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One-way hash function construction based on chaotic map network

Author

Listed:
  • Yang, Huaqian
  • Wong, Kwok-Wo
  • Liao, Xiaofeng
  • Wang, Yong
  • Yang, Degang

Abstract

A novel chaotic hash algorithm based on a network structure formed by 16 chaotic maps is proposed. The original message is first padded with zeros to make the length a multiple of four. Then it is divided into a number of blocks each contains 4bytes. In the hashing process, the blocks are mixed together by the chaotic map network since the initial value and the control parameter of each tent map are dynamically determined by the output of its neighbors. To enhance the confusion and diffusion effect, the cipher block chaining (CBC) mode is adopted in the algorithm. Theoretic analyses and numerical simulations both show that the proposed hash algorithm possesses good statistical properties, strong collision resistance and high flexibility, as required by practical keyed hash functions.

Suggested Citation

  • Yang, Huaqian & Wong, Kwok-Wo & Liao, Xiaofeng & Wang, Yong & Yang, Degang, 2009. "One-way hash function construction based on chaotic map network," Chaos, Solitons & Fractals, Elsevier, vol. 41(5), pages 2566-2574.
    • Handle: RePEc:eee:chsofr:v:41:y:2009:i:5:p:2566-2574
    DOI: 10.1016/j.chaos.2008.09.056
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    References listed on IDEAS

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    1. Khan, Muhammad Khurram & Zhang, Jiashu & Wang, Xiaomin, 2008. "Chaotic hash-based fingerprint biometric remote user authentication scheme on mobile devices," Chaos, Solitons & Fractals, Elsevier, vol. 35(3), pages 519-524.
    2. Nien, H.H. & Huang, C.K. & Changchien, S.K. & Shieh, H.W. & Chen, C.T. & Tuan, Y.Y., 2007. "Digital color image encoding and decoding using a novel chaotic random generator," Chaos, Solitons & Fractals, Elsevier, vol. 32(3), pages 1070-1080.
    3. Xiao, Di & Liao, Xiaofeng & Deng, Shaojiang, 2005. "One-way Hash function construction based on the chaotic map with changeable-parameter," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 65-71.
    4. Behnia, S. & Akhshani, A. & Akhavan, A. & Mahmodi, H., 2009. "Applications of tripled chaotic maps in cryptography," Chaos, Solitons & Fractals, Elsevier, vol. 40(1), pages 505-519.
    5. Zhou, Qing & Wong, Kwok-wo & Liao, Xiaofeng & Xiang, Tao & Hu, Yue, 2008. "Parallel image encryption algorithm based on discretized chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1081-1092.
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    Cited by:

    1. Akhshani, A. & Behnia, S. & Akhavan, A. & Jafarizadeh, M.A. & Abu Hassan, H. & Hassan, Z., 2009. "Hash function based on hierarchy of 2D piecewise nonlinear chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2405-2412.
    2. Rasool, Masrat & Belhaouari, Samir Brahim, 2023. "From Collatz Conjecture to chaos and hash function," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).

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