Secure image encryption based on an ideal new nonlinear discrete dynamical system

It is well known that encryption algorithms developed based on Logistic map suffer from limited key space due to the narrow regions of system parameters which can be used, potential risk of security in the presence of numerous periodic windows within the key space, and weakness in known-plain-text a...

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Main Authors: Lin, M. Rongming, Ng, Teng Yong
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2018
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Online Access:https://hdl.handle.net/10356/85101
http://hdl.handle.net/10220/45088
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-851012023-03-04T17:14:27Z Secure image encryption based on an ideal new nonlinear discrete dynamical system Lin, M. Rongming Ng, Teng Yong School of Mechanical and Aerospace Engineering Discrete Dynamical System Image Encryption It is well known that encryption algorithms developed based on Logistic map suffer from limited key space due to the narrow regions of system parameters which can be used, potential risk of security in the presence of numerous periodic windows within the key space, and weakness in known-plain-text attack due to the inherent correlation among the chaotic sequence used for encryption. To overcome these existing problems, this paper presents a secure image encryption algorithm based on a new highly nonlinear discrete dynamical system with ideal chaotic characteristics. Transcendental functions are introduced together with modulo operations which physically represent discontinuous time-varying nonlinearities, leading to extremely complex chaotic behavior that is highly sensitive to system parameters and initial conditions, both of which are considered as the key for the cryptosystem. Extensive numerical experiment results have revealed that the proposed image encryption algorithm offers advantages of unlimited key space and high-level security, since those problematic periodic windows are no longer present within the key space, and it is extremely robust against known-plain-text attack, since the chaotic sequence generated bears no correlation whatsoever due to the folding effect of modulo operation. The algorithm makes truly efficient yet highly secure image encryption based on chaotic systems a reality. Published version 2018-07-17T01:44:10Z 2019-12-06T15:57:04Z 2018-07-17T01:44:10Z 2019-12-06T15:57:04Z 2018 Journal Article Lin, M. R., & Ng, T. Y. (2018). Secure Image Encryption Based on an Ideal New Nonlinear Discrete Dynamical System. Mathematical Problems in Engineering, 2018, 6797386-. 1024-123X https://hdl.handle.net/10356/85101 http://hdl.handle.net/10220/45088 10.1155/2018/6797386 en Mathematical Problems in Engineering © 2018 R. M. Lin and T.Y.Ng. 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. 12 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Discrete Dynamical System
Image Encryption
spellingShingle Discrete Dynamical System
Image Encryption
Lin, M. Rongming
Ng, Teng Yong
Secure image encryption based on an ideal new nonlinear discrete dynamical system
description It is well known that encryption algorithms developed based on Logistic map suffer from limited key space due to the narrow regions of system parameters which can be used, potential risk of security in the presence of numerous periodic windows within the key space, and weakness in known-plain-text attack due to the inherent correlation among the chaotic sequence used for encryption. To overcome these existing problems, this paper presents a secure image encryption algorithm based on a new highly nonlinear discrete dynamical system with ideal chaotic characteristics. Transcendental functions are introduced together with modulo operations which physically represent discontinuous time-varying nonlinearities, leading to extremely complex chaotic behavior that is highly sensitive to system parameters and initial conditions, both of which are considered as the key for the cryptosystem. Extensive numerical experiment results have revealed that the proposed image encryption algorithm offers advantages of unlimited key space and high-level security, since those problematic periodic windows are no longer present within the key space, and it is extremely robust against known-plain-text attack, since the chaotic sequence generated bears no correlation whatsoever due to the folding effect of modulo operation. The algorithm makes truly efficient yet highly secure image encryption based on chaotic systems a reality.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Lin, M. Rongming
Ng, Teng Yong
format Article
author Lin, M. Rongming
Ng, Teng Yong
author_sort Lin, M. Rongming
title Secure image encryption based on an ideal new nonlinear discrete dynamical system
title_short Secure image encryption based on an ideal new nonlinear discrete dynamical system
title_full Secure image encryption based on an ideal new nonlinear discrete dynamical system
title_fullStr Secure image encryption based on an ideal new nonlinear discrete dynamical system
title_full_unstemmed Secure image encryption based on an ideal new nonlinear discrete dynamical system
title_sort secure image encryption based on an ideal new nonlinear discrete dynamical system
publishDate 2018
url https://hdl.handle.net/10356/85101
http://hdl.handle.net/10220/45088
_version_ 1759858240183599104