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,...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
IEEE
2023-01-01
|
Series: | IEEE Access |
Subjects: | |
Online Access: | https://ieeexplore.ieee.org/document/10237281/ |
_version_ | 1797688441495879680 |
---|---|
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. |
first_indexed | 2024-03-12T01:32:05Z |
format | Article |
id | doaj.art-424221b6a605412ba2d1123f131ae357 |
institution | Directory Open Access Journal |
issn | 2169-3536 |
language | English |
last_indexed | 2024-03-12T01:32:05Z |
publishDate | 2023-01-01 |
publisher | IEEE |
record_format | Article |
series | IEEE Access |
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/ |
work_keys_str_mv | AT dongyaozou imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod AT tengdapei imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod AT guangyongxi imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod AT lipingwang imageencryptionbasedonhyperchaoticsystemandimprovedzigzagdiffusionmethod |