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A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization

Author

Listed:
  • Xiaoyuan Wang

    (School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Xinrui Zhang

    (School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Meng Gao

    (School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Yuanze Tian

    (School of Electronics and Information, Hangzhou Dianzi University, Hangzhou 310018, China)

  • Chunhua Wang

    (School of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China)

  • Herbert Ho-Ching Iu

    (School of Electrical, Electronic and Computer Engineering, The University of Western Australia, Perth 6009, Australia)

Abstract

Chaotic systems, especially hyper-chaotic systems are suitable for digital image encryption because of their complex properties such as pseudo randomness and extreme sensitivity. This paper proposes a new color image encryption algorithm based on a hyper-chaotic system constructed by a tri-valued memristor. The encryption process is based on the structure of permutation-diffusion, and the transmission of key information is realized through hyper-chaotic synchronization technology. In this design, the hash value of the plaintext image is used to generate the initial key the permutation sequence with the Hash table structure based on the hyper-chaotic sequence is used to implement pixel-level and bit-level permutation operations. Hilbert curves combining with the ciphertext feedback mechanism are applied to complete the diffusion operation. A series of experimental analyses have been applied to measure the novel algorithm, and the results show that the scheme has excellent encryption performance and can resist a variety of attacks. This method can be applied in secure image communication fields.

Suggested Citation

  • Xiaoyuan Wang & Xinrui Zhang & Meng Gao & Yuanze Tian & Chunhua Wang & Herbert Ho-Ching Iu, 2023. "A Color Image Encryption Algorithm Based on Hash Table, Hilbert Curve and Hyper-Chaotic Synchronization," Mathematics, MDPI, vol. 11(3), pages 1-18, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:3:p:567-:d:1043171
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    References listed on IDEAS

    as
    1. Xiaoyuan Wang & Xue Zhang & Meng Gao, 2020. "A Novel Voltage-Controlled Tri-Valued Memristor and Its Application in Chaotic System," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    2. Wang, Xiaoyuan & Gao, Meng & Iu, Herbert Ho-Ching & Wang, Chunhua, 2022. "Tri-valued memristor-based hyper-chaotic system with hidden and coexistent attractors," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
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    Citations

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    Cited by:

    1. 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.
    2. Cheng-Ta Huang & Chi-Yao Weng & Njabulo Sinethemba Shongwe, 2023. "Capacity-Raising Reversible Data Hiding Using Empirical Plus–Minus One in Dual Images," Mathematics, MDPI, vol. 11(8), pages 1-27, April.
    3. Hairong Lin & Chunhua Wang & Fei Yu & Jingru Sun & Sichun Du & Zekun Deng & Quanli Deng, 2023. "A Review of Chaotic Systems Based on Memristive Hopfield Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-18, March.
    4. Mingxu Wang & Xianping Fu & Xiaopeng Yan & Lin Teng, 2024. "A New Chaos-Based Image Encryption Algorithm Based on Discrete Fourier Transform and Improved Joseph Traversal," Mathematics, MDPI, vol. 12(5), pages 1-19, February.

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