Improvement of Menezes-Vanstone Elliptic Curve Cryptosystem Based on Quadratic Bézier Curve Technique

Abstract

Cryptography is one of the most important applications and widely used in our life especially in the information security that needed by many government institutions, banks, communications and others to keep data over internet and other transportations that it is ensure safety of transfers between the sender and the recipient. The most important system in cryptography is public key cryptography and the mostly used is the elliptic curves cryptosystem, because of it is very efficient and secure and difficult to solve the discrete logarithm problem and find the secret key. In this study a new method is introduced using the Menezes-Vanstone Elliptic Curve Cryptosystem (MVECC) for data based on quadratic Bézier curve techniques. The purpose of this proposal is to increase the security of this cryptosystem. We will apply this proposed method to all measurements of National Institute of Standards and Technology (NIST) tests and running time and compared it with the original method.