Compare commits

...

51 Commits
V1.0 ... master

Author SHA1 Message Date
2ae7d09c25
rsa: print help if not args given
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2024-01-19 16:15:18 +03:00
a58f9b9337
rsa: black formatting, ignore idea files
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2024-01-19 15:58:15 +03:00
8c7bc52d9a
Fix error in prime_factors:
- Used number instead of num
	when the remaining value is a factor

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2022-10-19 19:56:57 +03:00
8f00e6a45a
Added prime_factors command
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2022-10-19 19:48:34 +03:00
b034158d2f
Added commands: genrand, genprime
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2022-10-19 18:23:01 +03:00
ec2bbf116b
Improved output:
- Print tested numbers as lines instead of
	using \r.
	- List command add more space for key name

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2022-10-19 18:08:35 +03:00
6d9e071aa4
Added is_prime command
- Usage: rsa <is_prime|is_prime_mr> <base> <N>

	Print if N is prime or not using traditainl method and
	Miller-Rabin method.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2022-10-19 18:04:44 +03:00
522e9f3453 Update cp right to 2021 2021-01-30 13:03:57 +03:00
5277984fdb Ignore venv dir 2021-01-30 13:00:48 +03:00
781cde431d
Copy right headers 2020-12-12 02:26:02 +03:00
75547aca2b
Merge branch 'master' of https://github.com/HeshamTB/hesham-rsa 2020-12-12 02:16:21 +03:00
HeshamTB
701ce1609d
Merge pull request #1 from HeshamTB/add-license-1
Create LICENSE
2020-12-12 02:17:29 +03:00
HeshamTB
68d613e4b5
Create LICENSE 2020-12-12 02:13:06 +03:00
9372246034 Update 'README.md' 2020-10-17 11:03:39 +03:00
4e41eb87f1
README typo 2020-09-10 09:54:53 +03:00
4d1d683d26 Update 'README.md' 2020-09-06 11:32:58 +03:00
b97b6b14f4 Merge pull request 'Block overwrite' (#6) from key-overwrite into master
Reviewed-on: https://apollo-server.ddns.net/gitea/Hesham/hesham-rsa/pulls/6
2020-09-06 09:06:28 +03:00
a864749812
key-overwrite: prompt overwrite choice. 2020-09-06 08:51:54 +03:00
825d8eb647
Block overwrite 2020-09-06 08:07:15 +03:00
f5eef6a226 Merge pull request 'term-output' (#4) from term-output into master
Reviewed-on: https://apollo-server.ddns.net/gitea/Hesham/hesham-rsa/pulls/4
2020-09-06 07:50:24 +03:00
66560b5f26
Merge branch 'master' into term-output 2020-09-06 07:42:01 +03:00
261ce0fdb4
version 1.2.2 2020-09-06 07:27:47 +03:00
b4e61d0a77
Updated interface 2020-09-06 07:26:49 +03:00
735b3bd71b
+x file mode 2020-09-06 06:17:52 +03:00
a36de9cf67
Better output while finding primes:
use \b instead of \r with the count of digits of tested number.
	still outputs a mess at start due to multithreads output at same time,
	however, stable after first itiration.
2020-09-06 06:13:19 +03:00
ea5a9195be
Check number of args in 'gen' command interface 2020-09-06 06:09:12 +03:00
d51a42589c
Use sys.exit() instead of exit():
exit() cuases stack trace output from pyinstaller exe.
	It is also recommended to use sys.exit() in prodcution.

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-08-28 19:02:08 +03:00
b7597320fd
Ignore pyinstaller files 2020-08-28 18:53:22 +03:00
c059a7dccd
version 1.2.1
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-08-28 17:52:18 +03:00
7ae3e4dc04
Improved and accurate signature output
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-08-28 17:47:48 +03:00
c121314eb9 Update 'README.md' 2020-08-28 02:47:01 +03:00
45584d378e Update 'README.md' 2020-07-10 07:27:37 +03:00
18cf5b3059 Add 'README.md' 2020-07-10 07:25:20 +03:00
30069c3d2b
Print message for unknown sig.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-21 23:53:04 +03:00
9738da7dca
Merge branch 'master' of https://apollo-server.ddns.net/gitea/Hesham/hesham-rsa 2020-04-21 07:41:53 +03:00
bdb2fa7780
base-16 representation for all.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-21 07:40:31 +03:00
c351efa716
Print out n, e, d after key gen. 2020-04-20 21:20:34 +03:00
a474683f5e
Octet String to integer and integer to octet string.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-20 20:16:49 +03:00
f854c46dd2
update TODO 2020-04-20 02:49:48 +03:00
321fb3ec01
Added help command 2020-04-20 00:19:09 +03:00
23b421ee1f
print key command.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-19 20:26:05 +03:00
e086a2cdcc
Cracking keys function:
- Given n and e, try factoring n and
	generate d if p or q is found.
	works well with 16-bit to 64-bit keys.
	larger keys take vary long which is
	good.

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-19 20:24:57 +03:00
bfdbca50e7
Simple Cracking. Vary inefficient.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-19 16:25:45 +03:00
e5a66e4d29
Cleanup:
- Interface exit codes
	- Clean up
2020-04-19 15:45:51 +03:00
611a6c45ea
Added Miller Rabin's algorithm:
- Now can generate a 4096-bit key in seconds.
	However, a longer key makes the cipher way too
	long. Should make a padding or an encoding to
	reduce the cipher size with big keys.

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-18 22:49:06 +03:00
06793f5fb7
Updated list command output. 2020-04-18 17:53:12 +03:00
0d6bf9228d
Update TODO 2020-04-18 17:28:55 +03:00
8d2b822999
Fixed list output.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-18 17:18:58 +03:00
0cb6d56236
Added export key.
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-18 15:23:06 +03:00
45c1abd0fa
Fixed output of listKeys().
Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-18 14:12:46 +03:00
bfc572386e
Improved interface:
- Catch wrong number of args.
	- Logic was not correct.
	- Print command template.

Signed-off-by: HeshamTB <hishaminv@gmail.com>
2020-04-18 14:12:01 +03:00
9 changed files with 824 additions and 114 deletions

10
.gitignore vendored
View File

@ -1,3 +1,13 @@
__pycache__/
keys/
test-file
#pyinstaller files
dist/
build/
*.spec
#venv dir
venv/
.idea/

339
LICENSE Normal file
View 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
View 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
View 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
View 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
View File

@ -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
View File

View File

@ -1,4 +1,6 @@
#!/usr/bin/python3
# Copyright (C) 2019-2021 Hesham T. Banafa
s = 'test message hello awdawd'
print(s)
@ -37,4 +39,15 @@ sig_enc = en.encrypt(sig,(n,e))
print(sig_enc)
sig_un = en.decrypt(sig_enc,d,n)
print(sig_un)
print(key)
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)

482
rsa.py
View File

@ -1,7 +1,9 @@
#!/usr/bin/python3
#program to generate rsa key pair using methods in EE-305
# Hesham Banafa
# Copyright (C) 2019-2021 Hesham T. Banafa
# program to generate rsa key pair using methods in EE-305
# Hesham Banafa
"""
Large Prime check: https://www.alpertron.com.ar/ECM.HTM
@ -13,138 +15,230 @@ 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]
key = generateKeys(keyFileName, int(sys.argv[2]))
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>
msg = sys.argv[2]
msg_list = msg.split()
keyName = sys.argv[3]
signing_key_name = sys.argv[4]
key = readKeyFile(keyName)
signing_key = readKeyFile(signing_key_name)
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)
print("Encrypted msg: \n", msg_encrypted)
print("Signed: \n", sign(msg_encrypted, signing_key))
if sys.argv[1] == "decrypt": ##rsa decrypt <cipher> <key>
cipher = sys.argv[2]
cipher_list = cipher.split()
sig = verify(cipher_list)
del cipher_list[-1]
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)
print("Decrypted message: \n", msg_decrypted)
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]
signing_key_name = sys.argv[4]
key = readKeyFile(keyName)
signing_key = readKeyFile(signing_key_name)
key_public = (key[N], key[E])
msg_encrypted = ""
for word in msg_list:
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)
) ## 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)
del cipher_list[-1]
msg_decrypted = ""
key = readKeyFile(sys.argv[3])
for cipher_word in cipher_list:
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
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_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
@ -153,84 +247,254 @@ 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),
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()))
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()),
)
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__":
main()
main()