Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method

Classical two-dimensional chaotic systems are not safe enough due to few control parameters and limited chaotic range. To cope with this problem, a new wide-range 2D-Logistic-Sine hyperchaotic map (2D-LSHM) is proposed in this paper. By analyzing the bifurcation map and Lyapunov exponent of 2D-LSHM,...

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Main Authors: Dongyao Zou, Tengda Pei, Guangyong Xi, Liping Wang
Format: Article
Language:English
Published: IEEE 2023-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/10237281/
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author Dongyao Zou
Tengda Pei
Guangyong Xi
Liping Wang
author_facet Dongyao Zou
Tengda Pei
Guangyong Xi
Liping Wang
author_sort Dongyao Zou
collection DOAJ
description Classical two-dimensional chaotic systems are not safe enough due to few control parameters and limited chaotic range. To cope with this problem, a new wide-range 2D-Logistic-Sine hyperchaotic map (2D-LSHM) is proposed in this paper. By analyzing the bifurcation map and Lyapunov exponent of 2D-LSHM, the results prove that the map has good ergodicity and unpredictability. In addition, this paper proposes a 2D-LSHM-based image encryption scheme, LSHM-IES, to solve the problem that the dislocation diffusion algorithm based on specific rules is vulnerable to attacks. The scheme uses a <inline-formula> <tex-math notation="LaTeX">$3\times 3$ </tex-math></inline-formula> convolutional kernel to replace the pixel values in the dislocation process. An improved Zigzag transform is developed in the diffusion phase to make the algorithm more secure and the key space larger. Experimental results from a variety of performance tests on different images indicate that the LSHM-IES encryption scheme possesses favorable encryption performance, low time cost, and high robustness against data missing attacks and noise effects.
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spelling doaj.art-424221b6a605412ba2d1123f131ae3572023-09-11T23:02:15ZengIEEEIEEE Access2169-35362023-01-0111953969540910.1109/ACCESS.2023.331103810237281Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion MethodDongyao Zou0https://orcid.org/0000-0003-1025-5974Tengda Pei1Guangyong Xi2Liping Wang3School of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaSchool of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaSchool of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaSchool of Computer and Communication Engineering, Zhengzhou University of Light Industry, Zhengzhou, ChinaClassical two-dimensional chaotic systems are not safe enough due to few control parameters and limited chaotic range. To cope with this problem, a new wide-range 2D-Logistic-Sine hyperchaotic map (2D-LSHM) is proposed in this paper. By analyzing the bifurcation map and Lyapunov exponent of 2D-LSHM, the results prove that the map has good ergodicity and unpredictability. In addition, this paper proposes a 2D-LSHM-based image encryption scheme, LSHM-IES, to solve the problem that the dislocation diffusion algorithm based on specific rules is vulnerable to attacks. The scheme uses a <inline-formula> <tex-math notation="LaTeX">$3\times 3$ </tex-math></inline-formula> convolutional kernel to replace the pixel values in the dislocation process. An improved Zigzag transform is developed in the diffusion phase to make the algorithm more secure and the key space larger. Experimental results from a variety of performance tests on different images indicate that the LSHM-IES encryption scheme possesses favorable encryption performance, low time cost, and high robustness against data missing attacks and noise effects.https://ieeexplore.ieee.org/document/10237281/Chaotic systemsimage securityimage encryptionsecurity evaluation
spellingShingle Dongyao Zou
Tengda Pei
Guangyong Xi
Liping Wang
Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
IEEE Access
Chaotic systems
image security
image encryption
security evaluation
title Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
title_full Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
title_fullStr Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
title_full_unstemmed Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
title_short Image Encryption Based on Hyperchaotic System and Improved Zigzag Diffusion Method
title_sort image encryption based on hyperchaotic system and improved zigzag diffusion method
topic Chaotic systems
image security
image encryption
security evaluation
url https://ieeexplore.ieee.org/document/10237281/
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AT guangyongxi imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod
AT lipingwang imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod