A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping

Low-dimensional chaotic mappings are simple functions that have low computation cost and are easy to realize, but applying them in a cryptographic algorithm will lead to security vulnerabilities. To overcome this shortcoming, this paper proposes the coupled chaotic system, which coupled the piecewis...

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Main Authors: Chunyuan Liu, Qun Ding
Format: Article
Language:English
Published: Wiley 2020-01-01
Series:Complexity
Online Access:http://dx.doi.org/10.1155/2020/3837209
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author Chunyuan Liu
Qun Ding
author_facet Chunyuan Liu
Qun Ding
author_sort Chunyuan Liu
collection DOAJ
description Low-dimensional chaotic mappings are simple functions that have low computation cost and are easy to realize, but applying them in a cryptographic algorithm will lead to security vulnerabilities. To overcome this shortcoming, this paper proposes the coupled chaotic system, which coupled the piecewise and Henon mapping. Simulation results indicate that the novel mapping has better complexity and initial sensitivity and larger key space compared with the original mapping. Then, a new color image encryption algorithm is proposed based on the new chaotic mapping. The algorithm has two processes: diffusion and confusion. In this scheme, the key is more than 2216, and SSIM and PSNR are 0.009675 and 8.6767, respectively. The secret key is applied in the shuffling and diffusion. Security analysis indicates that the proposed scheme can resist cryptanalytic attacks. It has superior performance and has high security.
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issn 1076-2787
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language English
publishDate 2020-01-01
publisher Wiley
record_format Article
series Complexity
spelling doaj-art-3ddd32bba9a8419ea7ddb3a3dff64d822025-08-20T02:07:48ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/38372093837209A Color Image Encryption Scheme Based on a Novel 3D Chaotic MappingChunyuan Liu0Qun Ding1Electronic Engineering College, Heilongjiang University, Harbin 150080, ChinaElectronic Engineering College, Heilongjiang University, Harbin 150080, ChinaLow-dimensional chaotic mappings are simple functions that have low computation cost and are easy to realize, but applying them in a cryptographic algorithm will lead to security vulnerabilities. To overcome this shortcoming, this paper proposes the coupled chaotic system, which coupled the piecewise and Henon mapping. Simulation results indicate that the novel mapping has better complexity and initial sensitivity and larger key space compared with the original mapping. Then, a new color image encryption algorithm is proposed based on the new chaotic mapping. The algorithm has two processes: diffusion and confusion. In this scheme, the key is more than 2216, and SSIM and PSNR are 0.009675 and 8.6767, respectively. The secret key is applied in the shuffling and diffusion. Security analysis indicates that the proposed scheme can resist cryptanalytic attacks. It has superior performance and has high security.http://dx.doi.org/10.1155/2020/3837209
spellingShingle Chunyuan Liu
Qun Ding
A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
Complexity
title A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
title_full A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
title_fullStr A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
title_full_unstemmed A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
title_short A Color Image Encryption Scheme Based on a Novel 3D Chaotic Mapping
title_sort color image encryption scheme based on a novel 3d chaotic mapping
url http://dx.doi.org/10.1155/2020/3837209
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AT qunding acolorimageencryptionschemebasedonanovel3dchaoticmapping
AT chunyuanliu colorimageencryptionschemebasedonanovel3dchaoticmapping
AT qunding colorimageencryptionschemebasedonanovel3dchaoticmapping