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

Author:

Qiu Hanshuo1ORCID,Zhang Xiangzi2,Yue Huaixiao3,Liu Jizhao1

Affiliation:

1. School of Information Science and Engineering, Lanzhou University, No.222, TianShui Road(south), Lanzhou 730000, China

2. School of Psychology, Northwest Normal University, No.967 Anning East Road, Lanzhou 730000, China

3. School of Computer Science, Nanjing University of Posts and Telecommunications, No.66 New Model Road, Nanjing 210003, China

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 22338. 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.

Funder

Regional Project of the National Natural Science Foundation of China

Gansu Provincial Science and Technology Department Youth Fund Project

Gansu Higher Education Innovation Fund Project

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

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