中国物理B ›› 2024, Vol. 33 ›› Issue (7): 70502-070502.doi: 10.1088/1674-1056/ad3efa

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A color image encryption scheme based on a 2D coupled chaotic system and diagonal scrambling algorithm

Jingming Su(苏静明)1, Shihui Fang(方士辉)1,†, Yan Hong(洪炎)1, and Yan Wen(温言)2,‡   

  1. 1 Anhui Mining Machinery and Electrical Equipment Coordination Innovation Center, Anhui University of Science and Technology, Huainan 232001, China;
    2 School of Computer Science and Information Engineering, Hefei University of Technology, Hefei 230009, China
  • 收稿日期:2024-03-15 修回日期:2024-04-07 接受日期:2024-04-16 出版日期:2024-06-18 发布日期:2024-06-18
  • 通讯作者: Shihui Fang, Yan Wen E-mail:fsh@aust.edu.cn;wenyan@hainanu.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), and the Anhui Province Digital Agricultural Engineering Technology Research Center Open Project (Grant No. AHSZNYGC-ZXKF021).

A color image encryption scheme based on a 2D coupled chaotic system and diagonal scrambling algorithm

Jingming Su(苏静明)1, Shihui Fang(方士辉)1,†, Yan Hong(洪炎)1, and Yan Wen(温言)2,‡   

  1. 1 Anhui Mining Machinery and Electrical Equipment Coordination Innovation Center, Anhui University of Science and Technology, Huainan 232001, China;
    2 School of Computer Science and Information Engineering, Hefei University of Technology, Hefei 230009, China
  • Received:2024-03-15 Revised:2024-04-07 Accepted:2024-04-16 Online:2024-06-18 Published:2024-06-18
  • Contact: Shihui Fang, Yan Wen E-mail:fsh@aust.edu.cn;wenyan@hainanu.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), and the Anhui Province Digital Agricultural Engineering Technology Research Center Open Project (Grant No. AHSZNYGC-ZXKF021).

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摘要： A novel color image encryption scheme is developed to enhance the security of encryption without increasing the complexity. Firstly, the plain color image is decomposed into three grayscale plain images, which are converted into the frequency domain coefficient matrices (FDCM) with discrete cosine transform (DCT) operation. After that, a two-dimensional (2D) coupled chaotic system is developed and used to generate one group of embedded matrices and another group of encryption matrices, respectively. The embedded matrices are integrated with the FDCM to fulfill the frequency domain encryption, and then the inverse DCT processing is implemented to recover the spatial domain signal. Eventually, under the function of the encryption matrices and the proposed diagonal scrambling algorithm, the final color ciphertext is obtained. The experimental results show that the proposed method can not only ensure efficient encryption but also satisfy various sizes of image encryption. Besides, it has better performance than other similar techniques in statistical feature analysis, such as key space, key sensitivity, anti-differential attack, information entropy, noise attack, etc.

关键词: color image encryption, discrete cosine transform, two-dimensional (2D) coupled chaotic system, diagonal scrambling

Abstract: A novel color image encryption scheme is developed to enhance the security of encryption without increasing the complexity. Firstly, the plain color image is decomposed into three grayscale plain images, which are converted into the frequency domain coefficient matrices (FDCM) with discrete cosine transform (DCT) operation. After that, a two-dimensional (2D) coupled chaotic system is developed and used to generate one group of embedded matrices and another group of encryption matrices, respectively. The embedded matrices are integrated with the FDCM to fulfill the frequency domain encryption, and then the inverse DCT processing is implemented to recover the spatial domain signal. Eventually, under the function of the encryption matrices and the proposed diagonal scrambling algorithm, the final color ciphertext is obtained. The experimental results show that the proposed method can not only ensure efficient encryption but also satisfy various sizes of image encryption. Besides, it has better performance than other similar techniques in statistical feature analysis, such as key space, key sensitivity, anti-differential attack, information entropy, noise attack, etc.

Key words: color image encryption, discrete cosine transform, two-dimensional (2D) coupled chaotic system, diagonal scrambling

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

  • 05.45.Gg
94.05.-a (Space plasma physics) 07.05.Pj (Image processing)