Substitution box on maximal cyclic subgroup of units of a galois ring

Abstract

In this paper, we construct a new substitution box (S-box) structure based on the elements of the maximal cyclic subgroup of the multiplicative group of units in a finite Galois ring instead of Galois field. We analyze the potency of the proposed S-box by using the majority logic criterion. Moreover, we illustrate the utility of the projected S-box in watermarking. © 2013 Verlag der Zeitschrift f̈ur Naturforschung.