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Chaotic hash function based on circular shifts with variable parameters

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  • Li, Yantao
  • Li, Xiang

Abstract

We propose a chaotic hash algorithm based on circular shifts with variable parameters in this paper. We exploit piecewise linear chaotic map and one-way coupled map lattice to produce initial values and variable parameters. Circular shifts are introduced to improve the randomness of hash values. We evaluate the proposed hash algorithm in terms of distribution of the hash value, sensitivity of the hash value to slight modifications of the original message and secret keys, confusion and diffusion properties, robustness against birthday and meet-in-the-middle attacks, collision tests, analysis of speed, randomness tests, flexibility, computational complexity, and the results demonstrate that the proposed algorithm has strong security strength. Compared with the existing chaotic hash algorithms, our algorithm shows moderate statistical performance, better speed, randomness tests, and flexibility.

Suggested Citation

  • Li, Yantao & Li, Xiang, 2016. "Chaotic hash function based on circular shifts with variable parameters," Chaos, Solitons & Fractals, Elsevier, vol. 91(C), pages 639-648.
    • Handle: RePEc:eee:chsofr:v:91:y:2016:i:c:p:639-648
    DOI: 10.1016/j.chaos.2016.08.014
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    References listed on IDEAS

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    1. Amin, Mohamed & Faragallah, Osama S. & Abd El-Latif, Ahmed A., 2009. "Chaos-based hash function (CBHF) for cryptographic applications," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 767-772.
    2. Asgari Chenaghlu, Meysam & Jamali, Shahram & Nikzad Khasmakhi, Narjes, 2016. "A novel keyed parallel hashing scheme based on a new chaotic system," Chaos, Solitons & Fractals, Elsevier, vol. 87(C), pages 216-225.
    3. Akhavan, A. & Samsudin, A. & Akhshani, A., 2009. "Hash function based on piecewise nonlinear chaotic map," Chaos, Solitons & Fractals, Elsevier, vol. 42(2), pages 1046-1053.
    4. 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.
    5. Ren, Haijun & Wang, Yong & Xie, Qing & Yang, Huaqian, 2009. "A novel method for one-way hash function construction based on spatiotemporal chaos," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2014-2022.
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    Cited by:

    1. Tutueva, Aleksandra V. & Karimov, Artur I. & Moysis, Lazaros & Volos, Christos & Butusov, Denis N., 2020. "Construction of one-way hash functions with increased key space using adaptive chaotic maps," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    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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