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10
.gitignore
vendored
10
.gitignore
vendored
@ -1,3 +1,13 @@
|
||||
__pycache__/
|
||||
keys/
|
||||
test-file
|
||||
|
||||
#pyinstaller files
|
||||
dist/
|
||||
build/
|
||||
*.spec
|
||||
|
||||
#venv dir
|
||||
venv/
|
||||
|
||||
.idea/
|
||||
|
339
LICENSE
Normal file
339
LICENSE
Normal file
@ -0,0 +1,339 @@
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
Version 2, June 1991
|
||||
|
||||
Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
|
||||
Everyone is permitted to copy and distribute verbatim copies
|
||||
of this license document, but changing it is not allowed.
|
||||
|
||||
Preamble
|
||||
|
||||
The licenses for most software are designed to take away your
|
||||
freedom to share and change it. By contrast, the GNU General Public
|
||||
License is intended to guarantee your freedom to share and change free
|
||||
software--to make sure the software is free for all its users. This
|
||||
General Public License applies to most of the Free Software
|
||||
Foundation's software and to any other program whose authors commit to
|
||||
using it. (Some other Free Software Foundation software is covered by
|
||||
the GNU Lesser General Public License instead.) You can apply it to
|
||||
your programs, too.
|
||||
|
||||
When we speak of free software, we are referring to freedom, not
|
||||
price. Our General Public Licenses are designed to make sure that you
|
||||
have the freedom to distribute copies of free software (and charge for
|
||||
this service if you wish), that you receive source code or can get it
|
||||
if you want it, that you can change the software or use pieces of it
|
||||
in new free programs; and that you know you can do these things.
|
||||
|
||||
To protect your rights, we need to make restrictions that forbid
|
||||
anyone to deny you these rights or to ask you to surrender the rights.
|
||||
These restrictions translate to certain responsibilities for you if you
|
||||
distribute copies of the software, or if you modify it.
|
||||
|
||||
For example, if you distribute copies of such a program, whether
|
||||
gratis or for a fee, you must give the recipients all the rights that
|
||||
you have. You must make sure that they, too, receive or can get the
|
||||
source code. And you must show them these terms so they know their
|
||||
rights.
|
||||
|
||||
We protect your rights with two steps: (1) copyright the software, and
|
||||
(2) offer you this license which gives you legal permission to copy,
|
||||
distribute and/or modify the software.
|
||||
|
||||
Also, for each author's protection and ours, we want to make certain
|
||||
that everyone understands that there is no warranty for this free
|
||||
software. If the software is modified by someone else and passed on, we
|
||||
want its recipients to know that what they have is not the original, so
|
||||
that any problems introduced by others will not reflect on the original
|
||||
authors' reputations.
|
||||
|
||||
Finally, any free program is threatened constantly by software
|
||||
patents. We wish to avoid the danger that redistributors of a free
|
||||
program will individually obtain patent licenses, in effect making the
|
||||
program proprietary. To prevent this, we have made it clear that any
|
||||
patent must be licensed for everyone's free use or not licensed at all.
|
||||
|
||||
The precise terms and conditions for copying, distribution and
|
||||
modification follow.
|
||||
|
||||
GNU GENERAL PUBLIC LICENSE
|
||||
TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
|
||||
|
||||
0. This License applies to any program or other work which contains
|
||||
a notice placed by the copyright holder saying it may be distributed
|
||||
under the terms of this General Public License. The "Program", below,
|
||||
refers to any such program or work, and a "work based on the Program"
|
||||
means either the Program or any derivative work under copyright law:
|
||||
that is to say, a work containing the Program or a portion of it,
|
||||
either verbatim or with modifications and/or translated into another
|
||||
language. (Hereinafter, translation is included without limitation in
|
||||
the term "modification".) Each licensee is addressed as "you".
|
||||
|
||||
Activities other than copying, distribution and modification are not
|
||||
covered by this License; they are outside its scope. The act of
|
||||
running the Program is not restricted, and the output from the Program
|
||||
is covered only if its contents constitute a work based on the
|
||||
Program (independent of having been made by running the Program).
|
||||
Whether that is true depends on what the Program does.
|
||||
|
||||
1. You may copy and distribute verbatim copies of the Program's
|
||||
source code as you receive it, in any medium, provided that you
|
||||
conspicuously and appropriately publish on each copy an appropriate
|
||||
copyright notice and disclaimer of warranty; keep intact all the
|
||||
notices that refer to this License and to the absence of any warranty;
|
||||
and give any other recipients of the Program a copy of this License
|
||||
along with the Program.
|
||||
|
||||
You may charge a fee for the physical act of transferring a copy, and
|
||||
you may at your option offer warranty protection in exchange for a fee.
|
||||
|
||||
2. You may modify your copy or copies of the Program or any portion
|
||||
of it, thus forming a work based on the Program, and copy and
|
||||
distribute such modifications or work under the terms of Section 1
|
||||
above, provided that you also meet all of these conditions:
|
||||
|
||||
a) You must cause the modified files to carry prominent notices
|
||||
stating that you changed the files and the date of any change.
|
||||
|
||||
b) You must cause any work that you distribute or publish, that in
|
||||
whole or in part contains or is derived from the Program or any
|
||||
part thereof, to be licensed as a whole at no charge to all third
|
||||
parties under the terms of this License.
|
||||
|
||||
c) If the modified program normally reads commands interactively
|
||||
when run, you must cause it, when started running for such
|
||||
interactive use in the most ordinary way, to print or display an
|
||||
announcement including an appropriate copyright notice and a
|
||||
notice that there is no warranty (or else, saying that you provide
|
||||
a warranty) and that users may redistribute the program under
|
||||
these conditions, and telling the user how to view a copy of this
|
||||
License. (Exception: if the Program itself is interactive but
|
||||
does not normally print such an announcement, your work based on
|
||||
the Program is not required to print an announcement.)
|
||||
|
||||
These requirements apply to the modified work as a whole. If
|
||||
identifiable sections of that work are not derived from the Program,
|
||||
and can be reasonably considered independent and separate works in
|
||||
themselves, then this License, and its terms, do not apply to those
|
||||
sections when you distribute them as separate works. But when you
|
||||
distribute the same sections as part of a whole which is a work based
|
||||
on the Program, the distribution of the whole must be on the terms of
|
||||
this License, whose permissions for other licensees extend to the
|
||||
entire whole, and thus to each and every part regardless of who wrote it.
|
||||
|
||||
Thus, it is not the intent of this section to claim rights or contest
|
||||
your rights to work written entirely by you; rather, the intent is to
|
||||
exercise the right to control the distribution of derivative or
|
||||
collective works based on the Program.
|
||||
|
||||
In addition, mere aggregation of another work not based on the Program
|
||||
with the Program (or with a work based on the Program) on a volume of
|
||||
a storage or distribution medium does not bring the other work under
|
||||
the scope of this License.
|
||||
|
||||
3. You may copy and distribute the Program (or a work based on it,
|
||||
under Section 2) in object code or executable form under the terms of
|
||||
Sections 1 and 2 above provided that you also do one of the following:
|
||||
|
||||
a) Accompany it with the complete corresponding machine-readable
|
||||
source code, which must be distributed under the terms of Sections
|
||||
1 and 2 above on a medium customarily used for software interchange; or,
|
||||
|
||||
b) Accompany it with a written offer, valid for at least three
|
||||
years, to give any third party, for a charge no more than your
|
||||
cost of physically performing source distribution, a complete
|
||||
machine-readable copy of the corresponding source code, to be
|
||||
distributed under the terms of Sections 1 and 2 above on a medium
|
||||
customarily used for software interchange; or,
|
||||
|
||||
c) Accompany it with the information you received as to the offer
|
||||
to distribute corresponding source code. (This alternative is
|
||||
allowed only for noncommercial distribution and only if you
|
||||
received the program in object code or executable form with such
|
||||
an offer, in accord with Subsection b above.)
|
||||
|
||||
The source code for a work means the preferred form of the work for
|
||||
making modifications to it. For an executable work, complete source
|
||||
code means all the source code for all modules it contains, plus any
|
||||
associated interface definition files, plus the scripts used to
|
||||
control compilation and installation of the executable. However, as a
|
||||
special exception, the source code distributed need not include
|
||||
anything that is normally distributed (in either source or binary
|
||||
form) with the major components (compiler, kernel, and so on) of the
|
||||
operating system on which the executable runs, unless that component
|
||||
itself accompanies the executable.
|
||||
|
||||
If distribution of executable or object code is made by offering
|
||||
access to copy from a designated place, then offering equivalent
|
||||
access to copy the source code from the same place counts as
|
||||
distribution of the source code, even though third parties are not
|
||||
compelled to copy the source along with the object code.
|
||||
|
||||
4. You may not copy, modify, sublicense, or distribute the Program
|
||||
except as expressly provided under this License. Any attempt
|
||||
otherwise to copy, modify, sublicense or distribute the Program is
|
||||
void, and will automatically terminate your rights under this License.
|
||||
However, parties who have received copies, or rights, from you under
|
||||
this License will not have their licenses terminated so long as such
|
||||
parties remain in full compliance.
|
||||
|
||||
5. You are not required to accept this License, since you have not
|
||||
signed it. However, nothing else grants you permission to modify or
|
||||
distribute the Program or its derivative works. These actions are
|
||||
prohibited by law if you do not accept this License. Therefore, by
|
||||
modifying or distributing the Program (or any work based on the
|
||||
Program), you indicate your acceptance of this License to do so, and
|
||||
all its terms and conditions for copying, distributing or modifying
|
||||
the Program or works based on it.
|
||||
|
||||
6. Each time you redistribute the Program (or any work based on the
|
||||
Program), the recipient automatically receives a license from the
|
||||
original licensor to copy, distribute or modify the Program subject to
|
||||
these terms and conditions. You may not impose any further
|
||||
restrictions on the recipients' exercise of the rights granted herein.
|
||||
You are not responsible for enforcing compliance by third parties to
|
||||
this License.
|
||||
|
||||
7. If, as a consequence of a court judgment or allegation of patent
|
||||
infringement or for any other reason (not limited to patent issues),
|
||||
conditions are imposed on you (whether by court order, agreement or
|
||||
otherwise) that contradict the conditions of this License, they do not
|
||||
excuse you from the conditions of this License. If you cannot
|
||||
distribute so as to satisfy simultaneously your obligations under this
|
||||
License and any other pertinent obligations, then as a consequence you
|
||||
may not distribute the Program at all. For example, if a patent
|
||||
license would not permit royalty-free redistribution of the Program by
|
||||
all those who receive copies directly or indirectly through you, then
|
||||
the only way you could satisfy both it and this License would be to
|
||||
refrain entirely from distribution of the Program.
|
||||
|
||||
If any portion of this section is held invalid or unenforceable under
|
||||
any particular circumstance, the balance of the section is intended to
|
||||
apply and the section as a whole is intended to apply in other
|
||||
circumstances.
|
||||
|
||||
It is not the purpose of this section to induce you to infringe any
|
||||
patents or other property right claims or to contest validity of any
|
||||
such claims; this section has the sole purpose of protecting the
|
||||
integrity of the free software distribution system, which is
|
||||
implemented by public license practices. Many people have made
|
||||
generous contributions to the wide range of software distributed
|
||||
through that system in reliance on consistent application of that
|
||||
system; it is up to the author/donor to decide if he or she is willing
|
||||
to distribute software through any other system and a licensee cannot
|
||||
impose that choice.
|
||||
|
||||
This section is intended to make thoroughly clear what is believed to
|
||||
be a consequence of the rest of this License.
|
||||
|
||||
8. If the distribution and/or use of the Program is restricted in
|
||||
certain countries either by patents or by copyrighted interfaces, the
|
||||
original copyright holder who places the Program under this License
|
||||
may add an explicit geographical distribution limitation excluding
|
||||
those countries, so that distribution is permitted only in or among
|
||||
countries not thus excluded. In such case, this License incorporates
|
||||
the limitation as if written in the body of this License.
|
||||
|
||||
9. The Free Software Foundation may publish revised and/or new versions
|
||||
of the General Public License from time to time. Such new versions will
|
||||
be similar in spirit to the present version, but may differ in detail to
|
||||
address new problems or concerns.
|
||||
|
||||
Each version is given a distinguishing version number. If the Program
|
||||
specifies a version number of this License which applies to it and "any
|
||||
later version", you have the option of following the terms and conditions
|
||||
either of that version or of any later version published by the Free
|
||||
Software Foundation. If the Program does not specify a version number of
|
||||
this License, you may choose any version ever published by the Free Software
|
||||
Foundation.
|
||||
|
||||
10. If you wish to incorporate parts of the Program into other free
|
||||
programs whose distribution conditions are different, write to the author
|
||||
to ask for permission. For software which is copyrighted by the Free
|
||||
Software Foundation, write to the Free Software Foundation; we sometimes
|
||||
make exceptions for this. Our decision will be guided by the two goals
|
||||
of preserving the free status of all derivatives of our free software and
|
||||
of promoting the sharing and reuse of software generally.
|
||||
|
||||
NO WARRANTY
|
||||
|
||||
11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
|
||||
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW. EXCEPT WHEN
|
||||
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
|
||||
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
|
||||
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
|
||||
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE. THE ENTIRE RISK AS
|
||||
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU. SHOULD THE
|
||||
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
|
||||
REPAIR OR CORRECTION.
|
||||
|
||||
12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
|
||||
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
|
||||
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
|
||||
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
|
||||
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
|
||||
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
|
||||
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
|
||||
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
|
||||
POSSIBILITY OF SUCH DAMAGES.
|
||||
|
||||
END OF TERMS AND CONDITIONS
|
||||
|
||||
How to Apply These Terms to Your New Programs
|
||||
|
||||
If you develop a new program, and you want it to be of the greatest
|
||||
possible use to the public, the best way to achieve this is to make it
|
||||
free software which everyone can redistribute and change under these terms.
|
||||
|
||||
To do so, attach the following notices to the program. It is safest
|
||||
to attach them to the start of each source file to most effectively
|
||||
convey the exclusion of warranty; and each file should have at least
|
||||
the "copyright" line and a pointer to where the full notice is found.
|
||||
|
||||
<one line to give the program's name and a brief idea of what it does.>
|
||||
Copyright (C) <year> <name of author>
|
||||
|
||||
This program is free software; you can redistribute it and/or modify
|
||||
it under the terms of the GNU General Public License as published by
|
||||
the Free Software Foundation; either version 2 of the License, or
|
||||
(at your option) any later version.
|
||||
|
||||
This program is distributed in the hope that it will be useful,
|
||||
but WITHOUT ANY WARRANTY; without even the implied warranty of
|
||||
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
||||
GNU General Public License for more details.
|
||||
|
||||
You should have received a copy of the GNU General Public License along
|
||||
with this program; if not, write to the Free Software Foundation, Inc.,
|
||||
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
|
||||
|
||||
Also add information on how to contact you by electronic and paper mail.
|
||||
|
||||
If the program is interactive, make it output a short notice like this
|
||||
when it starts in an interactive mode:
|
||||
|
||||
Gnomovision version 69, Copyright (C) year name of author
|
||||
Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
|
||||
This is free software, and you are welcome to redistribute it
|
||||
under certain conditions; type `show c' for details.
|
||||
|
||||
The hypothetical commands `show w' and `show c' should show the appropriate
|
||||
parts of the General Public License. Of course, the commands you use may
|
||||
be called something other than `show w' and `show c'; they could even be
|
||||
mouse-clicks or menu items--whatever suits your program.
|
||||
|
||||
You should also get your employer (if you work as a programmer) or your
|
||||
school, if any, to sign a "copyright disclaimer" for the program, if
|
||||
necessary. Here is a sample; alter the names:
|
||||
|
||||
Yoyodyne, Inc., hereby disclaims all copyright interest in the program
|
||||
`Gnomovision' (which makes passes at compilers) written by James Hacker.
|
||||
|
||||
<signature of Ty Coon>, 1 April 1989
|
||||
Ty Coon, President of Vice
|
||||
|
||||
This General Public License does not permit incorporating your program into
|
||||
proprietary programs. If your program is a subroutine library, you may
|
||||
consider it more useful to permit linking proprietary applications with the
|
||||
library. If this is what you want to do, use the GNU Lesser General
|
||||
Public License instead of this License.
|
33
MillerRabin.py
Normal file
33
MillerRabin.py
Normal file
@ -0,0 +1,33 @@
|
||||
|
||||
# Copyright (C) 2019-2021 Hesham T. Banafa
|
||||
|
||||
#From: https://stackoverflow.com/questions/17298130/working-with-large-primes-in-python
|
||||
from random import randrange
|
||||
def is_prime(n, k=10):
|
||||
if n == 2:
|
||||
return True
|
||||
if not n & 1:
|
||||
return False
|
||||
|
||||
def check(a, s, d, n):
|
||||
x = pow(a, d, n)
|
||||
if x == 1:
|
||||
return True
|
||||
for i in range(s - 1):
|
||||
if x == n - 1:
|
||||
return True
|
||||
x = pow(x, 2, n)
|
||||
return x == n - 1
|
||||
|
||||
s = 0
|
||||
d = n - 1
|
||||
|
||||
while d % 2 == 0:
|
||||
d >>= 1
|
||||
s += 1
|
||||
|
||||
for i in range(k):
|
||||
a = randrange(2, n - 1)
|
||||
if not check(a, s, d, n):
|
||||
return False
|
||||
return True
|
24
OAEP.py
Normal file
24
OAEP.py
Normal file
@ -0,0 +1,24 @@
|
||||
# Copyright (C) 2019-2021 Hesham T. Banafa
|
||||
|
||||
#From: https://stackoverflow.com/questions/39964383/implementation-of-i2osp-and-os2ip
|
||||
|
||||
def i2osp(x, xLen):
|
||||
if x >= 256**xLen:
|
||||
raise ValueError("integer too large")
|
||||
digits = []
|
||||
|
||||
while x:
|
||||
digits.append(int(x % 256))
|
||||
x //= 256
|
||||
for i in range(xLen - len(digits)):
|
||||
digits.append(0)
|
||||
return digits[::-1]
|
||||
|
||||
def os2ip(X):
|
||||
xLen = len(X)
|
||||
X = X[::-1]
|
||||
x = 0
|
||||
for i in range(xLen):
|
||||
x += X[i] * 256**i
|
||||
return x
|
||||
|
29
README.md
Normal file
29
README.md
Normal file
@ -0,0 +1,29 @@
|
||||
|
||||
# hesham-rsa
|
||||
A simple program written in python to implement RSA public encryption. Used as Course EE-305 project KAU.
|
||||
# Installation
|
||||
There is no packaging or installation. Works in current dir (portable) for now.
|
||||
|
||||
git clone https://apollo-server.ddns.net/gitea/Hesham/hesham-rsa.git
|
||||
cd hesham-rsa
|
||||
|
||||
# Usage
|
||||
|
||||
./rsa.py [COMMAND] [ARGS]
|
||||
or
|
||||
|
||||
python rsa.py [COMMAND] [ARGS]
|
||||
|
||||
## generating keys
|
||||
to generate a key pair with and ID
|
||||
|
||||
./rsa.py gen [keysize] [keyID]
|
||||
All generated keys are saved in {$working_dir}/saves/
|
||||
## encrypting
|
||||
|
||||
./rsa.py encrypt "[message]" [RecieverKeyID] [SenderSignetureKeyID]
|
||||
## decrypting
|
||||
Assuming the encrypted message is encrypted to myPrivateKey
|
||||
|
||||
./rsa.py decrypt "[cipher]" [myPrivateKeyID]
|
||||
The signature is checked with all public keys stored in keys directory
|
6
TODO
6
TODO
@ -1,11 +1,7 @@
|
||||
Add signing capability. (sign a word (last word?) using private key)
|
||||
so reciever can decrypt using my public key to verify the sender.
|
||||
|
||||
Add scrambling of padding to encrypted messages.
|
||||
https://www.inf.pucrs.br/~calazans/graduate/TPVLSI_I/RSA-oaep_spec.pdf
|
||||
|
||||
Add cmd to list keys in keys dir and check if it has private key also.
|
||||
|
||||
Add use SHA-1 to provide public key finger print (hashing function).
|
||||
|
||||
Support reading file for encryption, decryption and maybe signing.
|
||||
@ -14,3 +10,5 @@ resources:
|
||||
https://crypto.stackexchange.com/questions/1448/definition-of-textbook-rsa
|
||||
https://crypto.stackexchange.com/questions/3608/why-is-padding-used-for-rsa-encryption-given-that-it-is-not-a-block-cipher
|
||||
https://www.inf.pucrs.br/~calazans/graduate/TPVLSI_I/RSA-oaep_spec.pdf
|
||||
https://stackoverflow.com/questions/17298130/working-with-large-primes-in-python
|
||||
RSA Primitives documentation PKCS: https://tools.ietf.org/html/rfc8017#section-4
|
||||
|
0
__init__.py
Normal file
0
__init__.py
Normal file
@ -1,4 +1,6 @@
|
||||
#!/usr/bin/python3
|
||||
|
||||
# Copyright (C) 2019-2021 Hesham T. Banafa
|
||||
|
||||
s = 'test message hello awdawd'
|
||||
print(s)
|
||||
@ -38,3 +40,14 @@ print(sig_enc)
|
||||
sig_un = en.decrypt(sig_enc,d,n)
|
||||
print(sig_un)
|
||||
print(key)
|
||||
|
||||
import OAEP
|
||||
|
||||
key = en.generateKeys("encode-test", 2048)
|
||||
x = int(en.encrypt("test message", (key[en.N], key[en.E])))
|
||||
print(x)
|
||||
encoded_msg = OAEP.i2osp(x, key[en.N].bit_length())
|
||||
print(encoded_msg)
|
||||
|
||||
decoded = OAEP.os2ip(encoded_msg)
|
||||
print(decoded)
|
||||
|
424
rsa.py
424
rsa.py
@ -1,6 +1,8 @@
|
||||
#!/usr/bin/python3
|
||||
|
||||
#program to generate rsa key pair using methods in EE-305
|
||||
# Copyright (C) 2019-2021 Hesham T. Banafa
|
||||
|
||||
# program to generate rsa key pair using methods in EE-305
|
||||
# Hesham Banafa
|
||||
|
||||
"""
|
||||
@ -13,33 +15,56 @@ https://crypto.stackexchange.com/questions/13113/how-can-i-find-the-prime-number
|
||||
import math
|
||||
import os
|
||||
import sys
|
||||
import MillerRabin as mr
|
||||
|
||||
VERSION = "1.2.2"
|
||||
keysFolder = "keys/"
|
||||
byteOrder = "little"
|
||||
N=0
|
||||
E=1
|
||||
D=2
|
||||
P=3
|
||||
Q=4
|
||||
PHI=5
|
||||
ID=6
|
||||
N = 0
|
||||
E = 1
|
||||
D = 2
|
||||
P = 3
|
||||
Q = 4
|
||||
PHI = 5
|
||||
ID = 6
|
||||
|
||||
|
||||
def main():
|
||||
print("hesham-rsa version ", VERSION)
|
||||
|
||||
if sys.argv[1] == "gen": ##rsa gen <keysize> <keyname>
|
||||
if len(sys.argv) == 1:
|
||||
printHelp()
|
||||
sys.exit(127)
|
||||
|
||||
if sys.argv[1] == "gen" and len(sys.argv) == 4: ##rsa gen <keysize> <keyname>
|
||||
keyFileName = sys.argv[3]
|
||||
if keyExist(keyFileName):
|
||||
choice = input("overwrite key %s (y/n)" % keyFileName)
|
||||
if choice == "y":
|
||||
key = generateKeys(keyFileName, int(sys.argv[2]))
|
||||
elif choice == "n":
|
||||
sys.exit(0)
|
||||
else:
|
||||
print("unrecognized choice!")
|
||||
sys.exit(1)
|
||||
else:
|
||||
key = generateKeys(keyFileName, int(sys.argv[2]))
|
||||
print("e: ", key[E])
|
||||
print("n: ", key[N])
|
||||
print("d: ", key[D])
|
||||
printKey(key)
|
||||
try:
|
||||
saveKeyFile(key, keyFileName)
|
||||
except IOError:
|
||||
print("could not write file")
|
||||
exit(1)
|
||||
sys.exit(1)
|
||||
except Exception as ex:
|
||||
print(ex)
|
||||
exit(1)
|
||||
if len(sys.argv) == 5 or len(sys.argv) == 4:
|
||||
if sys.argv[1] == "encrypt": ##rsa encrypt <message> <key> <signer>
|
||||
sys.exit(1)
|
||||
sys.exit(0)
|
||||
if (
|
||||
sys.argv[1] == "encrypt" and len(sys.argv) == 5
|
||||
): ##rsa encrypt <message> <key> <signer>
|
||||
msg = sys.argv[2]
|
||||
msg_list = msg.split()
|
||||
keyName = sys.argv[3]
|
||||
@ -49,11 +74,18 @@ def main():
|
||||
key_public = (key[N], key[E])
|
||||
msg_encrypted = ""
|
||||
for word in msg_list:
|
||||
msg_encrypted = msg_encrypted + " " + str(encrypt(word, key_public))
|
||||
#msg_encrypted = encrypt(msg, key_public)
|
||||
msg_encrypted = msg_encrypted + " " + hex(encrypt(word, key_public))
|
||||
# msg_encrypted = encrypt(msg, key_public)
|
||||
print("Encrypted msg: \n", msg_encrypted)
|
||||
print("Signed: \n", sign(msg_encrypted, signing_key))
|
||||
if sys.argv[1] == "decrypt": ##rsa decrypt <cipher> <key>
|
||||
print(
|
||||
"Signed: \n", sign(msg_encrypted, signing_key)
|
||||
) ## Adds an encrypted sig at the end of message.
|
||||
sys.exit(0)
|
||||
elif sys.argv[1] == "encrypt":
|
||||
print("Not enough arguments")
|
||||
print("rsa encrypt <message> <key> <signer>")
|
||||
sys.exit(1)
|
||||
if sys.argv[1] == "decrypt" and len(sys.argv) == 4: ##rsa decrypt "<cipher>" <key>
|
||||
cipher = sys.argv[2]
|
||||
cipher_list = cipher.split()
|
||||
sig = verify(cipher_list)
|
||||
@ -61,90 +93,152 @@ def main():
|
||||
msg_decrypted = ""
|
||||
key = readKeyFile(sys.argv[3])
|
||||
for cipher_word in cipher_list:
|
||||
msg_decrypted = msg_decrypted + " " + str(decrypt(int(cipher_word),key[D],key[N]))
|
||||
#with open(fileName, "r") as cipherFile:
|
||||
# cipher = int(cipherFile.readline()) ##one line may make problems later with padding
|
||||
print("Signed by: ", sig)
|
||||
msg_decrypted = (
|
||||
msg_decrypted + " " + str(decrypt(int(cipher_word, 16), key[D], key[N]))
|
||||
)
|
||||
if sig == None:
|
||||
print("\033[91mUnknown signature! \u2717" + "\033[0m")
|
||||
else:
|
||||
print("Signed by: \033[92m " + sig + " \u2713\033[0m")
|
||||
print("Decrypted message: \n", msg_decrypted)
|
||||
sys.exit(0)
|
||||
elif sys.argv[1] == "decrypt":
|
||||
print("Not enough arguments")
|
||||
print('rsa decrypt "<cipher>" <keyid>')
|
||||
sys.exit(1)
|
||||
if sys.argv[1] == "list":
|
||||
listKeys()
|
||||
sys.exit(0)
|
||||
if sys.argv[1] == "export" and len(sys.argv) == 3: # rsa export <key>
|
||||
key_file_name = sys.argv[2]
|
||||
exportKey(key_file_name)
|
||||
sys.exit(0)
|
||||
elif sys.argv[1] == "export":
|
||||
printHelp()
|
||||
sys.exit(1)
|
||||
if sys.argv[1] == "crack" and len(sys.argv) == 3: # rsa crack <key>
|
||||
keyName = sys.argv[2]
|
||||
cracked_key = crackKey2(keyName)
|
||||
printKey(cracked_key)
|
||||
sys.exit(0)
|
||||
elif sys.argv[1] == "crack":
|
||||
printHelp()
|
||||
sys.exit(1)
|
||||
if sys.argv[1] == "is_prime" and len(sys.argv) == 4: # rsa is_prime <base> <N>
|
||||
isPrime_cmd(0)
|
||||
sys.exit(0)
|
||||
if (
|
||||
sys.argv[1] == "is_prime_mr" and len(sys.argv) == 4
|
||||
): # rsa is_prime_mr <base> <N>
|
||||
isPrime_cmd(1)
|
||||
sys.exit(0)
|
||||
if sys.argv[1] == "genrand" and len(sys.argv) == 3: # rsa genrand <bits>
|
||||
print(gen_random(int(sys.argv[2])))
|
||||
sys.exit(0)
|
||||
if sys.argv[1] == "genprime" and len(sys.argv) == 3: # rsa genprime <bits>
|
||||
print(getPrime(int(sys.argv[2])))
|
||||
sys.exit(0)
|
||||
if (
|
||||
sys.argv[1] == "prime_factors" and len(sys.argv) == 4
|
||||
): # rsa primefactors <base> <N>
|
||||
prime_factors(sys.argv[3], sys.argv[2])
|
||||
sys.exit(0)
|
||||
if sys.argv[1] == "print" and len(sys.argv) == 3: # rsa print <key>
|
||||
printKey(readKeyFile(sys.argv[2]))
|
||||
sys.exit(0)
|
||||
elif sys.argv[1] == "print":
|
||||
printHelp()
|
||||
sys.exit(1)
|
||||
if sys.argv[1] == "help":
|
||||
printHelp()
|
||||
sys.exit(0)
|
||||
|
||||
# No command exit code
|
||||
printHelp()
|
||||
sys.exit(127)
|
||||
|
||||
|
||||
def generateKeys(id, bits=64):
|
||||
from multiprocessing.pool import Pool
|
||||
#Primes of size 32 bit random
|
||||
#resulting in a 64-bit key mod
|
||||
|
||||
# Primes of size 32 bit random
|
||||
# resulting in a 64-bit key mod
|
||||
pool = Pool()
|
||||
result1 = pool.apply_async(getPrime, [int(bits/2)])
|
||||
result2 = pool.apply_async(getPrime, [int(bits/2)])
|
||||
result1 = pool.apply_async(getPrime, [int(bits / 2)])
|
||||
result2 = pool.apply_async(getPrime, [int(bits / 2)])
|
||||
p = result1.get()
|
||||
q = result2.get()
|
||||
n = p*q
|
||||
#print("n: ", n)
|
||||
n = p * q
|
||||
# print("n: ", n)
|
||||
|
||||
#lamda(n) = LCM(p-1, q-1)
|
||||
#Since LCM(a,b) = ab/GCD(a,b)
|
||||
#gcd = math.gcd(p-1, q-1)
|
||||
#print("GCD: ", gcd)
|
||||
#lcm = abs((p-1) * (q-1)) / gcd
|
||||
#print("LCM: ", lcm)
|
||||
phi = (p-1)*(q-1)
|
||||
#print("phi: ", phi)
|
||||
#e exponant should be 1 < e < lamda(n) and GCD(e, lamda(n)) = 1 (coprime)
|
||||
# lamda(n) = LCM(p-1, q-1)
|
||||
# Since LCM(a,b) = ab/GCD(a,b)
|
||||
# gcd = math.gcd(p-1, q-1)
|
||||
# print("GCD: ", gcd)
|
||||
# lcm = abs((p-1) * (q-1)) / gcd
|
||||
# print("LCM: ", lcm)
|
||||
phi = (p - 1) * (q - 1)
|
||||
# print("phi: ", phi)
|
||||
# e exponant should be 1 < e < lamda(n) and GCD(e, lamda(n)) = 1 (coprime)
|
||||
# recommended value is 65,537
|
||||
e = 65537
|
||||
d = pow(e,-1,phi)
|
||||
d = pow(e, -1, phi) # d = e^-1 mod phi
|
||||
return (n, e, d, p, q, phi, id)
|
||||
|
||||
|
||||
def encrypt(message, publicKey):
|
||||
msg_text = message
|
||||
n = publicKey[N]
|
||||
e = publicKey[E]
|
||||
print("using n: {0}, e: {1}".format(n, e))
|
||||
# print("using n: {0}, e: {1}".format(n, e))
|
||||
|
||||
msg_number_form = int.from_bytes(msg_text.encode(), byteOrder)
|
||||
print("Word: %s or %d" % (msg_text, msg_number_form))
|
||||
# print("Word: %s or %d" % (msg_text, msg_number_form))
|
||||
|
||||
msg_encrypted_number_form = pow(msg_number_form, e, n) # c = msg^e mod n
|
||||
return msg_encrypted_number_form
|
||||
|
||||
|
||||
def decrypt(cipher, privateKey, n):
|
||||
msg_encrypted_number_form = cipher
|
||||
d = privateKey
|
||||
msg_decrypted_number_form = pow(msg_encrypted_number_form, d, n) # msg = c^d mod n
|
||||
msg_decrypted = int(msg_decrypted_number_form)
|
||||
try:
|
||||
msg_decrypted = str(msg_decrypted.to_bytes(msg_decrypted.bit_length(), byteOrder).decode()).strip()
|
||||
msg_decrypted = str(
|
||||
msg_decrypted.to_bytes(msg_decrypted.bit_length(), byteOrder).decode()
|
||||
).strip()
|
||||
except UnicodeDecodeError:
|
||||
print("Cant decrypt properly")
|
||||
# print("decrypt: Cant decrypt properly")
|
||||
return ""
|
||||
return msg_decrypted
|
||||
|
||||
|
||||
def getPrime(bits):
|
||||
while True:
|
||||
#Byte order "little" or "big" does not matter here since we want a random number from os.urandom()
|
||||
x = int.from_bytes(os.urandom(int(bits/8)), byteOrder)
|
||||
print("trying: ", x, end="")
|
||||
if isPrime(x):
|
||||
print("\nprime: ", x)
|
||||
# Byte order "little" or "big" does not matter here since we want a random number from os.urandom()
|
||||
x = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
|
||||
print("Trying: ", x, end="\n")
|
||||
if mr.is_prime(x):
|
||||
print("\nprime: ", x, "\n")
|
||||
return x
|
||||
print("\r",end="")
|
||||
# backTrack(x)
|
||||
|
||||
|
||||
def isPrime(number):
|
||||
if number == 2:
|
||||
return True
|
||||
|
||||
#if 2 devides number then num is not prime. pg.21
|
||||
# if 2 devides number then num is not prime. pg.21
|
||||
if number % 2 == 0 or number == 1:
|
||||
return False
|
||||
|
||||
#largest integer less than or equal square root of number (K)
|
||||
# largest integer less than or equal square root of number (K)
|
||||
rootOfNum = math.sqrt(number)
|
||||
K = math.floor(rootOfNum)
|
||||
|
||||
#Take odd D such that 1 < D <= K
|
||||
#If D devides number then number is not prime. otherwise prime.
|
||||
# Take odd D such that 1 < D <= K
|
||||
# If D devides number then number is not prime. otherwise prime.
|
||||
for D in range(1, K, 2):
|
||||
if D % 2 == 0 or D == 1:
|
||||
pass
|
||||
@ -153,83 +247,253 @@ def isPrime(number):
|
||||
return False
|
||||
return True
|
||||
|
||||
|
||||
def gen_random(bits: int):
|
||||
x = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
|
||||
return x
|
||||
|
||||
|
||||
def sign(encrypted_msg, key):
|
||||
enc_msg = str(encrypted_msg)
|
||||
encrypted_msg_list = enc_msg.split()
|
||||
enc_sig = encrypt("sig:"+key[ID], (key[N], key[D]))
|
||||
encrypted_msg_list.append(enc_sig)
|
||||
enc_sig = encrypt("sig:" + key[ID], (key[N], key[D]))
|
||||
encrypted_msg_list.append(hex(enc_sig))
|
||||
signed_msg = ""
|
||||
for word in encrypted_msg_list:
|
||||
signed_msg = str(signed_msg) + " " + str(word)
|
||||
return signed_msg.strip()
|
||||
|
||||
|
||||
def verify(cipher_list):
|
||||
sig = "Unknown"
|
||||
local_keys = os.listdir(keysFolder)
|
||||
cipher_list.reverse() #To get last word using index 0
|
||||
cipher_list.reverse() # To get last word using index 0
|
||||
encrypted_sig = cipher_list[0]
|
||||
cipher_list.reverse()
|
||||
sig = None
|
||||
for key_name in local_keys:
|
||||
key = readKeyFile(key_name)
|
||||
print("Found key: ", key_name)
|
||||
sig = str(decrypt(int(encrypted_sig), key[E], key[N]))
|
||||
sig = str(decrypt(int(encrypted_sig, 16), key[E], key[N]))
|
||||
if "sig:" in sig:
|
||||
return sig.replace("sig:","")
|
||||
return sig.replace("sig:", "")
|
||||
else:
|
||||
continue
|
||||
else:
|
||||
return None
|
||||
|
||||
|
||||
def isPrime_cmd(func):
|
||||
number = int_base_n_from_str(sys.argv[3], sys.argv[2])
|
||||
|
||||
if func == 0:
|
||||
prime = isPrime(number)
|
||||
elif func == 1:
|
||||
prime = mr.is_prime(number)
|
||||
|
||||
if prime:
|
||||
print("Prime")
|
||||
# print(number)
|
||||
else:
|
||||
print("Not prime")
|
||||
|
||||
|
||||
def prime_factors(number, base):
|
||||
num = int_base_n_from_str(number, base)
|
||||
factors = {1: 1}
|
||||
k = 0
|
||||
while num % 2 == 0:
|
||||
k += 1
|
||||
num = num / 2
|
||||
if k != 0:
|
||||
factors.update({2: k})
|
||||
|
||||
for i in range(3, int(math.sqrt(num)) + 1, 2):
|
||||
j = 0
|
||||
while num % i == 0:
|
||||
j += 1
|
||||
num = num / i
|
||||
if j != 0:
|
||||
factors.update({i: j})
|
||||
if num > 2:
|
||||
factors.update({int(num): 1})
|
||||
|
||||
print(factors)
|
||||
|
||||
|
||||
def readKeyFile(keyName):
|
||||
key = tuple()
|
||||
with open(keysFolder+keyName, "r") as keyFile:
|
||||
with open(keysFolder + keyName, "r") as keyFile:
|
||||
tempkey = keyFile.readlines()
|
||||
if len(tempkey) == 3: #means it only public part (n, e, id)
|
||||
key = (int(tempkey[N].strip(), 16), int(tempkey[E].strip(), 16), 0, 0, 0, 0, tempkey[2])
|
||||
else: #Make this a loop from 0 to 5
|
||||
key = (int(tempkey[N].strip(), 16),
|
||||
if len(tempkey) == 3: # means it only public part (n, e, id)
|
||||
key = (
|
||||
int(tempkey[N].strip(), 16),
|
||||
int(tempkey[E].strip(), 16),
|
||||
0,
|
||||
0,
|
||||
0,
|
||||
0,
|
||||
tempkey[2],
|
||||
)
|
||||
else: # Make this a loop from 0 to 5
|
||||
key = (
|
||||
int(tempkey[N].strip(), 16),
|
||||
int(tempkey[E].strip(), 16),
|
||||
int(tempkey[D].strip(), 16),
|
||||
int(tempkey[P].strip(), 16),
|
||||
int(tempkey[Q].strip(), 16),
|
||||
int(tempkey[PHI].strip(), 16),
|
||||
str(tempkey[ID].strip()))
|
||||
str(tempkey[ID].strip()),
|
||||
)
|
||||
return key
|
||||
|
||||
|
||||
def saveKeyFile(key, fileName):
|
||||
if not os.path.isdir(keysFolder):
|
||||
os.makedirs(keysFolder)
|
||||
with open(keysFolder+fileName, "w") as keyFile:
|
||||
with open(keysFolder + fileName, "w") as keyFile:
|
||||
for entry in range(0, 6):
|
||||
keyFile.write(hex(key[entry])+"\n")
|
||||
keyFile.write(key[ID]+"\n")
|
||||
if key[entry] != 0:
|
||||
keyFile.write(hex(key[entry]) + "\n")
|
||||
else:
|
||||
pass
|
||||
keyFile.write(key[ID] + "\n")
|
||||
|
||||
|
||||
def printKey(key):
|
||||
n = key[N]
|
||||
e = key[E]
|
||||
d = key[D]
|
||||
print("----------------------------------------------"+
|
||||
"\nID: {}".format(key[ID]) +
|
||||
"\n{}-BIT KEY".format(n.bit_length())+
|
||||
"\nPUBLIC PART:"+
|
||||
"\n{0}/{1}".format(hex(n), hex(e))+
|
||||
"\nPTIVATE PART:"+
|
||||
"\n{0}".format(hex(d))+
|
||||
"\n----------------------------------------------",
|
||||
id = key[ID]
|
||||
print(
|
||||
"----------------------------------------------"
|
||||
+ "\nID: {}".format(id)
|
||||
+ "\n{}-BIT KEY".format(n.bit_length())
|
||||
+ "\nPUBLIC PART:"
|
||||
+ "\n{0}/{1}".format(hex(n), hex(e))
|
||||
+ "\nPTIVATE PART:"
|
||||
+ "\n{0}".format(hex(d))
|
||||
+ "\n----------------------------------------------",
|
||||
)
|
||||
|
||||
|
||||
def listKeys():
|
||||
if not os.path.isdir(keysFolder):
|
||||
os.makedirs(keysFolder)
|
||||
local_keys = os.listdir(keysFolder)
|
||||
print(local_keys)
|
||||
if len(local_keys) == 0:
|
||||
print("Cant find local keys.")
|
||||
return
|
||||
print("ID PRIVATE")
|
||||
print("________________")
|
||||
print("ID PRIVATE SIZE")
|
||||
print("-------------------------")
|
||||
for keyName in local_keys:
|
||||
key = readKeyFile(keyName)
|
||||
if key[D] == 0:
|
||||
check = u''
|
||||
else: check = u'\u2713'
|
||||
print("{} {}\n".format(key[ID], check))
|
||||
check = "".strip()
|
||||
else:
|
||||
check = "\u2713"
|
||||
print("%10s%7s%7s-bit" % (key[ID].strip(), check, key[N].bit_length()))
|
||||
|
||||
|
||||
def exportKey(keyFileName):
|
||||
key = readKeyFile(keyFileName)
|
||||
public_key = (key[N], key[E], 0, 0, 0, 0, key[ID])
|
||||
saveKeyFile(public_key, key[ID] + "-public")
|
||||
print("Saved public form of key {} in keys folder".format(key[ID]))
|
||||
|
||||
|
||||
def crackKey(keyName):
|
||||
print("in crack")
|
||||
key = readKeyFile(keyName)
|
||||
n = key[N]
|
||||
for number in range(7, n - 1):
|
||||
if mr.is_prime(number):
|
||||
print("Trying prime: ", number, end="\r")
|
||||
# if number devides n then it p or q
|
||||
if n % number == 0:
|
||||
p = number
|
||||
q = int(n / p)
|
||||
phi = (p - 1) * (q - 1)
|
||||
e = 65537
|
||||
d = pow(e, -1, phi)
|
||||
key_cracked = (n, e, d, p, q, phi, str(keyName + "-cracked"))
|
||||
return key_cracked
|
||||
else:
|
||||
pass
|
||||
else:
|
||||
pass
|
||||
|
||||
|
||||
def crackKey2(keyName):
|
||||
print("in crack")
|
||||
key = readKeyFile(keyName)
|
||||
n = key[N]
|
||||
print("n: ", n)
|
||||
bits = int(n.bit_length() / 2)
|
||||
print("bits: ", bits)
|
||||
while True:
|
||||
number = int.from_bytes(os.urandom(int(bits / 8)), byteOrder)
|
||||
if number == 0 or number == 1:
|
||||
continue
|
||||
print("Trying prime: ", number, end="\r")
|
||||
# if number devides n then it p or q
|
||||
if n % number == 0:
|
||||
print("\nFound a factor")
|
||||
p = number
|
||||
print("p: ", p)
|
||||
q = int(n / p)
|
||||
phi = (p - 1) * (q - 1)
|
||||
if phi == 0:
|
||||
continue
|
||||
e = 65537
|
||||
d = pow(e, -1, phi)
|
||||
key_cracked = (n, e, d, p, q, phi, str(keyName + "-cracked"))
|
||||
print(key_cracked)
|
||||
return key_cracked
|
||||
else:
|
||||
continue
|
||||
|
||||
|
||||
def printHelp():
|
||||
print("commands:")
|
||||
print("rsa gen <keysize> <keyname>")
|
||||
print("rsa encrypt <message> <key> <signer>")
|
||||
print('rsa decrypt "<cipher>" <key>')
|
||||
print("rsa export <key>")
|
||||
print("rsa crack <key>")
|
||||
print("rsa print <key>")
|
||||
print("rsa list")
|
||||
|
||||
|
||||
def backTrack(x):
|
||||
# Back track and clear terminal with length of x
|
||||
length = len(str(x))
|
||||
while length > 0:
|
||||
print("\b", end="")
|
||||
length -= 1
|
||||
|
||||
|
||||
def keyExist(keyName):
|
||||
exist = os.path.exists(keysFolder + keyName)
|
||||
return exist
|
||||
|
||||
|
||||
def int_base_n_from_str(st: str, base):
|
||||
try:
|
||||
base = int(base)
|
||||
except ValueError as e:
|
||||
print(
|
||||
f"Value {sys.argv[2]} is not a valid base (2, 8, 10, 16)", file=sys.stderr
|
||||
)
|
||||
exit(-1)
|
||||
try:
|
||||
number = int(st, base)
|
||||
except ValueError as e:
|
||||
print(
|
||||
f"Value {sys.argv[3]} is not valid for as a base {base} number",
|
||||
file=sys.stderr,
|
||||
)
|
||||
exit(-1)
|
||||
return number
|
||||
|
||||
|
||||
if __name__ == "__main__":
|
||||
|
Loading…
Reference in New Issue
Block a user