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Frsa
1. import random
from random import randrange, getrandbits
from math import log10
from time import time
from functools import reduce
from itertools import repeat
# FRSA
# By: KHAN FARHAN RAFAT
# This code is provided as it is. No implicit and explicit obligations
# Use @ your own RISK
# Credits: Author
# The RSA result (output) is transposed using a key that can be made dynamic :)
# Contacts: ubiquitousorpervasive@gmail.com
def mInverse(p, q):
def xgcd(xP, yP):
#Extended Euclidean Algorithm
seed1, seed0 = 0, 1
t1, t0 = 1, 0
while yP:
q = xP // yP
xP, yP = yP, xP % yP
seed1, seed0 = seed0 - q * seed1, seed1
t1, t0 = t0 - q * t1, t1
return xP, seed0, t0
sP, tP = xgcd(p, q)[0:2]
assert sP == 1
2. if tP < 0:
tP += q
return tP
def genPrime(nP):
def isPrime(nP, t=7):
def ifComposite(aP):
if pow(aP, dP, nP) == 1:
return False
for i in range(s):
if pow(aP, 2 ** i * dP, nP) == nP - 1:
return False
return True
assert nP > 0
if nP < 3:
return [False, False, True][nP]
elif not nP & 1:
return False
else:
s, dP = 0, nP - 1
while not dP & 1:
s += 1
dP >>= 1
for _ in repeat(None, t):
if ifComposite(randrange(2, n)):
3. return False
return True
p = getrandbits(n)
while not isPrime(p):
p = getrandbits(n)
return p
# https://crypto.stackexchange.com/questions/3110/impacts-of-not-using-rsa-exponent-of-65537
def genRSA(p, q):
phie, n = (p - 1) * (q - 1), p * q
if n < 65537:
return (3, mInverse(3, phie), n)
else:
return (65537, mInverse(65537, phie), n)
def t2i(text):
return reduce(lambda x, y: (x << 8) + y, map(ord, text))
def i2t(number, size):
text = "".join([chr((number >> j) & 0xff)
for j in reversed(range(0, size << 3, 8))])
return text.lstrip("x00")