A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform

Abstract Color images are a valuable information carrier. This paper presents a novel image encryption scheme based on fractional-order conservative memristive hyperchaotic system (FCMHS) and extended Zig-Zag transform to protect images from being attacked. First, the dynamic characteristics of FCMH...

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Main Authors: Fanqi Meng, Gang Wu, Juxiao Zhang
Format: Article
Language:English
Published: Springer 2025-08-01
Series:Journal of King Saud University: Computer and Information Sciences
Subjects:
Online Access:https://doi.org/10.1007/s44443-025-00163-7
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author Fanqi Meng
Gang Wu
Juxiao Zhang
author_facet Fanqi Meng
Gang Wu
Juxiao Zhang
author_sort Fanqi Meng
collection DOAJ
description Abstract Color images are a valuable information carrier. This paper presents a novel image encryption scheme based on fractional-order conservative memristive hyperchaotic system (FCMHS) and extended Zig-Zag transform to protect images from being attacked. First, the dynamic characteristics of FCMHS were systematically studied and analyzed, and its potential application value in the field of information security is verified. The pseudo-random sequences generated by FCMHS passed all the tests of the National Institute of Standards and Technology (NIST). Second, a new extended Zig-Zag confusing method is designed, which realizes the scrambling of pixels in different channels of a color image. Finally, the performance of the designed encryption algorithm is analyzed using key space, information entropy, histogram, differential attack, correlation coefficient and robustness analysis. The average number of pixels change rate (NPCR) and uniform average change intensity (UACI) values of the encryption scheme are 99.61% and 33.46%, respectively. Additionally, the encryption time is only 0.12533 s for a color image of size $$256\times 256$$ 256 × 256 . The experimental results demonstrate that our algorithm has better encryption performance and security.
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spelling doaj-art-0a1c8d4ade6e41a4a5a262025fb0af012025-08-20T04:02:41ZengSpringerJournal of King Saud University: Computer and Information Sciences1319-15782213-12482025-08-0137611710.1007/s44443-025-00163-7A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transformFanqi Meng0Gang Wu1Juxiao Zhang2Yancheng Teachers UniversityYancheng Teachers UniversityNanjing Normal University of Special EducationAbstract Color images are a valuable information carrier. This paper presents a novel image encryption scheme based on fractional-order conservative memristive hyperchaotic system (FCMHS) and extended Zig-Zag transform to protect images from being attacked. First, the dynamic characteristics of FCMHS were systematically studied and analyzed, and its potential application value in the field of information security is verified. The pseudo-random sequences generated by FCMHS passed all the tests of the National Institute of Standards and Technology (NIST). Second, a new extended Zig-Zag confusing method is designed, which realizes the scrambling of pixels in different channels of a color image. Finally, the performance of the designed encryption algorithm is analyzed using key space, information entropy, histogram, differential attack, correlation coefficient and robustness analysis. The average number of pixels change rate (NPCR) and uniform average change intensity (UACI) values of the encryption scheme are 99.61% and 33.46%, respectively. Additionally, the encryption time is only 0.12533 s for a color image of size $$256\times 256$$ 256 × 256 . The experimental results demonstrate that our algorithm has better encryption performance and security.https://doi.org/10.1007/s44443-025-00163-7Image encryptionFractional-order conservative memristive hyperchaotic systemExtended Zig-Zag transform
spellingShingle Fanqi Meng
Gang Wu
Juxiao Zhang
A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
Journal of King Saud University: Computer and Information Sciences
Image encryption
Fractional-order conservative memristive hyperchaotic system
Extended Zig-Zag transform
title A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
title_full A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
title_fullStr A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
title_full_unstemmed A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
title_short A novel color image encryption algorithm based on fractional-order conservative memristive hyperchaotic system and extended zig-zag transform
title_sort novel color image encryption algorithm based on fractional order conservative memristive hyperchaotic system and extended zig zag transform
topic Image encryption
Fractional-order conservative memristive hyperchaotic system
Extended Zig-Zag transform
url https://doi.org/10.1007/s44443-025-00163-7
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