中国物理B ›› 2025, Vol. 34 ›› Issue (4): 40504-040504.doi: 10.1088/1674-1056/adacc7

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A novel approach to visual image encryption: 2D hyperchaos, variable Josephus, and 3D diffusion

Yan Hong(洪炎), Xinyan Duan(段心妍)†, Jingming Su(苏静明), Zhaopan Wang(王昭盼), and Shihui Fang(方士辉)‡   

  1. School of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, China
  • 收稿日期:2024-11-27 修回日期:2025-01-08 接受日期:2025-01-22 出版日期:2025-04-15 发布日期:2025-04-15
  • 通讯作者: Xinyan Duan, Shihui Fang E-mail:2024200889@aust.edu.cn;fsh@aust.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62105004 and 52174141), the College Student Innovation and Entrepreneurship Fund Project (Grant No. 202210361053), Anhui Mining Machinery and Electrical Equipment Coordination Innovation Center, Anhui University of Science & Technology (Grant No. KSJD202304), the Anhui Province Digital Agricultural Engineering Technology Research Center Open Project (Grant No. AHSZNYGC-ZXKF021), the Talent Recruitment Special Fund of Anhui University of Science and Technology (Grant No. 2024yjrc175), the Graduate Innovation Fund Project of Anhui University of Science and Technology (Grant Nos. 2024cx2067, 2024cx2107, and 2024cx2064), and Seed Support Project for Postgraduate Innovation, Entrepreneurship and Practice at Anhui University of Science and Technology (Grant No. 2024cxcysj084).

A novel approach to visual image encryption: 2D hyperchaos, variable Josephus, and 3D diffusion

Yan Hong(洪炎), Xinyan Duan(段心妍)†, Jingming Su(苏静明), Zhaopan Wang(王昭盼), and Shihui Fang(方士辉)‡   

  1. School of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, China
  • Received:2024-11-27 Revised:2025-01-08 Accepted:2025-01-22 Online:2025-04-15 Published:2025-04-15
  • Contact: Xinyan Duan, Shihui Fang E-mail:2024200889@aust.edu.cn;fsh@aust.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 62105004 and 52174141), the College Student Innovation and Entrepreneurship Fund Project (Grant No. 202210361053), Anhui Mining Machinery and Electrical Equipment Coordination Innovation Center, Anhui University of Science & Technology (Grant No. KSJD202304), the Anhui Province Digital Agricultural Engineering Technology Research Center Open Project (Grant No. AHSZNYGC-ZXKF021), the Talent Recruitment Special Fund of Anhui University of Science and Technology (Grant No. 2024yjrc175), the Graduate Innovation Fund Project of Anhui University of Science and Technology (Grant Nos. 2024cx2067, 2024cx2107, and 2024cx2064), and Seed Support Project for Postgraduate Innovation, Entrepreneurship and Practice at Anhui University of Science and Technology (Grant No. 2024cxcysj084).

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摘要： With the development of the Internet, image encryption technology has become critical for network security. Traditional methods often suffer from issues such as insufficient chaos, low randomness in key generation, and poor encryption efficiency. To enhance performance, this paper proposes a new encryption algorithm designed to optimize parallel processing and adapt to images of varying sizes and colors. The method begins by using SHA-384 to extract the hash value of the plaintext image, which is then processed to determine the chaotic system's initial value and block size. The image is padded and divided into blocks for further processing. A novel two-dimensional infinite collapses hyperchaotic map (2D-ICHM) is employed to generate the intra-block scrambling sequence, while an improved variable Joseph traversal sequence is used for inter-block scrambling. After removing the padding, 3D forward and backward shift diffusions, controlled by the 2D-ICHM sequences, are applied to the scrambled image, producing the ciphertext. Simulation results demonstrate that the proposed algorithm outperforms others in terms of entropy, anti-noise resilience, correlation coefficient, robustness, and encryption efficiency.

关键词: SHA-384, two-dimensional infinite collapses hyperchaotic map (2D-ICHM), variable Joseph traversal, 3D forward shift diffusion

Abstract: With the development of the Internet, image encryption technology has become critical for network security. Traditional methods often suffer from issues such as insufficient chaos, low randomness in key generation, and poor encryption efficiency. To enhance performance, this paper proposes a new encryption algorithm designed to optimize parallel processing and adapt to images of varying sizes and colors. The method begins by using SHA-384 to extract the hash value of the plaintext image, which is then processed to determine the chaotic system's initial value and block size. The image is padded and divided into blocks for further processing. A novel two-dimensional infinite collapses hyperchaotic map (2D-ICHM) is employed to generate the intra-block scrambling sequence, while an improved variable Joseph traversal sequence is used for inter-block scrambling. After removing the padding, 3D forward and backward shift diffusions, controlled by the 2D-ICHM sequences, are applied to the scrambled image, producing the ciphertext. Simulation results demonstrate that the proposed algorithm outperforms others in terms of entropy, anti-noise resilience, correlation coefficient, robustness, and encryption efficiency.

Key words: SHA-384, two-dimensional infinite collapses hyperchaotic map (2D-ICHM), variable Joseph traversal, 3D forward shift diffusion

中图分类号:  (Control of chaos, applications of chaos)

  • 05.45.Gg
07.05.Pj (Image processing) 05.45.-a (Nonlinear dynamics and chaos) 42.68.Sq (Image transmission and formation)