Novel cryptosystem based on Bezier curve using GF(pm)

Public key cryptosystem or the asymmetric crypto system is more secure than secret key method because of a pair of related keys used by both sender and receiver. The problem in most of the cryptosystem is that the plain text is considered as an integer number that leads poor security. In this paper we propose an efficient Bezier curve based public key cryptography technique over Galois field GF(p^m), where p=2,3,5,7. Here the plaint text is considered as a (x, y) coordinate over curve elements.