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Journal of Systems Engineering and Electronics ›› 2022, Vol. 33 ›› Issue (3): 534-550.doi: 10.23919/JSEE.2022.000053

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  • 收稿日期:2021-03-09 出版日期:2022-06-18 发布日期:2022-06-24

Image encryption based on a novel memristive chaotic system, Grain-128a algorithm and dynamic pixel masking

Lilian HUANG1,2(), Yi SUN1,2(), Jianhong XIANG1,2,*(), Linyu WANG1,2()   

  1. 1 College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
    2 Key Laboratory of Advanced Marine Communication and Information Technology-Ministry of Industry and Information Technology, Harbin Engineering University, Harbin 150001, China
  • Received:2021-03-09 Online:2022-06-18 Published:2022-06-24
  • Contact: Jianhong XIANG E-mail:lilian_huang@163.com;sun_yi@hrbeu.edu.cn;xiangjianhong@hrbeu.edu.cn;wanglinyu@hrbeu.edu.cn
  • About author:|HUANG Lilian was born in 1972. She received her M.E. and Ph.D. degrees in navigation, guidance and control from Harbin Institute of Technology, Harbin, China, in 2002 and 2005, respectively. She is a a professor in Harbin Engineering University. Her research interests are in the study and application of nonlinear chaotic systems. E-mail: lilian_huang@163.com||SUN Yi was born in 1994. She is currently pursuing her M.S. degree in Harbin Engineering University. Her research interests are the study of nonlinear chaotic systems and their applications in image encryption. E-mail: sun_yi@hrbeu.edu.cn||XIANG Jianhong was born in 1977. He received his M.E. and Ph.D. degrees in communication and information system from Harbin Engineering University, Harbin, China, in 2006 and 2009, respectively. He is a professor in Harbin Engineering University. His research interests are communication and signal processing, deep learning and artificial intelligence. E-mail: xiangjianhong@hrbeu.edu.cn||WANG Linyu was born in 1977. She received her M.E. and Ph.D. degrees in communication and information system from Harbin Engineering University, Harbin, China, in 2003 and 2006, respectively. She is a professor in Harbin Engineering University. Her research interests are communications and information processing. E-mail: wanglinyu@hrbeu.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (61203004), the Natural Science Foundation of Heilongjiang Province (F201220), and the Heilongjiang Provincial Natural Science Foundation of Joint Guidance Project (LH2020F022).

Abstract:

In this paper, we first propose a memristive chaotic system and implement it by circuit simulation. The chaotic dynamics and various attractors are analysed by using phase portrait, bifurcation diagram, and Lyapunov exponents. In particular, the system has robust chaos in a wide parameter range and the initial value space, which is favourable to the security communication application. Consequently, we further explore its application in image encryption and present a new scheme. Before image processing, the external key is protected by the Grain-128a algorithm and the initial values of the memristive system are updated with the plain image. We not only perform random pixel extraction and masking with the chaotic cipher, but also use them as control parameters for Brownian motion to obtain the permutation matrix. In addition, multiplication on the finite field GF(28) is added to further enhance the cryptography. Finally, the simulation results verify that the proposed image encryption scheme has better performance and higher security, which can effectively resist various attacks.

Key words: memristive chaotic system, super-wide parameter range, image encryption, Grain-128a algorithm, dynamic pixel masking