中国物理B ›› 2026, Vol. 35 ›› Issue (5): 50502-050502.doi: 10.1088/1674-1056/ae0bff

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Color image encryption algorithm using a new four-dimensional hyperchaotic system

Bo Lin(林博)1, Min Liu(刘敏)2, and Guodong Ye(叶国栋)1,†   

  1. 1 Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China;
    2 School of Management, Guangdong Ocean University, Zhanjiang 524088, China
  • 收稿日期:2025-07-23 修回日期:2025-09-10 接受日期:2025-09-26 发布日期:2026-05-07
  • 通讯作者: Guodong Ye E-mail:guodongye@hotmail.com
  • 基金资助:
    The authors would like to thank the Editor and all Reviewers for all help on this manuscript. Project supported in part by the Guangdong Basic and Applied Basics Research Foundation (Grant No. 2026A1515011617), the Special Project in Key Area of General University in Guangdong Province of China (Grant No. 2020ZDZX3064), and the Innovation Team Project of General University in Guangdong Province of China (Grant No. 2024KCXTD042).

Color image encryption algorithm using a new four-dimensional hyperchaotic system

Bo Lin(林博)1, Min Liu(刘敏)2, and Guodong Ye(叶国栋)1,†   

  1. 1 Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China;
    2 School of Management, Guangdong Ocean University, Zhanjiang 524088, China
  • Received:2025-07-23 Revised:2025-09-10 Accepted:2025-09-26 Published:2026-05-07
  • Contact: Guodong Ye E-mail:guodongye@hotmail.com
  • Supported by:
    The authors would like to thank the Editor and all Reviewers for all help on this manuscript. Project supported in part by the Guangdong Basic and Applied Basics Research Foundation (Grant No. 2026A1515011617), the Special Project in Key Area of General University in Guangdong Province of China (Grant No. 2020ZDZX3064), and the Innovation Team Project of General University in Guangdong Province of China (Grant No. 2024KCXTD042).

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摘要： With the widespread applications of digital images in fields such as medical imaging, remote sensing, and financial transactions, ensuring image confidentiality has become increasingly important. However, some existing image encryption schemes still suffer from limited key space and insufficient security. To address these, this paper proposes a novel color image encryption algorithm (CIEA-4DALHS) based on a newly constructed four-dimensional augmented Lü hyperchaotic system (4DALHS). The scheme integrates bidirectional spiral cross scrambling with arbitrary starting points and four traversal modes, bit-plane substitution for fine-grained pixel modification, and hierarchical regional segmentation diffusion with cross-channel cascading effects. These strategies significantly enhance both permutation and diffusion effects. Experimental results and security analysis demonstrate the superiority of CIEA-4DALHS. For example, the key space is sufficiently large, high ciphertext information entropy, and strong robustness against statistical and differential attacks. Compared with recent methods, the proposed scheme CIEA-4DALHS offers both high efficiency and security, highlighting its strong potential for real-world applications in image protection.

关键词: image encryption, hyperchaotic system, bit-plane substitution, dynamic analysis, security analysis

Abstract: With the widespread applications of digital images in fields such as medical imaging, remote sensing, and financial transactions, ensuring image confidentiality has become increasingly important. However, some existing image encryption schemes still suffer from limited key space and insufficient security. To address these, this paper proposes a novel color image encryption algorithm (CIEA-4DALHS) based on a newly constructed four-dimensional augmented Lü hyperchaotic system (4DALHS). The scheme integrates bidirectional spiral cross scrambling with arbitrary starting points and four traversal modes, bit-plane substitution for fine-grained pixel modification, and hierarchical regional segmentation diffusion with cross-channel cascading effects. These strategies significantly enhance both permutation and diffusion effects. Experimental results and security analysis demonstrate the superiority of CIEA-4DALHS. For example, the key space is sufficiently large, high ciphertext information entropy, and strong robustness against statistical and differential attacks. Compared with recent methods, the proposed scheme CIEA-4DALHS offers both high efficiency and security, highlighting its strong potential for real-world applications in image protection.

Key words: image encryption, hyperchaotic system, bit-plane substitution, dynamic analysis, security analysis

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Gg (Control of chaos, applications of chaos)