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A Novel Plain-Text Related Image Encryption Algorithm Based on LB Compound Chaotic Map

Author

Listed:
  • Shijie Zhang

    (School of Software, Nanchang University, Nanchang 330031, China)

  • Lingfeng Liu

    (School of Software, Nanchang University, Nanchang 330031, China)

  • Hongyue Xiang

    (School of Software, Nanchang University, Nanchang 330031, China)

Abstract

Chaos systems have been widely used in image encryption algorithms. In this article, we introduce an LB (Logistic-Baker) compound chaotic map that can greatly improve the complexity of original Logistic map and Baker map, as well as the generated sequences have pseudo-randomness. Furthermore, based on the LB compound chaotic map, an image encryption algorithm is proposed. To resist the differential attack, and enhance the sensitivity of plain-text, the parameters of this algorithm are plain-text related. In this algorithm, the compound chaotic function is influenced by the plain-text image; thus, the specific form of this chaotic map, and its dynamics will be different when encrypting different images. Numerical experiment results indicate that the effect of this novel plain-text related image encryption scheme is excellent, as well as can be competitive with other corresponding algorithms.

Suggested Citation

  • Shijie Zhang & Lingfeng Liu & Hongyue Xiang, 2021. "A Novel Plain-Text Related Image Encryption Algorithm Based on LB Compound Chaotic Map," Mathematics, MDPI, vol. 9(21), pages 1-25, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:21:p:2778-:d:670729
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    References listed on IDEAS

    as
    1. Zhang, Shijie & Liu, Lingfeng, 2021. "A novel image encryption algorithm based on SPWLCM and DNA coding," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 723-744.
    2. Alghafis, Abdullah & Firdousi, Faiza & Khan, Majid & Batool, Syeda Iram & Amin, Muhammad, 2020. "An efficient image encryption scheme based on chaotic and Deoxyribonucleic acid sequencing," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 177(C), pages 441-466.
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    Cited by:

    1. Zhu, Shenli & Deng, Xiaoheng & Zhang, Wendong & Zhu, Congxu, 2023. "Secure image encryption scheme based on a new robust chaotic map and strong S-box," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 207(C), pages 322-346.
    2. Man, Zhenlong, 2023. "Biometric information security based on double chaotic rotating diffusion," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Hongyan Zang & Mengdan Tai & Xinyuan Wei, 2022. "Image Encryption Schemes Based on a Class of Uniformly Distributed Chaotic Systems," Mathematics, MDPI, vol. 10(7), pages 1-21, March.
    4. Gong, Li-Hua & Luo, Hui-Xin & Wu, Rou-Qing & Zhou, Nan-Run, 2022. "New 4D chaotic system with hidden attractors and self-excited attractors and its application in image encryption based on RNG," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 591(C).
    5. Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Image Encryption Scheme Based on Newly Designed Chaotic Map and Parallel DNA Coding," Mathematics, MDPI, vol. 11(1), pages 1-22, January.
    6. Shenli Zhu & Xiaoheng Deng & Wendong Zhang & Congxu Zhu, 2023. "Construction of a New 2D Hyperchaotic Map with Application in Efficient Pseudo-Random Number Generator Design and Color Image Encryption," Mathematics, MDPI, vol. 11(14), pages 1-23, July.
    7. Ding, Dawei & Zhu, Haifei & Zhang, Hongwei & Yang, Zongli & Xie, Dong, 2024. "An n-dimensional polynomial modulo chaotic map with controllable range of Lyapunov exponents and its application in color image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).

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