Fast Mapping Method based on Matrix Approach For Elliptic Curve Cryptography

Abstract

A new mapping method of the alphanumeric characters on to the x-y coordinate of the elliptic curve defined over a finite field Fp is provided. This paper attemps to utilize the properties of invertible matrices and elliptic curve to generate an algorithm that will guarantee the confidentiality of messages. The results points are encrypted by using elliptic curve encryption technique.The proposed method is efficient in its principale and has great potentiel to be applied to others situations where the exchange of messages is done confidentially. Finally, the use of matrices and their algebraic properties will provide better performance in this regard.