Design of a Substitution Box using a Novel Chaotic Map and Permutation

Abstract

Information security plays a vital role in the security of data, because data is the most important asset for any organization. So, the first and foremost importance in the functioning of any organization, is the security of its data.To secure data, cryptographic techniques play a vital role in securing data. For that thing, chaos plays a vital role in cryptography. For producing chaos, we have implemented a chaotic map, in which we have implemented linear equation along with exponential equation based on conditions, which integrates chaos in the plain text which makes it less open to crypt-analysis. To make a chaotic map, more robust, it must have some properties, which include High non-linearity, SAC values must be nearer to 0.5 and and it should also satisfy the property of Linear probability, Differential uniformity and BIC value that is Bit Independence Criterion. Moreover the values, we achieved in our S-Box were proved to be competitively better from many S-Boxes which have been designed by now.