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There are several public key cryptography, such as RSA and El-Gamal and Elliptic curve cryptography. Elliptic Curve Cryptography (ECC) is considered more suitable than other public key cryptography algorithms because of its small key size. ECC is chosen in this work because of its advantages over other public key cryptography. Generally, to produce private keys and elliptic curve cryptography domain parameters, a random generator is used.