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Cryptography 2019, 3(1), 6; https://doi.org/10.3390/cryptography3010006

A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes

Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan
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Received: 16 December 2018 / Revised: 3 January 2019 / Accepted: 9 January 2019 / Published: 16 January 2019
(This article belongs to the Section Hardware Security)
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Abstract

The role of substitution boxes is very important in block ciphers. Substitution boxes are utilized to create confusion in the cryptosystem. However, to create both confusion and diffusion in any cryptosystem p-boxes and chaos base substitution boxes are designed. In this work, a simple method is presented that serves both ways. This method is based on composition of the action of symmetric group on Galois field and inversion map. This construction method provides a large number of highly non-linear substitution permutation boxes having the property of confusion as well as diffusion. These substitution permutation boxes have all the cryptography properties. Their utilization in the image encryption application is measured by majority logic criterion. We named these newly designed substitution boxes (S-boxes) as substitution permutation boxes (S-p-boxes), because they serve as both substitution boxes (S-boxes) as well as permutation boxes (p-boxes). View Full-Text
Keywords: S-p-box; S-box; Symmetric group; Galois field S-p-box; S-box; Symmetric group; Galois field
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Naseer, Y.; Shah, T.; Shah, D.; Hussain, S. A Novel Algorithm of Constructing Highly Nonlinear S-p-boxes. Cryptography 2019, 3, 6.

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