Abstract
Message encryption is a process of protection of the original data in transmission. Several cryptosystems were designed in the history for different environments. Public key or Asymmetric cryptosystem has become more popular in recent era where the key space consists both public and private keys. Elliptic curve cryptography dominates public key cryptosystems like Diffie Hellman key exchange and RSA. ECC is more powerful and alternative technique of RSA, with a simple replacement of exponent calculations of large prime numbers to mathematical representation of Elliptic curve points. Besides the computation ECC works with shorter key length than RSA. The present paper describes an encryption algorithm using elliptic curves over finite fields. Here a group of authentic users transmit.
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