An Efficient Cryptosystem based on the Logistic-Chebyshev Map

Abstract

We utilise the Logistic-Chebyshev map as a cascade discrete-time chaotic system to design a new form of a cryptosystem. Based on the Logistic-Chebyshev map, we present a novel method for constructing substitution boxes or S-boxes. The performance of the proposed S-box scheme is investigated. Our results shows that the constructed S-box has significant qualities for viable applications in security related domains. Additionally, we utilise a new pseudo-random number generator (PRNG) scheme for the purpose of generating keystreams for further encryption. We utilise this technique to demonstrate how a PRNG based chaotic system can be utilsied for image encryption. Our simulation results and analysis show that the proposed scheme has efficient performance for cryptographic based image processing applications.