Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography

Digital one-dimensional chaotic maps are becoming increasingly popular in the area of cryptography due to their commonalities and their simple structures. However, these maps have well-known drawbacks which contribute negatively towards the security of the cryptographic algorithms that utilize th...

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Main Author:	Alawida, Moatsum Khalif Oduh
Format:	Thesis
Language:	English
Published:	2020
Subjects:	QA75.5-76.95 Electronic computers Computer science
Online Access:	http://eprints.usm.my/54015/1/My_thesis_Final.pdf
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id	my-usm-ep.54015
record_format	uketd_dc
spelling	my-usm-ep.540152022-08-12T02:01:19Z Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography 2020-03 Alawida, Moatsum Khalif Oduh QA75.5-76.95 Electronic computers. Computer science Digital one-dimensional chaotic maps are becoming increasingly popular in the area of cryptography due to their commonalities and their simple structures. However, these maps have well-known drawbacks which contribute negatively towards the security of the cryptographic algorithms that utilize them. Thus, enhancing digital one-dimensional chaotic maps in terms of their chaoticity and statistical properties will contribute towards the improvement of chaos-based cryptography. Many chaotification methods have been recently proposed to address these issues. However, most of these methods are dependent on an external entropy source to enhance the characteristics of one-dimensional chaotic maps. In this study, four novel chaotification methods are proposed to address these issues without the need of external entropy sources. The first method hybridizes deterministic finite state automata with one-dimensional chaotic maps under control the existing chaotification methods. The aim of this method is to weaken dynamical degradation issue through prolonging cycle length. To increase chaotic complexity and enlarge chaotic parameter range, the second method is proposed based on modifying chaotic state values by reversing the order of their fractional bits. To take advantage of the first two proposed methods, the third method is proposed based on a one-dimensional chaotic map and deterministic finite state machine under the control of bitwise permutations. The fourth method is introduced based on cascade and combination methods as a simple framework to enlarge the chaotic parameter range and to enhance chaotic performance. 2020-03 Thesis http://eprints.usm.my/54015/ http://eprints.usm.my/54015/1/My_thesis_Final.pdf application/pdf en public phd doctoral Perpustakaan Hamzah Sendut Pusat Pengajian Sains Komputer
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA75.5-76.95 Electronic computers Computer science
spellingShingle	QA75.5-76.95 Electronic computers Computer science Alawida, Moatsum Khalif Oduh Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
description	Digital one-dimensional chaotic maps are becoming increasingly popular in the area of cryptography due to their commonalities and their simple structures. However, these maps have well-known drawbacks which contribute negatively towards the security of the cryptographic algorithms that utilize them. Thus, enhancing digital one-dimensional chaotic maps in terms of their chaoticity and statistical properties will contribute towards the improvement of chaos-based cryptography. Many chaotification methods have been recently proposed to address these issues. However, most of these methods are dependent on an external entropy source to enhance the characteristics of one-dimensional chaotic maps. In this study, four novel chaotification methods are proposed to address these issues without the need of external entropy sources. The first method hybridizes deterministic finite state automata with one-dimensional chaotic maps under control the existing chaotification methods. The aim of this method is to weaken dynamical degradation issue through prolonging cycle length. To increase chaotic complexity and enlarge chaotic parameter range, the second method is proposed based on modifying chaotic state values by reversing the order of their fractional bits. To take advantage of the first two proposed methods, the third method is proposed based on a one-dimensional chaotic map and deterministic finite state machine under the control of bitwise permutations. The fourth method is introduced based on cascade and combination methods as a simple framework to enlarge the chaotic parameter range and to enhance chaotic performance.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Alawida, Moatsum Khalif Oduh
author_facet	Alawida, Moatsum Khalif Oduh
author_sort	Alawida, Moatsum Khalif Oduh
title	Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
title_short	Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
title_full	Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
title_fullStr	Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
title_full_unstemmed	Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography
title_sort	chaotification methods for enhancing one-dimension digital chaotic maps for applications in cryptography
granting_institution	Perpustakaan Hamzah Sendut
granting_department	Pusat Pengajian Sains Komputer
publishDate	2020
url	http://eprints.usm.my/54015/1/My_thesis_Final.pdf
_version_	1747822271337070592

Chaotification Methods For Enhancing One-Dimension Digital Chaotic Maps For Applications In Cryptography

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