Computer Science

Computer Science ›› 2025, Vol. 52 ›› Issue (4): 381-391.doi: 10.11896/jsjkx.240100008

• Information Security • Previous Articles    

Two-dimensional Dynamic Coupled Mapping Lattice System Based on m-sequence and Spherical Cavity and Its Characteristics

MA Yingjie1, TIAN Yan2, ZHAO Geng2, YANG Yatao1, QIN Jingying1, HONG Hui2   

  1. 1 Department of Electronic and Communication Engineering,Beijing Electronic Science and Technology Institute,Beijing 100070,China
    2 Department of Cyberspace Security,Beijing Electronic Science and Technology Institute,Beijing 100070,China
  • Received:2024-01-02 Revised:2024-05-23 Online:2025-04-15 Published:2025-04-14
  • About author:MA Yingjie,born in 1979,Ph.D.Her main research interests include communication system and chaotic secure communication.
    TIAN Yan,born in 1999,postgraduate.His main research interests include secure communication and chaotic block cipher.
  • Supported by:
    Fundamental Research Funds for the Central Universities(328202258,3282023054) and National Natural Science Foundation of China(62441208).

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Abstract: In order to solve the problems of low dynamic complexity and high correlation between generated sequences in existing spatiotemporal chaotic systems,two-dimensional dynamic coupled map lattices system based on m-sequences and spherical cavity is proposed.The improved m-sequence is used to construct an iterative matrix,which is used to determine the index and perturbation symbol of the coupled objects of each lattice in the iterative process.The piecewise chaotic mapping constructed through a spherical cavity introduces controllable perturbations to the chaotic sequence.The dynamic characteristics of the system are evalua-ted by bifurcation diagram,regression mapping,Lyapunov exponent and K-entropy,while the correlation,uniformity,random-ness of the generated sequence and the computational complexity of the system are tested and verified.Simulation experiments and comparative analysis show that the system exhibits rich nonlinear dynamical behavior and superior performance metrics,including period doubling and bifurcation phenomena,with potential applications in data encryption,image encryption,and S-box generation.

Key words: Chaotic system, Two-dimensional coupled map lattices, m-sequence, Dynamic characteristics, Spherical cavity

CLC Number: 

  • TN918
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