Abstract

The aim of this paper is to show a new concatenation a family of hyperelliptic curves and a Low Density Parity Check code (LDPC) to produce an improvement of the ElGamal algorithm. This concatenation allows the construction of very strong a one-way function, key exchange, data encryption, reliable data transmission, reduced complexity of the algorithm on a Rayleigh fading channel. Also, the security level is studied and compared with other cryptosystems. Finally, the system performance is compared with the LDPC code over Rayleigh Fading channel with BPSK modulation and against the Rayleigh Fading channel with BPSK modulation.