A heuristic approach for secured transfer of image based on Bezier curve over Galois field GF (pm)

In Public key cryptosystem a pair of related keys is used by the sender and the receiver. In either the public key or secret key cryptosystem the plain text is considered as an integer number that leads to poor security. In this paper we propose an Quartic Bezier curve based public key cryptosystem over Galois field GF(n^m). The plain text is considered as a (x, y) coordinate over the Bezier curve elements. These values are then encrypted and decrypted using the proposed algorithm. For a secured transmission of image, the pixels are concealed in the curve elements. These are encrypted and decrypted using the proposed algorithm.