攻防世界 Crypto进阶简单的rsa

最新推荐文章于 2025-05-16 23:22:31 发布

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最新推荐文章于 2025-05-16 23:22:31 发布 · 4.1k 阅读

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1、题目

#! /usr/bin/env python
# -*- coding: utf-8 -*-

from Crypto.Util.number import getPrime, long_to_bytes, bytes_to_long, isPrime, getRandomNBitInteger
from libnum import invmod

def destory(x, num):
	while True:
		dt = getRandomNBitInteger(num)
		r = x ^ dt
		if isPrime(r):
			return r

flag = "xxxxxxx"
flag = bytes_to_long(flag)

p = getPrime(2048)
q = getPrime(2048)
n = p*q
e = 0x10001
phi_n = (p-1)*(q-1)
d = invmod(e, phi_n)
print "n: ", hex(n)
print "e: ", hex(e)
print "d: ", hex(d)
print "Destory q, p"
new_p = destory(p, 900)
new_q = destory(q, 900)

new_n = new_p * new_q
print "new n: ", hex(new_n)
c = pow(flag, e, new_n)
print "enc_flag: ", hex(c)

'''
n:  0x73cec712124b33c0294e01eb52e8c3cd2fe9ddbcbf457b3b950360063dfae42cbbe9855bd986bcfea0948fadfb252f5e2ff3c982ff47afb6596a496636f1fc5ecfe9f5db7620b23fe9e30d230aa9299ab9a7