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Hesham:EE494-extenstions
Hesham:key-overwrite
Hesham:term-output
Hesham:V1.2.2
Hesham:file-sys
Hesham:V1.2.1
Hesham:octer-strings
Hesham:V1.2
Hesham:V1.1
Hesham:V1.0
Hesham:V0.1
Hesham:1.2.2
Hesham:1.2.1
Hesham:1.2
Hesham:1.1
Hesham:1.0
Hesham:0.1
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compare: Hesham:term-output
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Hesham:master
Hesham:EE494-extenstions
Hesham:key-overwrite
Hesham:term-output
Hesham:V1.2.2
Hesham:file-sys
Hesham:V1.2.1
Hesham:octer-strings
Hesham:V1.2
Hesham:V1.1
Hesham:V1.0
Hesham:V0.1
Hesham:1.2.2
Hesham:1.2.1
Hesham:1.2
Hesham:1.1
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.gitignore vendored
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@ -6,8 +6,3 @@ test-file
dist/
build/
*.spec
#venv dir
venv/
.idea/

339
LICENSE
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@ -1,339 +0,0 @@
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Version 2, June 1991
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3
MillerRabin.py
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@ -1,6 +1,3 @@
# 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):

2
OAEP.py
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@ -1,5 +1,3 @@
# Copyright (C) 2019-2021 Hesham T. Banafa
#From: https://stackoverflow.com/questions/39964383/implementation-of-i2osp-and-os2ip
def i2osp(x, xLen):

14
README.md
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@ -5,25 +5,19 @@ A simple program written in python to implement RSA public encryption. Used as C
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]
./rsa.py
or
python rsa.py [COMMAND] [ARGS]
python rsa.py
## generating keys
to generate a key pair with and ID
./rsa.py gen [keysize] [keyID]
All generated keys are saved in {$working_dir}/saves/
./rsa.py [keysize] [keyID]
All generated keys are {working dir}/saves/ in keys folder
## 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

2
encodetest.py
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@ -1,7 +1,5 @@
#!/usr/bin/python3
# Copyright (C) 2019-2021 Hesham T. Banafa
s = 'test message hello awdawd'
print(s)
s_number = int.from_bytes(s.encode('utf-8'),'little')

327
rsa.py
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@ -1,8 +1,6 @@
#!/usr/bin/python3
# Copyright (C) 2019-2021 Hesham T. Banafa
# program to generate rsa key pair using methods in EE-305
#program to generate rsa key pair using methods in EE-305
# Hesham Banafa
"""
@ -17,37 +15,21 @@ import os
import sys
import MillerRabin as mr
VERSION = "1.2.2"
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 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])
@ -62,9 +44,7 @@ def main():
print(ex)
sys.exit(1)
sys.exit(0)
if (
sys.argv[1] == "encrypt" and len(sys.argv) == 5
): ##rsa encrypt <message> <key> <signer>
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]
@ -75,11 +55,9 @@ def main():
msg_encrypted = ""
for word in msg_list:
msg_encrypted = msg_encrypted + " " + hex(encrypt(word, key_public))
# msg_encrypted = encrypt(msg, 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.
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")
@ -93,9 +71,7 @@ def main():
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]))
)
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:
@ -104,19 +80,19 @@ def main():
sys.exit(0)
elif sys.argv[1] == "decrypt":
print("Not enough arguments")
print('rsa decrypt "<cipher>" <keyid>')
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>
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>
if sys.argv[1] == "crack" and len(sys.argv) == 3: #rsa crack <key>
keyName = sys.argv[2]
cracked_key = crackKey2(keyName)
printKey(cracked_key)
@ -124,26 +100,7 @@ def main():
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>
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":
@ -153,92 +110,87 @@ def main():
printHelp()
sys.exit(0)
# No command exit code
#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 = e^-1 mod 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("decrypt: 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="\n")
#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(x, end="")
if mr.is_prime(x):
print("\nprime: ", x, "\n")
print("\nprime: ", x)
return x
# backTrack(x)
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
@ -247,26 +199,19 @@ 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]))
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):
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
@ -275,107 +220,53 @@ def verify(cipher_list):
print("Found key: ", key_name)
sig = str(decrypt(int(encrypted_sig, 16), key[E], key[N]))
if "sig:" in 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)
return sig.replace("sig:","")
else: continue
else: return None
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):
if key[entry] != 0:
keyFile.write(hex(key[entry]) + "\n")
keyFile.write(hex(key[entry])+"\n")
else:
pass
keyFile.write(key[ID] + "\n")
keyFile.write(key[ID]+"\n")
def printKey(key):
n = key[N]
e = key[E]
d = key[D]
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----------------------------------------------",
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)
@ -389,18 +280,15 @@ def listKeys():
key = readKeyFile(keyName)
if key[D] == 0:
check = "".strip()
else:
check = "\u2713"
print("%10s%7s%7s-bit" % (key[ID].strip(), check, key[N].bit_length()))
else: check = '\u2713'
print("%7s%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")
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)
@ -411,90 +299,57 @@ def crackKey(keyName):
# if number devides n then it p or q
if n % number == 0:
p = number
q = int(n / p)
phi = (p - 1) * (q - 1)
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"))
d = pow(e,-1,phi)
key_cracked = (n, e, d, p, q, phi, str(keyName+"-cracked"))
return key_cracked
else:
pass
else:
pass
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)
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
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
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"))
d = pow(e,-1,phi)
key_cracked = (n, e, d, p, q, phi, str(keyName+"-cracked"))
print(key_cracked)
return key_cracked
else:
continue
else: continue
def printHelp():
print("commands:")
print("rsa gen <keysize> <keyname>")
print("rsa encrypt <message> <key> <signer>")
print('rsa decrypt "<cipher>" <key>')
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
#Back track and clear terminal with length of x
length = len(str(x))
while length > 0:
print("\b", end="")
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()