A Novel Eighth-Order Hyperchaotic System and Its Application in Image Encryption

Hanshuo Qiu, Xiangzi Zhang, Huaixiao Yue and Jizhao Liu ()
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Hanshuo Qiu: School of Information Science and Engineering, Lanzhou University, No.222, TianShui Road(south), Lanzhou 730000, China
Xiangzi Zhang: School of Psychology, Northwest Normal University, No.967 Anning East Road, Lanzhou 730000, China
Huaixiao Yue: School of Computer Science, Nanjing University of Posts and Telecommunications, No.66 New Model Road, Nanjing 210003, China
Jizhao Liu: School of Information Science and Engineering, Lanzhou University, No.222, TianShui Road(south), Lanzhou 730000, China

Mathematics, 2023, vol. 11, issue 19, 1-29

Abstract: With the advancement in information and communication technologies (ICTs), the widespread dissemination and sharing of digital images has raised concerns regarding privacy and security. Traditional methods of encrypting images often suffer from limitations such as a small key space and vulnerability to brute-force attacks. To address these issues, this paper proposes a novel eighth-order hyperchaotic system. This hyperchaotic system exhibits various dynamic behaviors, including hyperchaos, sub-hyperchaos, and chaos. The encryption scheme based on this system offers a key space larger than 2 2338 . Through a comprehensive analysis involving histogram analysis, key space analysis, correlation analysis, entropy analysis, key sensitivity analysis, differential attack analysis, and cropping attack analysis, it is demonstrated that the proposed system is capable of resisting statistical attacks, brute force attacks, differential attacks, and cropping attacks, thereby providing excellent security performance.

Keywords: chaos; hyperchaos; image encryption; information security; symmetric encryption (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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