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A Chaos-Based Encryption Algorithm to Protect the Security of Digital Artwork Images

Author

Listed:
  • Li Shi

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

  • Xiangjun Li

    (School of Software, Nanchang University, Nanchang 330031, China
    Jiangxi Provincial Key Laboratory of Data Security Technology, Nanchang 330031, China)

  • Bingxue Jin

    (School of Software, Nanchang University, Nanchang 330031, China
    Jiangxi Provincial Key Laboratory of Data Security Technology, Nanchang 330031, China)

  • Yingjie Li

    (School of Software, Nanchang University, Nanchang 330031, China
    Jiangxi Provincial Key Laboratory of Data Security Technology, Nanchang 330031, China)

Abstract

Due to the security weaknesses of chaos-based pseudorandom number generators, in this paper, a new pseudorandom number generator (PRNG) based on mixing three-dimensional variables of a cat chaotic map is proposed. A uniformly distributed chaotic sequence by a logistic map is used in the mixing step. Both statistical tests and a security analysis indicate that our PRNG has good randomness and is more complex than any one-dimensional variable of a cat map. Furthermore, a new image encryption algorithm based on the chaotic PRNG is provided to protect the content of artwork images. The core of the algorithm is to use the sequence generated by the pseudorandom number generator to achieve the process of disruption and diffusion of the image pixels, so as to achieve the effect of obfuscation and encryption of the image content. Several security tests demonstrate that this image encryption algorithm has a high security level.

Suggested Citation

  • Li Shi & Xiangjun Li & Bingxue Jin & Yingjie Li, 2024. "A Chaos-Based Encryption Algorithm to Protect the Security of Digital Artwork Images," Mathematics, MDPI, vol. 12(20), pages 1-17, October.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3162-:d:1495317
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    References listed on IDEAS

    as
    1. Erkan, Uğur & Toktas, Abdurrahim & Lai, Qiang, 2023. "Design of two dimensional hyperchaotic system through optimization benchmark function," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
    2. Kanso, Ali & Smaoui, Nejib, 2009. "Logistic chaotic maps for binary numbers generations," Chaos, Solitons & Fractals, Elsevier, vol. 40(5), pages 2557-2568.
    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. Yue Zhu & Chunhua Wang & Jingru Sun & Fei Yu, 2023. "A Chaotic Image Encryption Method Based on the Artificial Fish Swarms Algorithm and the DNA Coding," Mathematics, MDPI, vol. 11(3), pages 1-18, February.
    Full references (including those not matched with items on IDEAS)

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