Chaos-based designing of a highly nonlinear S-box using boolean functions

Ramzi Guesmi, Mohamed Amine Ben Farah, Abdennaceur Kachouri, Mounir Samet

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

5 Citations (Scopus)

Abstract

In this manuscript we present a novel method to design a strong substitution box having important cryptographic properties. Our method is based on chaos and take into account that an S-box can be viewed as a set of Boolean functions. Therefore, we will take advantage of the different characteristics of chaotic functions to generate random Boolean functions with high nonlinearity. Using these Boolean functions, we can create a highly nonlinear S-box. Afterwards, the proposed methodology is analyzed and tested for the following criteria: bijective property, nonlinearity, strict avalanche criterion, output bits independence criterion and equiprobable input/output XOR distribution. Numerical simulation and security analysis demonstrate that the proposed S-box has important cryptographic properties.

Original languageEnglish
Title of host publication12th International Multi-Conference on Systems, Signals and Devices, SSD 2015
Number of pages5
ISBN (Electronic)9781479917587
DOIs
Publication statusPublished - 4 Dec 2015
Event12th International Multi-Conference on Systems, Signals and Devices, SSD 2015 - Mahdia, Tunisia
Duration: 16 Mar 201519 Mar 2015

Publication series

Name12th International Multi-Conference on Systems, Signals and Devices, SSD 2015

Conference

Conference12th International Multi-Conference on Systems, Signals and Devices, SSD 2015
CountryTunisia
CityMahdia
Period16/03/1519/03/15

Keywords

  • boolean function
  • chaos
  • cryptography
  • nonlinearity
  • S-Box

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