Z. Naturforsch. 68a, 567 – 572 (2013)
Substitution Box on Maximal Cyclic Subgroup of Units of a Galois Ring
Tariq Shah, Attiq Qamar, and Iqtadar Hussain
Department of Mathematics, Quaid-i-Azam University, Islamabad, Pakistan
Received October 26, 2012 / revised February 21, 2013 / published online July 17, 2013
Reprint requests to: I. H.; E-mail: iqtadar.hussain@nu.edu.pk
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.
Key words: S-Box; Watermarking; Galois Field; Galois Ring; Maximal Cyclic Subgroup.
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