Use python to implement rsa algorithm code and pythonrsa algorithm code

Use python to implement rsa algorithm code and pythonrsa algorithm code

RSA is an asymmetric encryption algorithm. It is a widely used public key encryption algorithm. It is mainly used to encrypt information and digital signatures.

The RSA algorithm provided by Wikipedia is described as follows:

Assume that Alice wants to receive Bob's private message through an unreliable media. She can generate a public key and a private key in the following ways:

Select two large prime numbers p and q at will. p is not equal to q and N = pq is calculated.

According to the Euler's function, the number of integers that are not greater than N and intersect with N is (1) (q-1)

Select an integer e and (1) (q-1), and e is less than (1) (q-1)

Use the formula below to calculate d: d × e limit 1 (mod (p-1) (q-1 ))

Destroy records of p and q.

(N, e) is the public key, (N, d) is the private key. (N, d) is a secret. Alice transmits her public key (N, e) to Bob and hides her private key (N, d.

#!/usr/bin/env python def range_prime(start, end): l = list() for i in range(start, end+1): flag = True for j in range(2, i): if i % j == 0: flag = False break if flag: l.append(i) return l def generate_keys(p, q): #numbers = (11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47) numbers =range_prime(10, 100) N = p * q C = (p-1) * (q-1) e = 0 for n in numbers: if n < C and C % n > 0: e = n break if e==0: raise StandardError("e not found") d = 0 for n in range(2, C): if(e * n) % C == 1: d = n break if d==0: raise StandardError("d not found") return ((N, e), (N, d)) def encrypt(m, key): C, x = key return (m ** x) % C decrypt = encrypt if __name__ == '__main__': pub, pri = generate_keys(47, 79) L = range(20, 30) C = map(lambda x: encrypt(x, pub), L) D = map(lambda x: decrypt(x, pri), C) print "keys:", pub, pri print "message:", L print "encrypt:", C print "decrypt:", D keys: (3713, 11) (3713, 1631) message: [20, 21, 22, 23, 24, 25, 26, 27, 28, 29] encrypt: [406, 3622, 3168, 134, 3532, 263, 1313, 2743, 2603, 1025] decrypt: [20L, 21L, 22L, 23L, 24L, 25L, 26L, 27L, 28L, 29L] 

The above section describes how to use python to implement the rsa algorithm code. I hope it will help you!

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