Those that I fight I do not hate,
Those that I guard I do not love.

Full poem

Crypto codes: GGH public key cryptosystem

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I only did the decryption part, using Babai's algorithm (for homework :D)

Crypto codes: Elliptic ElGamal

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Crypto codes:Miller Rabin Primality test

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Output: (exercise 3.14 in the Introduction of Mathematical Cryptography)

1105 is composite with witness 2
294409 is composite with witness 2
118901509 is prime
118901521 is composite with witness 2
118901527 is prime
118915387 is composite with witness 2

Crypto codes: Elliptic curve cryptography

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Code includes:
Elliptic curve addition,
Point in Elliptic curve over finite fields
double-and-add algorithm for Elliptic curves

Output:

Points in E(F13) are :
(-Infinity,-Infinity)
(1.0,5.0)
(1.0,8.0)
(2.0,3.0)
(2.0,10.0)
(9.0,6.0)
(9.0,7.0)
(12.0,2.0)
(12.0,11.0)
Addition test->
(9.0,7.0) + (1.0,8.0) =(2.0,10.0)
double-and-add algorithm for elliptic curve->
947*(6.0,730.0) mod 3623= (3492.0,60.0)