Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm

This paper introduces a novel color image encryption algorithm based on a five-dimensional continuous memristor hyperchaotic system (5D-MHS), combined with a two-dimensional Salomon map and an optimized Arnold transform. Firstly, convert the test image to a 2D pixel matrix then processed in blocks,...

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Main Authors: Zhenju Wang, Cong Wang, Ping Ma, Yue Meng, Hongli Zhang
Format: Article
Language:English
Published: Tsinghua University Press 2025-06-01
Series:Complex System Modeling and Simulation
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Online Access:https://www.sciopen.com/article/10.23919/CSMS.2024.0028
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author Zhenju Wang
Cong Wang
Ping Ma
Yue Meng
Hongli Zhang
author_facet Zhenju Wang
Cong Wang
Ping Ma
Yue Meng
Hongli Zhang
author_sort Zhenju Wang
collection DOAJ
description This paper introduces a novel color image encryption algorithm based on a five-dimensional continuous memristor hyperchaotic system (5D-MHS), combined with a two-dimensional Salomon map and an optimized Arnold transform. Firstly, convert the test image to a 2D pixel matrix then processed in blocks, and each block of the pixel matrix is permuted with chaotic sequences generated by 5D-MHS and 2D Salomon map. Then, the permuted image is permuted for three rounds with the optimized Arnold algorithm. Finally, one of the chaotic sequences generated by 5D-MHS is employed to diffuse the permuted image to obtain the final ciphertext image. In this paper, several pseudo-random sequences are generated and mixed in the permutation stage to achieve higher security. The algorithm achieves a key space of 2472, the information entropy of the ciphertext image for the color image is 7.9998, number of pixels change rate (NPCR) and unified average changing intensity (UACI) reached 99.6131% and 33.4361%, respectively, and the correlation between pixels is close to 0. The simulation results show that the encryption algorithm is efficient and the key system is secure.
format Article
id doaj-art-90b89c2eba2d45a3bb62766c71819607
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issn 2096-9929
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publishDate 2025-06-01
publisher Tsinghua University Press
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series Complex System Modeling and Simulation
spelling doaj-art-90b89c2eba2d45a3bb62766c718196072025-08-20T03:05:42ZengTsinghua University PressComplex System Modeling and Simulation2096-99292097-37052025-06-015213815410.23919/CSMS.2024.0028Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold AlgorithmZhenju Wang0Cong Wang1Ping Ma2Yue Meng3Hongli Zhang4School of Electrical Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Electrical Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Electrical Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Electrical Engineering, Xinjiang University, Urumqi 830017, ChinaSchool of Electrical Engineering, Xinjiang University, Urumqi 830017, ChinaThis paper introduces a novel color image encryption algorithm based on a five-dimensional continuous memristor hyperchaotic system (5D-MHS), combined with a two-dimensional Salomon map and an optimized Arnold transform. Firstly, convert the test image to a 2D pixel matrix then processed in blocks, and each block of the pixel matrix is permuted with chaotic sequences generated by 5D-MHS and 2D Salomon map. Then, the permuted image is permuted for three rounds with the optimized Arnold algorithm. Finally, one of the chaotic sequences generated by 5D-MHS is employed to diffuse the permuted image to obtain the final ciphertext image. In this paper, several pseudo-random sequences are generated and mixed in the permutation stage to achieve higher security. The algorithm achieves a key space of 2472, the information entropy of the ciphertext image for the color image is 7.9998, number of pixels change rate (NPCR) and unified average changing intensity (UACI) reached 99.6131% and 33.4361%, respectively, and the correlation between pixels is close to 0. The simulation results show that the encryption algorithm is efficient and the key system is secure.https://www.sciopen.com/article/10.23919/CSMS.2024.0028image encryptionhyperchaotic systemoptimized arnold algorithmsecurity
spellingShingle Zhenju Wang
Cong Wang
Ping Ma
Yue Meng
Hongli Zhang
Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
Complex System Modeling and Simulation
image encryption
hyperchaotic system
optimized arnold algorithm
security
title Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
title_full Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
title_fullStr Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
title_full_unstemmed Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
title_short Color Image Encryption Based on Five-Dimensional Continuous Hyperchaotic System and Optimized Arnold Algorithm
title_sort color image encryption based on five dimensional continuous hyperchaotic system and optimized arnold algorithm
topic image encryption
hyperchaotic system
optimized arnold algorithm
security
url https://www.sciopen.com/article/10.23919/CSMS.2024.0028
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AT pingma colorimageencryptionbasedonfivedimensionalcontinuoushyperchaoticsystemandoptimizedarnoldalgorithm
AT yuemeng colorimageencryptionbasedonfivedimensionalcontinuoushyperchaoticsystemandoptimizedarnoldalgorithm
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