中国物理B ›› 2023, Vol. 32 ›› Issue (3): 30501-030501.doi: 10.1088/1674-1056/ac8cdf

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A color image encryption algorithm based on hyperchaotic map and DNA mutation

Xinyu Gao(高昕瑜)1, Bo Sun(孙博)1,†, Yinghong Cao(曹颖鸿)1,‡, Santo Banerjee2, and Jun Mou(牟俊)1,§   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • 收稿日期:2022-05-24 修回日期:2022-07-25 接受日期:2022-08-26 出版日期:2023-02-14 发布日期:2023-02-14
  • 通讯作者: Bo Sun, Jun Mou E-mail:sunbo-0709@126.com;caoyinghong@dlpu.edu.cn;moujun@csu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 62061014), the Provincial Natural Science Foundation of Liaoning (Grant No. 2020-MS-274), the Basic Scientific Research Projects of Colleges and Universities of Liaoning Province, China (Grant No. LJKZ0545).

A color image encryption algorithm based on hyperchaotic map and DNA mutation

Xinyu Gao(高昕瑜)1, Bo Sun(孙博)1,†, Yinghong Cao(曹颖鸿)1,‡, Santo Banerjee2, and Jun Mou(牟俊)1,§   

  1. 1 School of Information Science and Engineering, Dalian Polytechnic University, Dalian 116034, China;
    2 Department of Mathematical Sciences, Giuseppe Luigi Lagrange, Politecnico di Torino, Corso Duca degli Abruzzi 24, Torino, Italy
  • Received:2022-05-24 Revised:2022-07-25 Accepted:2022-08-26 Online:2023-02-14 Published:2023-02-14
  • Contact: Bo Sun, Jun Mou E-mail:sunbo-0709@126.com;caoyinghong@dlpu.edu.cn;moujun@csu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 62061014), the Provincial Natural Science Foundation of Liaoning (Grant No. 2020-MS-274), the Basic Scientific Research Projects of Colleges and Universities of Liaoning Province, China (Grant No. LJKZ0545).

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摘要： We devise a color image encryption scheme via combining hyperchaotic map, cross-plane operation and gene theory. First, the hyperchaotic map used in the encryption scheme is analyzed and studied. On the basis of the dynamics of hyperchaotic map, a color image encryption scheme is designed. At the end of the encryption process, a DNA mutation operation is used to increase the encoding images' randomness and to improve the encryption algorithm's security. Finally, simulation experiments, performance analysis, and attack tests are performed to prove the effectiveness and security of the designed algorithm. This work provides the possibility of applying chaos theory and gene theory in image encryption.

关键词: color image encryption, hyperchaotic map, cross-plane permutation, DNA mutation

Abstract: We devise a color image encryption scheme via combining hyperchaotic map, cross-plane operation and gene theory. First, the hyperchaotic map used in the encryption scheme is analyzed and studied. On the basis of the dynamics of hyperchaotic map, a color image encryption scheme is designed. At the end of the encryption process, a DNA mutation operation is used to increase the encoding images' randomness and to improve the encryption algorithm's security. Finally, simulation experiments, performance analysis, and attack tests are performed to prove the effectiveness and security of the designed algorithm. This work provides the possibility of applying chaos theory and gene theory in image encryption.

Key words: color image encryption, hyperchaotic map, cross-plane permutation, DNA mutation

中图分类号:  (Nonlinear dynamics and chaos)

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