Chaotic S-box: intertwining logistic map and bacterial foraging optimization
type: Item
instance of: scholarly article
title: Chaotic S-box: intertwining logistic map and bacterial foraging optimization
zbMATH Open document ID: 1426.94127
DOI: 10.1155/2017/6969312
author: Yanyan Li
published in: Mathematical Problems in Engineering
publication date: 2018-11-05T00:00:00Z
review text: Summary: As the unique nonlinear component of block ciphers, Substitution box (S-box) directly affects the safety of a cryptographic system. It is important and difficult to design strong S-box that simultaneously meets multiple cryptographic criteria such as bijection, nonlinearity, strict avalanche criterion (SAC), bit independence criterion (BIC), differential probability (DP), and linear probability (LP). Though many chaotic S-boxes have been proposed, the cryptographic performance of most of them needs to be further improved. A new chaotic S-box based on the intertwining logistic map and bacterial foraging optimization is designed in this paper. It firstly iterates the intertwining logistic map to construct many S-boxes and then applies a bacterial foraging optimization algorithm to find the optimal S-box. Moreover, bacterial foraging optimization algorithm considers the nonlinearity and differential uniformity as the fitness functions in the optimization process. We experiment that the proposed S-box can effectively resist multiple types of cryptanalysis attacks.
Mathematics Subject Classification ID: 94A60
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N35
zbMATH DE Number: 6972407
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/6969312
OpenAlex ID: W2768240224
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description: scientific article; zbMATH DE number 6972407