  Cryptography is the study of techniques for ensuring the secrecy and
authentication of the information. Public-key encryption schemes are secure
only if the authenticity of the public-key is assured. Elliptic curve
arithmetic can be used to develop a variety of elliptic curve cryptography
(ECC) schemes including key exchange, encryption and digital signature. The
principal attraction of elliptic curve cryptography compared to RSA is that it
offers equal security for a smaller key-size, thereby reducing the processing
overhead. In the present paper we propose a new encryption algorithm using some
Elliptic Curve over finite fields
