A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps

In this paper, a method to enhance the dynamic characteristics of one-dimension (1D) chaotic maps is first presented. Linear combinations and nonlinear transform based on existing chaotic systems (LNECS) are introduced. Then, a numerical chaotic map (LCLS), based on Logistic map and Sine map, is giv...

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Main Authors: Wenhao Yan, Qun Ding
Format: Article
Language:English
Published: MDPI AG 2021-05-01
Series:Electronics
Subjects:
chaotic system
cryptography
S-box
sample entropy (SE)
Online Access:https://www.mdpi.com/2079-9292/10/11/1313
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spelling doaj-0f18f66135de43c4ab9293d167c1d4d22021-06-01T01:41:13ZengMDPI AGElectronics2079-92922021-05-01101313131310.3390/electronics10111313A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic MapsWenhao Yan0Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaIn this paper, a method to enhance the dynamic characteristics of one-dimension (1D) chaotic maps is first presented. Linear combinations and nonlinear transform based on existing chaotic systems (LNECS) are introduced. Then, a numerical chaotic map (LCLS), based on Logistic map and Sine map, is given. Through the analysis of a bifurcation diagram, Lyapunov exponent (LE), and Sample entropy (SE), we can see that CLS has overcome the shortcomings of a low-dimensional chaotic system and can be used in the field of cryptology. In addition, the construction of eight functions is designed to obtain an S-box. Finally, five security criteria of the S-box are shown, which indicate the S-box based on the proposed in this paper has strong encryption characteristics. The research of this paper is helpful for the development of cryptography study such as dynamic construction methods based on chaotic systems.https://www.mdpi.com/2079-9292/10/11/1313chaotic systemcryptographyS-boxsample entropy (SE)
collection DOAJ
language English
format Article
sources DOAJ
author Wenhao Yan
Qun Ding
spellingShingle Wenhao Yan
Qun Ding
A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
Electronics
chaotic system
cryptography
S-box
sample entropy (SE)
author_facet Wenhao Yan
Qun Ding
author_sort Wenhao Yan
title A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
title_short A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
title_full A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
title_fullStr A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
title_full_unstemmed A Novel S-Box Dynamic Design Based on Nonlinear-Transform of 1D Chaotic Maps
title_sort novel s-box dynamic design based on nonlinear-transform of 1d chaotic maps
publisher MDPI AG
series Electronics
issn 2079-9292
publishDate 2021-05-01
description In this paper, a method to enhance the dynamic characteristics of one-dimension (1D) chaotic maps is first presented. Linear combinations and nonlinear transform based on existing chaotic systems (LNECS) are introduced. Then, a numerical chaotic map (LCLS), based on Logistic map and Sine map, is given. Through the analysis of a bifurcation diagram, Lyapunov exponent (LE), and Sample entropy (SE), we can see that CLS has overcome the shortcomings of a low-dimensional chaotic system and can be used in the field of cryptology. In addition, the construction of eight functions is designed to obtain an S-box. Finally, five security criteria of the S-box are shown, which indicate the S-box based on the proposed in this paper has strong encryption characteristics. The research of this paper is helpful for the development of cryptography study such as dynamic construction methods based on chaotic systems.
topic chaotic system
cryptography
S-box
sample entropy (SE)
url https://www.mdpi.com/2079-9292/10/11/1313
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