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Secure image encryption scheme based on a new robust chaotic map and strong S-box

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  • Zhu, Shenli
  • Deng, Xiaoheng
  • Zhang, Wendong
  • Zhu, Congxu

Abstract

Because the characteristics of chaotic systems are very consistent with the requirements of cryptosystem, chaotic systems are widely used in the encryption of big data, especially the chaos based image encryption is particularly feasible. In this paper, a one-dimensional (1D) piece-wise quadratic polynomial chaotic map (PWQPCM) is proposed to obtain a new system model with better chaotic characteristics. Compared with some existing 1D chaotic systems, the proposed PWQPCM system has better dynamic performance. In particular, it exhibits robust chaotic behavior over a larger continuous parameter range, which is more suitable for cryptographic applications. In addition, a strong S-box construction method and a secure image encryption algorithm based on PWQPCM model are proposed. In this encryption algorithm, a new method of pixel segmentation encryption, S-box substitution and diffusion encryption is combined. The cryptosystem proposed in this paper has the advantages of good performance against data loss, low time cost and flexible adjustment of security strength. Simulation experiments and security analysis verified the above good performance of the encryption system, showing its good application potential in real-time image security communication.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:matcom:v:207:y:2023:i:c:p:322-346
    DOI: 10.1016/j.matcom.2022.12.025
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    References listed on IDEAS

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    1. Zhu, Hegui & Dai, Lewen & Liu, Yating & Wu, Lijun, 2021. "A three-dimensional bit-level image encryption algorithm with Rubik’s cube method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 754-770.
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    6. 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.
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    Cited by:

    1. Ernesto Moya-Albor & Andrés Romero-Arellano & Jorge Brieva & Sandra L. Gomez-Coronel, 2023. "Color Image Encryption Algorithm Based on a Chaotic Model Using the Modular Discrete Derivative and Langton’s Ant," Mathematics, MDPI, vol. 11(10), pages 1-35, May.
    2. Wu, Xin & Shi, Hang & Ji’e, Musha & Duan, Shukai & Wang, Lidan, 2023. "A novel image compression and encryption scheme based on conservative chaotic system and DNA method," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    3. Ye, Guodong & Wu, Huishan & Liu, Min & Huang, Xiaoling, 2023. "Reversible image-hiding algorithm based on singular value sampling and compressive sensing," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).

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