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Secure Parallel Image Cryptographic Hash Function Using a Novel 2D High-Randomness Hyperchaotic Map

Author

Listed:
  • Mingrui Qi

    (Sydney Smart Technology College, Northeastern University, Shenyang 110819, China)

  • Dongdong Wang

    (School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China)

Abstract

For image data, the processing of each pixel using a cryptographic hash function is linear, and the existing cryptographic hash function lacks parallel processing of image width and height. In order to improve the computational efficiency and ensure the security of the hash function in image cryptography, we design a 2D hyperchaotic map, whose good chaotic dynamics and randomness fully meet the needs of the hash function. Based on the proposed mapping, we propose an image-specific chaotic hash function for confusion diffusion and extraction in both width and height dimensions in parallel. The designed hash function of image cryptography can set some common hash lengths and also support the setting of key. For image data, the proposed method has higher computational efficiency than other common hash functions and has good encryption security and anti-collision characteristics.

Suggested Citation

  • Mingrui Qi & Dongdong Wang, 2025. "Secure Parallel Image Cryptographic Hash Function Using a Novel 2D High-Randomness Hyperchaotic Map," Mathematics, MDPI, vol. 13(11), pages 1-18, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1890-:d:1672397
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    References listed on IDEAS

    as
    1. Gao, Qisu & Zhang, Xiaoqiang, 2024. "Multiple-image encryption algorithm based on a new composite chaotic system and 3D coordinate matrix," Chaos, Solitons & Fractals, Elsevier, vol. 189(P1).
    2. Huang, Yibo & Wang, Ling & Li, Zhiyong & Zhang, Qiuyu, 2024. "A new 3D robust chaotic mapping and its application to speech encryption," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    3. Tong, Xiaojun & Liu, Xilin & Zhang, Miao & Wang, Zhu, 2024. "A high-quality visual image encryption algorithm utilizing the conservative chaotic system and adaptive embedding," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    4. 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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