Design of an S-box using Rabinovich-Fabrikant system of differential equations perceiving third order nonlinearity

Abstract

Chaos based cryptosystems are used to protect the vital information while communicating through different communication networks. In this article, Rabinovich-Fabrikant (RF) system of coupled ordinary differential equations perceiving third order nonlinearity generating rich chaotic and complex dynamics is utilized in cyber security. Initially, this system is used to generate random integers, then for the construction of chaotic substitution boxes these integer values are permuted for obtaining highly nonlinear chaotic Substitution box (S-box). The prime advantage of the proposed design is the construction of different cryptographically strong S-boxes, by slightly altering the initial conditions and parameters of the RF system of differential equations. An S-box constructed by utilizing this scheme is evaluated by the algebraic and statistical analyses already available in literature. The outcomes of analysis yielded promising statistics which ensure its importance in application of secure communications.