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March 30, 2016 15:04
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Modular Inverse for RSA in python
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#!/usr/bin/env python3 | |
p = 61 | |
q = 53 | |
n = p*q | |
phi = (p-1)*(q-1) | |
# Took from SO | |
def egcd(a, b): | |
if a == 0: | |
return (b, 0, 1) | |
g, y, x = egcd(b%a,a) | |
return (g, x - (b//a) * y, y) | |
def modinv(a, m): | |
g, x, y = egcd(a, m) | |
if g != 1: | |
raise Exception('No modular inverse') | |
return x%m | |
e = 17 | |
d = modinv(e, phi) | |
print('P =', p) | |
print('Q =', q) | |
print('N =', n) | |
print('Phi =', phi) | |
print('E =', e) | |
print('D =', d) | |
print('(E*D)%Phi =', (e*d)%phi) |
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Struggled with the "d" this makes it so simple.