db5748bcad592b82423c556f1c1051
14 | e = 3
15 | id1 =  37
16 | id2 = 52
17 | c1 = 0x81579ec88d73deaf602426946939f0339fed44be1b318305e1ab8d4d77a8e1dd7c67ea9cbac059ef06dd7bb91648314924d65165ec66065f4af96f7b4ce53f8edac10775e0d82660aa98ca62125699f7809dac8cf1fc8d44a09cc44f0d04ee318fb0015e5d7dcd7a23f6a5d3b1dbbdf8aab207245edf079d71c6ef5b3fc04416L
18 | c2 = 0x1348effb7ff42372122f372020b9b22c8e053e048c72258ba7a2606c82129d1688ae6e0df7d4fb97b1009e7a3215aca9089a4dfd6e81351d81b3f4e1b358504f024892302cd72f51000f1664b2de9578fbb284427b04ef0a38135751864541515eada61b4c72e57382cf901922094b3fe0b5ebbdbac16dc572c392f6c9fbd01eL
19 | b = -555
20 | a = 37 * mod_inv(52, N)
21 | 
22 | info_dict = {}
23 | rsadata_list = []
24 | rsadata_list.append(RSAData(rsa_obj(long(N), long(e)), TextData(c1)))
25 | rsadata_list.append(RSAData(rsa_obj(long(N), long(e)), TextData(c2)))
26 | 
27 | x = PolynomialRing(ZZ.quo(N*ZZ), 'x').gen()
28 | poly = a*x + b
29 | info_dict["Franklin_Reiter"] = poly
30 | 
31 | # Run specific exploit
32 | if Franklin_Reiter().run(rsadata_list, info_dict):
33 |     plaintext = rsadata_list[0].get_m()
34 |     message = (plaintext * mod_inv(id2, N) - id2) % N
35 |     print num2string(message)
36 | 
37 | # Run list of exploits
38 | rsa_cracker.init()
39 | if rsa_cracker.attack(rsadata_list, info_dict=info_dict):
40 |     plaintext = rsadata_list[0].get_m()
41 |     message = (plaintext * mod_inv(id2, N) - id2) % N
42 |     print num2string(message)
43 | 


--------------------------------------------------------------------------------
/test_files/hastad_test.py:
--------------------------------------------------------------------------------
 1 | from RSAExploits import rsa_cracker
 2 | from RSAExploits import RSAData
 3 | from RSAExploits import rsa_obj
 4 | from RSAExploits import TextData
 5 | from RSAExploits import num2string
 6 | from RSAExploits import Hastad
 7 | from Crypto.PublicKey import RSA
 8 | import sys
 9 | 
10 | sys.setrecursionlimit(10000)
11 | 
12 | # Parse and store all of the ciphertexts provided by the file
13 | rsadata_list = []
14 | c = None
15 | e = None
16 | N = None
17 | f = open("hastadlist.txt", 'r')
18 | for line in f:
19 | 	if line.startswith("e"):
20 | 		e = long(line.split(" ")[2])
21 | 	elif line.startswith("n"):
22 | 		N = long(line.split(" ")[2], 0)
23 | 	elif line.startswith("ciphertext"):
24 | 		c = long(line.split(" ")[2], 0)
25 | 		rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c, 1)))
26 | f.close()
27 | 
28 | # Run the exploit by specifying it
29 | if Hastad().run(rsadata_list):		
30 |     print num2string(rsadata_list[0].get_m())
31 | 
32 | print "----------------------------------------------------"
33 | 
34 | # Run list of exploits
35 | rsa_cracker.init()
36 | if rsa_cracker.attack(rsadata_list):
37 |     print num2string(rsadata_list[0].get_m())
38 | 
39 | 


--------------------------------------------------------------------------------
/test_files/hastadlist.txt:
--------------------------------------------------------------------------------
 1 | e = 17
 2 | n = 27658060678038715780470429570597987144542213875178081185638364125349217264266787337266356239252353691015124430930507236433817624156361120645134956689683794554169169254645287613480048966030722812191823753459580311585866523664171185580520752591976764843551787247552790540802105791272457516072210641470817920157370947681970410336005860197552073763981521526496955541778866864446616347452950889748333309771690509856724643918258831575902389005661750464296924818808365029037591660424882588976607197196824985084365272217072807601787578262208488572448451271800547820717066767396857464594301327160705353075064322975430897551911
 3 | ciphertext = 11433488612991990768536086698965180146550356348457563234735402111134701115830423042016221831657484325065472609147436229496479358788735270448637824809543880271526735635196884978639585020518147152207002685868984199742884443523231593245377292570809368330956970290791633106067116466080014631110596564728982066569618319541351401820732547227122970369299780366876340403436785218211729531092484723580223801525992510782266856454394478372421830988205823368541860973674259795969870252832216828042174346473447490557323038031625277043161510854825069681462499200978561823301487118145650943076528233694749306585201212677836363102350
 4 | 
 5 | e = 17
 6 | n = 18856599160001833299560082802925753595735945621023660831294740454109973698430284916320395522883536507135735383517926050963512440162483065097256884040938259092582892259657340825971260278387406398529168309426241530551396056450450728728601248269612166083300938497235910244979946020059799495231539400114422748104072550004260736766137354572252872437140063474603268146956570787143010441293268321641092743010805639953103578977668248726500636191043930770036787317928372179939360510179438436665591755940224156131460271763912868322774604558314812111335691108887319827579162188169744014973478052491398688611046800951698773893393
 7 | ciphertext = 9537600333774561965347809713893729543607050845183365456822389928272539309054686047543168922742589173859871008938711574330675462024831693796734766356934966684018899382045308313458440052017835494802986355673813464215184924837019853399388984893499187144821922554214143314640377079505897680854314880035458832414257859211958802973880776732222536460326269825765449639225220135735729106020282618914111685220841901015367575108920943148006106714487046602965253293770388951872741849791157534395777330833976209975828865170184061768114280467192574451716204110866562270737220078456700440400847759035001437357717203367869014507886
 8 | 
 9 | e = 17
10 | n = 23536517244565831304957548822169291652207666754083340160306298208076886665065064843803465469409961704414510544566548897045751559184520942970858445270483458341528037499088946028024476760938334724064432942414803725235245083424464022066205458380170453189950900307248048617678876232312945996520402058770976469558803007764420552804210174247648614671097046399148333316029580244153775977135880775921663886951776404864678251750085264792097984094013284691977749495264267344834078278955171634785277609298558886471141768976455150174601039402280137908104589898954351484608783306378026577123527889651575952772820003380025546341093
11 | ciphertext = 2787570158312133794000264568955228362505478580337508384369847495327630702109418180218855630800765419691714135680571469213835542379448821209732447589306506369895651911135089075762137873889141680195343215032414145506957429427948190720862478335515596644926205381293106417410261520242246013085300698437878525197927303400003852408888917470597700285690342597850461091636279688711415205788329646890595805415907084665612141657880165938739423616058100283432682214722969192114128403177592988697839575450529126584549296274365360257579336454484779207708578834457262472129009056129647722165160424055970728939468425924742795247404
12 | 
13 | e = 17
14 | n = 22182114562385985868993176463839749402849876738564142471647983947408274900941377521795379832791801082248237432130658027011388009638587979450937703029168222842849801985646044116463703409531938580410511097238939431284352109949200312466658018635489121157805030775386698514705824737070792739967925773549468095396944503293347398507980924747059180705269064441084577177316227162712249300900490014519213102070911105044792363935553422311683947941027846793608299170467483012199132849683112640658915359398437290872795783350944147546342693285520002760411554647284259473777888584007026980376463757296179071968120796742375210877789
15 | ciphertext = 16279989825796156802547712583633798298339885806436476356497796047229021124610630851145390462136716298450342674217575569196543919171078736243934669612002081179432014315465408489156509075853163302037413161239227506465361288161349464334942343016752593577869091378915378775289174914088843177811858916838452126433042585745992994815140378356718198629815818784659700720051966660786554920296721138381405607252098516473395177368859057746002895683463397630717358844874557866924382768279446164993249061647243362602307728771126094369384362246840728274885512559106673543101063171808938427459691773785819336680808200730383909434687
16 | 
17 | e = 17
18 | n = 20692935323456318857339636506121661409781600706918188791579569287363925379425076174758120076604134447812506062875425652061813752876711066070389233324351070782264123950482732919402628782987702034544299244918439112034234610691454353578647793100554890386226509128280993176780063155185886470116528236906519407444238424523493151082789442134440461004320839591569157239343299865825958454617581990948186838151424941117137818356712476559230872711658730923799079308488965817006179693410669320825141974869847267757553830878658559853061666130127729833856270147578804267991192625989184535593836836877723580138193263333297569871679
19 | ciphertext = 3149880252209031344712912478150309339789690396685866282400905925814536568350616764434288908486968492252351255022161340923513529850192573780350157980373627989388396346845656970516353356298790654832486310492079962338672745285854665147406015543850517102001543987674241995267846019477920439984122318278402925428057397039652213642437095694526592410641576952281061504190238132151689288080423425867830015832927809704559212420233819682781217618789216812964682441589327621971863380979777355679805008775337364919278947618188598427198109821307637144473819840409743353235834034795849314936322245339378447572244022235758755318197
20 | 
21 | e = 17
22 | n = 23980852037830754961843810384842109198680213599160124627608485316452067979221814287579031744661623974638029208789156178351485676131492416093947908129410491693261731404401473508295054358751129977958761373804386612048163148740071525591509234298601816819182717519183021983010112798883286143566969631969002952806398266165159329990930567027893909276078886841121244401773915309649928992691723658667402744292184927500507621943557420540056270730461740897601661594495028880708798531876866777269713984635553934853524715534003465120928659881608776745499441872048908380726942161563974610455635903901327036597201663594811207962219
23 | ciphertext = 6500753041357449855790208700753809194331642408448330624975108109751859721113916040913210608530117147284032825775613945416295553599499663257233673509345038912634968979540222246220460441613513695959331196716737175735741187191935319073270722811433035516074289343637773607521789970734447289501012767670625043452129332667983332570596510412510389935486708833483704894688513193020406791505432203906745860054901025547265075193156070642716676601268698224891768784422675343094235950805128869705790800102590177489342374151286188584127528879203511712056047898651580309669143955726928687269246843562481439718815596302692298516533
24 | 
25 | e = 17
26 | n = 20991361604317638769781823650579915779070848318189821239839863416933546421097820271887796260918963289144354691357223973152195364244222103627141268032857145421152363842224398828703305592221616019678102879125957325674007444034541160527072712208844228077449624475289619712846717432293230773279322231288635231839457560272849165524911202814516841260722542666841002263011069065414760944278124011800036869640840312097012211808948108758865722731922057521488153991477824974687229720412552981052793827211890557079895492457992364345889589127536307112174252490433421772585442393590767593690124636778449673348970938028847369589017
27 | ciphertext = 1176089662945377859394485590647428302230902074038834532187683920441006896963622996580792552532208518328678256998366963208028743204946660302538358531574765644007432906847438011315702121691613005078019506672007476291213237939507650616659336489497035998458925997634519034425449883103272960672562772204663037400144823802245320606039938019714906919958257594477982151857672916895153818922550365638890064326384677879791487276278839159022778493427572161764299809764447703117493013786755368150005501909964140795978310287946809348754988288402304994584145696550845106776916203635572397815715801968943287729470010695704992513284
28 | 
29 | e = 17
30 | n = 25492165341402870943193342194243878583550091830588300179983190484677536677783878770091771426745020581968485223806403482688708690916599646206863308796421682192123291604607235755107364431209342465647517951497018019170871611821471577647494718032136027446239385000016582048814012025961200909864909126220898470337474181564969111740549293849528764155308076160637626891491670481790680054394999454113154731685789729310781453533838696397873008408145290785550608424077599753426457559997966726766077860415133627965054965186926286998932683118114065698789972581403018027054849591593302510627959868541308908688742433116746685957413
31 | ciphertext = 6666419060534882063445608631701254352058920974421822069727027885698959797948070412066328188514278918986722361742912500893728424745043197562231410354633167915385978833339701529722766937863212423943888214894271923064950171580353934178748023608466389268996754295631668202047874774966518214639701079489902676101992190471567121772228753020078695924075081945558620706927179092603126041395606016633822502612954885417984184184737630487502072507997213412593690188577996870365218951232207636278621674542750965270226225337180320970384418820119666789283194398074172939976925377054214851752639573115850958399373724855553234690869
32 | 
33 | e = 17
34 | n = 24360507764722702236982664735328841420311376027120399241078325497875531961885056309904114723678048613901842270612025644417215018351512175660269184968149109110209563435463873211914594529847294730496535258882010197028842516927468678843924092706088182566726725380495130934316582041447010080540555792802432876873205758297773353354773400601269072565235285553745651262991130015382601486699000167692446155692416347390954126585612460075052988874628884097103408004610717498543307677173210168954439627061348158046928463114067813191846253937179490050784167037265795606665046543869952157800016132040847485597002954075447344679099
35 | ciphertext = 2091608690891505258645949208946395204695041893228619053197065370886625848151228416356718762070352835427065857428605476603762875777761221509564315249418937215791628816353819422446178413024109351330646491084678357651148045128554746141683169277567849074245394149157710582616155738686711539953583528181614701953172972027101545253676978964454897005216320952879719740377602813279137554307680715749682175447559417772077472349519490785782899751615833622828868651966927604858524345638792811839384317780948838203430577334783095834911402913673850996431719159112716370014509918436690080118494876223156361387987999829094801210890
36 | 
37 | e = 17
38 | n = 24196427886175544349183151853220199349004334700026598710073455177858086301574503667298550711896472441115488666905450709605686892168468755356865839253905196330957826522203721667534054840325504585224175556167326100374628995111103938603447308160978852917872087343333848311844292367100647648063686677699135973596041567307784602998888789211145238333237613511049640509935260207585999606022736214748154785163367146044878537220691272581381812904389596150391959046627047758159235384420979630615278721284429066540058110867810807414175942667916940934372027878979861244401198531405584211810881235860988295519048177492135610751359
39 | ciphertext = 22296229997452473240404864600165019763565238056149885081619043661295445875270023158334098350603026725837611396891344057244652143898149482532106315521575872089742565470821567522946361662445964027209388657746191967435348044945947483621482721538186361050633595041353278781238956486769506373730884495108039610798833232749139421109269053404110580969203157360738738757856465985684697862079893042321411866940484105462672034009048091117594209570962168395344960105313171255329582011213721766675322731331965794652525786585751148977132545042466983433106614477836969990881581169493890539450115893703987635774477858244270608426284
40 | 
41 | e = 17
42 | n = 26181530231990596208912553982832841408036769882768643576772592303571004331051012292548525104394717484252349998434031623438917061404178468743247357634872314865905132523154238118481540371615056806756673945897771283881615017345596477766231957968854622033499073650939380455320632540323169565251694316300843433445667057555206872698949047971459662093473609973167299463621536822302820363096764742010575821082948519766535657152613824870739004432505303862201505469354785224205708777422229564239113870271947768783809029625932248575272642464554827073657622048405963388795704112995209429712517330431946725366254154641804680636843
43 | ciphertext = 6596498503473090384156122948918457693225694527543771961484972133896304927525029433085731957072789891646290597692421323936231128201822432631159176346646447011338805190482179145913035869942714613486895588754112366313438192851954663748505238329830016450238817308208066971617432717047936473721490905750275563930145038394216747562079905090073621918898708464447477835510214346908545028865672847041949340101722558962541612836311085196500521238354347015877914823677634283521373575663416167402249149782097385550791425270622816978948552969790013217066937461634555711434991830871731594480554761087920979267051612013063691897091
44 | 
45 | e = 17
46 | n = 21127940129465859529449290710465142401626099761120448822896227957140612250511186166751154941578458258054285578274511450860570540828102070111370941358023009904308008795394643585864471986075987747216086746123427597776886622933600026324537947907678164739969468650427560672262831484437166952755098875024996456298734488381416586155715216067643259554486571154930556222002298362539331180176023831109425436177078457326927485711697356496728959762158514131974253928871967648747022232011642161107225163919743383709749413596786170516661129884422397760268997322898954161891328103774133077184028190158020665184081778231669390621447
47 | ciphertext = 3025342965063970983290961997148038673244905555308289391392896371605967574831912573039170667272658109340534212720805676884032065407092138739865486740854024452063900964324730683963944994250537553102328024132087660954040726648939149676030355851576763910670469390583200661923104138267998714166483656478619852365437776250801008285867722681155855008497404084448836122553221951674607943082229713841396761939215145379881979676835537964953725808825354819362797503568722134701601966504482232887162578922823026182148541889898696868501626860530484834082878781257554947276873624962134091380186322272011345017295000538738940807566
48 | 
49 | e = 17
50 | n = 22418240669078782395650685709211154715963189697089263104799144782938556049238670824036504767273510569815649054522706833230147726835488621722481390416868271627116267103118088021697808807092496788890564153300558617457948161343658932652189856049810225397121264480931341652674373238956664385611007077903271999938666531870525476577337484325119704138317723687164049779101614572637615019989722168840820998326371954897496744184510021746784303032310300111064058399012572181069622479162656626630666689745901678446100898000876596201969536772169761074060718581442841244466714693693744538078059538322489346225247976911833748299831
51 | ciphertext = 12741916458848035965674277226994440579915129055105462698845221890770558867890065973150125863687106455321192524282688850919026924493363241183706112792662939894532011809709158105688708409813198696055548036573709488504352009446189240170056000380659861236761237694775468132858916502459186242385986053427650331045218524574666652583364331482577973877822911369427036861116411565934292335204172142173748941863013032301778764886328258476195697934305418334527182261876183838908107190767800857337092015153451318295610430683371731834190637342265695335154669307530426675001781782217407160875559782488264585128426108095378548497650
52 | 
53 | e = 17
54 | n = 22840174333461757597258965063503187552495604936013453813620970124752854692025931772152482715744058240571638175460349150353012889988723597821978579743499713766809084692254297539180932689148176677208822562008650864838388158004011554059006621226560748426334342736035675518932164604927602370423087532589029111052023317750367568915149473019058579728528211621618516222534404936592529521724927756742450435643292165615017136698859157488474841102297647488008004924900405006989945846311096537399030509947027554824768198503677139485403433484337602107191422279674605462427176871354240310242684337649527314815937448142118014471869
55 | ciphertext = 7269879938285087105060326068602691458154834670489063661854932312114567012381462325708324462473335735747751985833951832304054546004436096189761282474552769255043106817537407079708725883409397856635437608590617899532129476884853580275762892523609169600551500977086971018619327642914168273376084417345670925345416864822282780628646416374712921155883117431305185117831110048721693951865267141962666069350614792416053836803149161735632213430960384988586996269807413280397202373128437527421378900814241234271529460443131737298476049472736692048979564047934967259654010923397531158463241672904787724046355796318156683211693
56 | 
57 | e = 17
58 | n = 22563350736629808264395772922819808510705484822245634475903533464108273973359621048788502042378085143059458230242646589967392945320090987067961491654357416853755261074531634683509015394347409817614889849143844247148479574777870355411207636748917532445668322051861338052906797819332259215278552079454184458015646487703430124222965707626399501332317111449272813630361908462924849723439803107908568327484445685641242797481816740336203447956828486867818411976997494338407256234593013250778655132122780432402623365698921928370817670245911505312288465537126236680323692662919137486755722237256218345361985595174086335811073
59 | ciphertext = 20135971165126329834498721501784512951499984648652660104821647741072871489936836442504197592142991669369919035304425516258391511301425226375564892415339365148509645261565560913559856659645387805198871549146172257882053281268795760344994001608956789940307816388486468042693545041073838774812997395437209060397149458050765177205158052575861667488415782153713633691372314235926019032628836133660245109281683465499593548858659962576728675714563027957143405441096816687188373864658407934159173393698714390810577718268693096568336071207238450039773940104963444157704166286892082172461258702049072827677476706096904316460964
60 | 
61 | e = 17
62 | n = 18375116136153390105382127878395045588105857107246922094470216545244337357987681718168448429849698069981688291927806366721855289976121993055091218569849787514394507275481429728206429948836923251296672175100798033529862498578044854162615314211321712132747044363074981129056925717085204066189560133707352709019771792017200539059204024262019592851381317279368957556414371834469907989489823310736060223258994989400405121984031058976855896631117913090748375198718936570595983429517914008170697730495897896134771484309035561040862223201385431761693343426402858632921946359721016131084165400212811848077899966364178485645209
63 | ciphertext = 14450411368079644952604705871870024872670263251365527266862703716230778731191117713744962010138824834514424908701300856449356388617430510950535877723758382120583446269291649779277478125202353436896123871466945681583403794725306243733343462009791759823657466902546992816090954580754519785729524996046358307197773786618439603452776474869740548426942373102466687002398105444228516302695737600836706505822006007382861266883167162032588362091247091029707841718663522787461434574458986841049123553142254769053444081497788062775004085437066317446657655214417638414799100287660747244854718117257942197065271633812453504802118
64 | 
65 | e = 17
66 | n = 21996468204721630460566169654781925102402634427772676287751800587544894952838038401189546149401344752771866376882226876072201426041697882026653772987648569053238451992877808811034545463363146057879646485465730317977739706776287970278094261290398668538232727000322458605289913900919015380904209692398479885177984131014170652915222062267448446642158394150657058846328033404309210836219241651882903083719822769947131283541299760283547938795574020478852839044803553093825730447126796668238131579735916546235889726257184058908852902241422169929720898025622336508382492878690496154797198800699611812166851455110635853297883
67 | ciphertext = 18919626944919001746434424216626233185707755539125451453498872012547818089480281584466165481221804279035723497497262166426771134459922980759121024951390547522550510734782168869364945944106404378597344695227319394862905382593128694330512816879360904284025740295670026092938765777154761403682710878968080966485091090198109371223563090698724814081281842426885356314840392128767155541449360105460941384985904101420698734690361896580259169275867969219822351776569430617405034594385605780084981880407657528516176335362438505224655581522137130777263875034088903829280901936110414932437809315770012018024957989707333743935907
68 | 
69 | e = 17
70 | n = 19697677554331221267369641184167188448335213481430897452143918418367154993523756864868509098839783053011355139590418269119504715550443490754762988015861768839038067134509092125205376509678043881070558825637905431885254727168679069330416776166369184375970521838169214107508952264240335498312849019213361951991190975616614804433716772411184993774461040690673753098373736933084616647869336141707774024488317582512216162403209135110515778522772939206567850540704356683976987508523230996026019768603629874558741038975853009975048175519392495212857366577161641687502674304846608725983145033337187267988999492371626182417551
71 | ciphertext = 14300174742950957133230867352717457897986205104543265825218842008467109972830138620119291505539500355334723376879888409251809364632635010202950500050892997355318105884900306620239365641681252935777362167024611054220484107153146560621083009306565476636270883588514007454668850327310521718849400741849368048026759782889674614052640379573508042637071620721869972662416840328750772187247907576009995766111841008793044576343182936834713229276992314777759684829492003814595802694592792453101320053268786720734738162720052909591108493186651733642823133001888727983206566194875945734575411295063088173363528901413605439659186
72 | 
73 | e = 17
74 | n = 22946690762018202432990887189358840679847544298138130593179782494313283235656708793278294817370704179431587028797820098265221065047094111469387707851755805572030960917620048531944164128853858185996116085402185608208505862268300069081634690281361741089802822427014733500818400628218120217701065238981427409232531524810373504821405505784194458324112411450898914981925380408035843501140943840375415504531028291728110941191868468403264579853022847273710668909241386840084506302813524686512443804790681324357699954553042087787664048340322301999798211625015533291431249576149925507273846582715275085720997988716732564925247
75 | ciphertext = 22114155655659890875804525321139229042160702983880183010190613534988342335473532979092956071940843014846115113869717993343361412775761899123003515398037548495421246487341345482541093940292149812612966738017954607042366694074210348507360409383994155996445275183175086308877643260816760841714256410898269814908129813108551478627448054932601176813323889809069498060147451905095827442175810001123067159848367040168783825044279052630935945891964134230385303127654483691228319146427451587693985548002268250053416426728753739573823133295951972853182187229046285977320129680613905801285437766686995325893960172376926445625122
76 | 


--------------------------------------------------------------------------------
/test_files/rsa_mistakes.txt:
--------------------------------------------------------------------------------
1 | 
2 | ciphertext = 0xb3faca5b217fb38026ea06ad314f17656f8b2f155e1709afac5fd91d5b55ae6ac09eafb8c8065065a4bee53b21143fd0b20e8245e1550b7ff5b5c5df05e25d820d469113dd64f944760ec596a4628f155a66b3bd20c8d37341155441e331832c808403b390a3f7c55ba7cae740c4dcab632dae5d50b07e2bf0bfdd12ad840107L 
3 | e = 3 
4 | N = 0x458c120ce1d39f1e1acd5d7f5f8dd51d5a88ce57980cf78f9b346d48362b851dff81af3b4f9678fbcdca8e74e2262f46735d00e8c2bfb00b8fd7857c84b2816653f49657c4466996c763bb75330ed401decdef4fc86e797dc99d51e2bec3ac696c67c06960f75102f166f2a92f7ef030371ec256abe96b7e420e62971e88fdf2L
5 | 
6 | ciphertext = 0xa04f35d80cb1d204c8d74ab48e658b081fb3250775c28c37807d4d0d669ff87f92add4ca150ab4a1fee6978cd1e26f7f5b124a2656252a6d5a8624e0ded5e508460611fa9b0034f2e35c49e2d0fbed10feda06e30102604acfc197327f5da0afe8e33cd66510693e81e838f28ab5164026dfb3dac014696b79463e65d90407ebL
7 | e = 3
8 | N = 0x1bba15a7386dfaa8a54289adf2031979671aade84780b880149d1de7027d85b4c25f7110793873083f36e4ce300a1b1dcf1d18eeebce65f00e6e5409235a43ff435f685b8527c322b772b86d2936cc4d26b4d6578a04dc54cdeb61dc5de76a339eb00f7ef3a6dd10aa1b5afde092b028e92318049baf7c286c50e06d1a7668deL
9 | 


--------------------------------------------------------------------------------
/test_files/wiener_list.txt:
--------------------------------------------------------------------------------
  1 | {0xd4ea811b16f5a9c58faea98e752c60f146d8a4ced9ab2510d8007098c4a4d17d87e0a5fe33dabc39709607bf94cc3961ea9460bdaa6fbcf8891c7eee8f4a0ce3487d76bfcd738d4a0c886268cbae817e6fa4ac35fe9e50b537499874445fcf52a874e2075ef073ceaba2833e4302b0c8212256326bf36e0aa3bae32b49b7d737L : 0x9fd1a37544cc0ecea41758aed5938eb1a5f702b400df806ac363ff2b661f9f385f77f65e9fcb2b1e6ab43959234193e1769871f7ad0ecc69f6e342710d97583f227efa4701d6664c01e92d276ef94a3a8b6c3080fda58b6227c44d42048e09e47a1d3ac817866f2d596e370348ef8beabcec5800419b49986fab36380a7a80cbL : 0x36e1a9e6fed9710dff3830d49cf41360fe868138372b8c0e7b3e6c635af33cb060446397c505b2297761f357605c18e4de59a4710fb042dd1fd7c2bd1526072d53b5bceecb089311fa7d849ad955b073027854659e21e13c0d34883047274dea23c504d67587d1d27c8242045970e1eaf35e5ad9da12078ab90a056f5a1dc3afL}
  2 | {0xccae54d880e825cd0138b10ef5c972c4be590127ef79529db8951b2651f28279fe955fded78024610b64b1a85db4a36fd45289a0ba77e9a42a055e6613e63ae3516a20853669d9fad3486d4618d57c5dc38bd08240b1f3d1d5d0c8046e57621e21900fb3d2b20c423a3e36b6696341be5e4262f467142663c2a10bd613d0c2a5L : 0xa409da4dbaab715823cb1d2c9b9c354f90456a5e14cefb9a7a65c23a4cc38498ca92239eaaf08ca371015dbc3c2ce5335d5c9a329f4537419e9dba6496248851c098d5eb7fb5a799d54abe772679d0f98f5ab1706c2f58be5c6bf4274444cbf00318b1152dfd44ea9bcb45fc3a7f1e0a72cea5caf784df17ef28ec1586567d03L : 0xbe78a540168e966601a7ddaf06106953fcbc3df46e03edbd578f09a43a3f4e1e468202b075ded775efa2915d0ec372b80f29f7a71d2b1b915f1c6f37992ef4544e98693e3f2f79325004ee90f59a10ea4255eceac96ad062ec6e34d8c5f888ac9c4a408b358ea523e0d989f62b819c6db2fdd4113dc9d29c555e7ebdcbcda0d1L}
  3 | {0xb9dfdd5e37ccdd53a3729e9d1779763b967c784b3873987d03607ac079de9680ce3b89d084e7b99e4bbd54e446f9f89861ed6f89ead786633dcf7682892210ea8dd5d5d960e76adaebbe3591964cea5b61a556661849a3995118b2d9bcee0afb43a99e32ad959f5b6cbaff9843ce540d3c4b4cef690abf40d16839cf43fb7067L : 0x587adc03f1beefd00eafc604dd65d2e586cab49bd58fcafe6aa3b418c887bc10eb2cb481a8382039109ac6d70f5c1e5aa77cfebedb2db0bb6f8ba9064dc33481ea73a4884d8f940473549c3731bad1506cf0c0d3bcdbf7f0f9ec632c2bdbc72ea4249493fcb508d6f300490f2a9aa4edf7d72d62c0eb9bc819aea29313dc937L : 0x11b926432b7d0a92843bbba21556d3e717b0d8d939bd7e64d8d92beac1b583a43cf1cb11611d64b33132fcdcb47e64fb5134886947670c2326a4d7179e938e8e728c7ecf49b4976724f5ed27b26839dbab0b706d04e7434c9508e384c6c3db0b30217256892aa6cac235ffe0e754b03db771c4d126fb75e88e314e7f2a7a4a41L}
  4 | {0xbdc6ef3625ca3b2fb4d37687f0719e7d6d4cccf80f63d1fc7255b60732e32ef5eace7a79cfc58679d09c18776c0a23922d64691ded7290b5dc4fc0a2335b32a3e600823695602b2bcdc61a11d2f362b5e39c27d070af5987c88edeca1c7713a7788309fd4ea6a0a14a06bf74d7e8c1482c5331dd54c1c4e751d821d2741b139fL : 0xbf0193ad871f60bded2f9747f2d5eb0922e5cfd5319239eb3867e42482ae9948a1fdad741762ae4c99b8dd696e3677d4211e77c1ec6c4de77bf60c99c0593237634b3985867392f94e7bc475c59d522f22bbd1c0a07ce0b5acab1a3d94f55320243ec887c8be021f43add95f6fdc7ee1847088631996f1e2f1a5b73dd4f81125L : 0xb7cdc34bb31f5b7af2eeb1635e3c986bf62f70208d7bc2c77dddeee1d6cbc7e4ee3e2c3e0028ca9cf30a14c0edd57ff5c16cc7bed3ea09f4bbcd8f6754ae80893e8a18732cbe933a643e67893b059f7a682ebfcd6e223af631c28918f312a2cd364a310bd353f37001daf8a3b859f188251a56ab4d4b1deb283dda863b80e089L}
  5 | {0xc22de074539eff94ad5743bc3734e96b8a5ed29ed8fbb593302984d8b8d852ffde098e66d30d3c719b20da75ac9ac15fb7f48d7d398765394ed167e5aa84e5534056b238f9b448a85d722de35c3dd5178de19c53fe5d94bebd94e4d084b85850347fd92a1ba6baeaf8ad720057af7c63ea63d0fc8ebd60175cedc5ab4fbdd90fL : 0x7ce04678f9b2740175fcc16ad74ed84c0187a26c068fb53ed0a47ab443728dd9ccca0136175d5164fbc1c629862c41486c60694be91be5b7dfbf7290dad5505be81883f35843482432d2d9683edda93d335266a6daa5f4fd94a506cc2782f36b4faf3e56524695579c1f45e803bafc698faf80955a70f5049c78e7720ef81adfL : 0xbb445e32662dbdb12aed9662b5d7365a32f50318d31e06cbd442ea9d16a1903bf739fa18682c5aa48dbe0bc8033f6d6b3bbfc54f633e247ecc36f4f5b0b24d8651c68e366dba0c4e6c7a8166946e63697ce9d8ba8e8648551166c8bfa4279961e9a87a4f6246dbf34033255dc3c8e0683709c1fe50623efecda39cb47e730a16L}
  6 | {0xa6480686467975bbcb2659e24326cb4f61183591680e596dc00d050f8f8f82f6e3ce19d9453d33da8093799775c74ef709b214f75f5b8db17f6b07f907daf0b2b75c546efa18ecef501b21663501f61779c2f66141e7e35921d17cac78845d68c1706e309907a4147bf7395a13fe373680507f18d406b5a4d4f298d4dbf1901fL : 0x1733e1aa91a3f1b884395b058245aa771ca5a9dafad1cc9cb3eb8581e2ab40853d83c97146bd01073b48469895ce974440a321b5b666db929eb594847e4e31ca39fd01d3d054807d05bf6205079391809992db17287c735ec78316492609aa44879f4e682824087a9b08ddee901d0fd8cec039c27273802c1fa21b51d4678ac5L : 0xa450e83df52eaca3e0a12a288589039e597f1c409046954af0232b8b3a259d639177f1128bbf639ef9f485e8ab98ae0577897203f8258596a5b3cc664dbcfeebee67e893b5949dcbcd42dde9f6e9038aec0c7e3a17eb6918203a1d7804e534c1404ded1d79f44de4a5ef3c7eacb5672b9399d39e330094472e05d3a811f431a4L}
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100 | {0xa9c69c41e9203ebfeddb28643fa9ed902f1a8285c326ea9e3606e14c1c0532165e20978cf01b96b8dab395487b83b216ce13e9e48e459c9f6218f415584bc43fc516ac13d4d4c5dd393a0c4f5537a738c8c46a5489c1c067058ee2369ebda780be7dcad016811783412aabb5e5a20938852c4aed039ce41c6c0b97899319e1a7L : 0x79f484c809d5a46baf9757557b8b368c37bdadbec9e27c84857d05f5597a8dcca78a1afcc76d4d36109cb65052e2adfecccd832f4175215b0b7588f584b2a18a225b19190a24db4f0d35673bece842a844b1f5e918c58f3cf6ba9a049a7cb103fcd7e2dc6342df8ce96c1509d9e32e373a224310f95e1423f13215c2e3d41fd9L : 0x142d4adc8f7cf1d23d66d36d513de5ec77bee1155eb7924dcf748770b98e6329b25eb6f3c36556906432fe00ca11185f23301fffa0bdf9a3a9f7eef418d1cab1cb64b4d7013436b96eae3f58f27a8aa0beda24a5cb4ea9dddc28e2a986af3c2819cdcb2731e3520db99584effbc5be10d1ea85e761d362fc66738949c3f2922fL}
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102 | 


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/test_files/wiener_test.py:
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 1 | from RSAExploits import rsa_cracker
 2 | from RSAExploits import RSAData
 3 | from RSAExploits import rsa_obj
 4 | from RSAExploits import TextData
 5 | from RSAExploits import num2string
 6 | from RSAExploits import Wiener
 7 | import sys
 8 | 
 9 | sys.setrecursionlimit(10000)
10 | 
11 | # Parse and store all of the ciphertexts provided by the file
12 | rsadata_list = []
13 | c = None
14 | e = None
15 | N = None
16 | f = open("wiener_list.txt", 'r')
17 | for line in f:
18 |     line = line.strip("{}").split(":")
19 |     N = long(line[0], 0)
20 |     e = long(line[1], 0)
21 |     c = long(line[2].split("}")[0], 0)
22 |     rsadata_list.append(RSAData(rsa_obj(N, e), TextData(c)))
23 | f.close()
24 | 
25 | # Run the exploit by specifying it
26 | if Wiener().run(rsadata_list):
27 |     for rsadata in rsadata_list:
28 |         if rsadata.get_d() != None and rsadata.get_c() != 0:
29 |             rsadata.decrypt()
30 |             print num2string(rsadata.get_m())
31 | 
32 | print "----------------------------------------------------"
33 | 
34 | # Run list of exploits
35 | rsa_cracker.init()
36 | if rsa_cracker.attack(rsadata_list):
37 |     for rsadata in rsadata_list:
38 |         if rsadata.get_d() != None and rsadata.get_c() != 0:
39 |             rsadata.decrypt()
40 |             print num2string(rsadata.get_m())
41 | 


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