54 lines
799 B
Python
54 lines
799 B
Python
from Crypto.Util.number import *
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from secret import *
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assert (x>2 and x%2 == 0)
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assert (isPrime(e1) and isPrime(e2))
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def functor():
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val1 , val2 = 0,0
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for i in range(x+1):
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val1 += pow(e1,i)
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for j in range(3):
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val2 += pow(e2,j)
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assert (val1 == val2)
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def keygen():
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while True:
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p,q = [getStrongPrime(1024) for _ in range(2)]
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if p%4==3 and q%4==3:
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break
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r = 2
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while True:
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r = r*x
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if r.bit_length()>1024 and isPrime(r-1):
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r = r-1
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break
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return p,q,r
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functor()
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p,q,r = keygen()
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n = p*q*r
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print(f"p:{p}")
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print(f"q:{q}")
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ip = inverse(p,q)
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iq = inverse(q,p)
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c1 = pow(bytes_to_long(flag[0:len(flag)//2].encode('utf-8')),e1,n)
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c2 = pow(bytes_to_long(flag[len(flag)//2:].encode('utf-8')),e2,n)
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print(f"n:{n}",f"ip:{ip}",f"iq:{iq}",f"c1:{c1}",f"c2:{c2}",sep="\n")
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