Abstract

In this paper we propose the construction of an efficient cryptographic system, based on the combination of the ElGamal Elliptic Curve Algorithm and Low Density Parity Check (LDPC) codes for wireless communication systems. In this paper we develop algorithms to construct efficient elliptic curves over binary finite field for combination with LDPC codes. A list of the suitable elliptic curves, time to construction elliptic curves and data transmission performance studies are carried out.