Substitution Box on Maximal Cyclic Subgroup of Units of a Galois Ring

Tariq Shah; Attiq Qamar; Iqtadar Hussain

doi:10.5560/zna.2013-0021

Publicly Available Published by De Gruyter June 2, 2014

Substitution Box on Maximal Cyclic Subgroup of Units of a Galois Ring

Tariq Shah , Attiq Qamar and Iqtadar Hussain

From the journal Zeitschrift für Naturforschung A

https://doi.org/10.5560/zna.2013-0021

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.

Keywords: S-Box; Watermarking; Galois Field; Galois Ring; Maximal Cyclic Subgroup.

Received: 2012-10-26

Revised: 2013-2-21

Published Online: 2014-6-2

Published in Print: 2013-9-1

Substitution Box on Maximal Cyclic Subgroup of Units of a Galois Ring

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