Application of Chaotic Functions for Construction of Strong Substitution Boxes

In cryptography, the security of any algorithm relies on the strength of the key used and nonlinear mapping of the original information or data. It is desirable to have resistance against differential cryptanalysis, which assists in providing clues about the composition of keys, and linear secret system, where a simple approximation is created to copy the original cipher characteristics. The objective of the proposed work is to make the existing cipher techniques more prone to cryptanalysis by incorporating the proposed S-box in the design. In this paper, the use of nonlinear functional chaos-based substitution process is proposed which employs a set of differential equations called Lorenz equations with given initial parameters. The performance of the new substitution box is evaluated through simulation and data analytics tool. During testing, it has been found that the proposed technique produces high Standard Deviation (112.84) and negative correlation factor (-0.161) which makes it applicable where security against cryptanalysis is a major concern.