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On a Symmetric Image Cryptosystem Based on a Novel One-Dimensional Chaotic System and Banyan Network

Author

Listed:
  • Qingye Huang

    (School of Advanced Manufacturing, Guangdong University of Technology, Jieyang 522000, China
    These authors contributed equally to this work.)

  • Linqing Huang

    (School of Advanced Manufacturing, Guangdong University of Technology, Jieyang 522000, China
    These authors contributed equally to this work.)

  • Shuting Cai

    (School of Integrated Circuits, Guangdong University of Technology, Guangzhou 510006, China)

  • Xiaoming Xiong

    (School of Integrated Circuits, Guangdong University of Technology, Guangzhou 510006, China)

  • Hui Zhang

    (School of Automation, Guangdong University of Technology, Guangzhou 510006, China)

Abstract

In this paper, a Banyan network with high parallelism and nonlinearity is used for the first time in image encryption to ensure high complexity and randomness in a cipher image. To begin, we propose a new 1-D chaotic system (1-DSCM) which improves the chaotic behavior and control parameters’ structure of the sin map. Then, based on 1-DSCM, a Banyan network, and SHA-256 hash function, a novel image encryption algorithm is conducted. Firstly, a parameter is calculated using SHA-256 hash function and then employed to preprocess the plaintext image to guarantee high plaintext sensitivity. Secondly, a row–column permutation operation is performed to gain the scrambled image. Finally, based on the characteristic of DNA encoding, a novel DNA mapping is constructed using an N = 4 Banyan network and is used to diffuse the scrambled image. Simulation results show that the 1-DSCM has excellent performance in chaotic behavior and that our encryption algorithm exhibits strong robustness against various attacks and is suitable for use in modern cryptosystems.

Suggested Citation

  • Qingye Huang & Linqing Huang & Shuting Cai & Xiaoming Xiong & Hui Zhang, 2023. "On a Symmetric Image Cryptosystem Based on a Novel One-Dimensional Chaotic System and Banyan Network," Mathematics, MDPI, vol. 11(21), pages 1-21, October.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:21:p:4411-:d:1266499
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    References listed on IDEAS

    as
    1. Lin, Hairong & Wang, Chunhua & Du, Sichun & Yao, Wei & Sun, Yichuang, 2023. "A family of memristive multibutterfly chaotic systems with multidirectional initial-based offset boosting," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    2. Wang, Xingyuan & Li, Yanpei & Jin, Jie, 2020. "A new one-dimensional chaotic system with applications in image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Yildirim, Melih, 2022. "Optical color image encryption scheme with a novel DNA encoding algorithm based on a chaotic circuit," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    4. Zizhao Xie & Jingru Sun & Yiping Tang & Xin Tang & Oluyomi Simpson & Yichuang Sun, 2023. "A K-SVD Based Compressive Sensing Method for Visual Chaotic Image Encryption," Mathematics, MDPI, vol. 11(7), pages 1-20, March.
    Full references (including those not matched with items on IDEAS)

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