Cited by 9Chaos-based Image/Signal EncryptionMathematical Dynamics and FractalsCryptographic Implementations and Security

SHAH: Hash Function Based on Irregularly Decimated Chaotic Map

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Todorova, Mihaela, Stoyanov, Borislav, Szczypiorski, Krzysztof, Kordov, Krasimir·2018·International Journal of Electronics and Telecommunications

Abstract

We present a new hash function based on irregularly decimated chaotic map, in this article. The hash algorithm called SHAH is based on two Tinkerbell maps filtered with irregular decimation rule. We evaluated the novel function using distribution analysis, sensitivity analysis, static analysis of diffusion, static analysis of confusion, and collision analysis. The experimental data show that SHAH satisfied valuable level of computer security.

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  • This key space is high enough to resist brute force attacks and is comparable to state-of-the-art text hashing schemes, for example, [30,31].

    “This key space is high enough to resist brute force attacks and is comparable to state-of-the-art text hashing schemes, for example, [30,31].”

    From A Secure and Robust Image Hashing Scheme Using Gaussian Pyramids (2019) · cites this paper as [31]

    The paper’s “Initial Key Size Calculation” section states that its proposed generator has an initial key size greater than 2^199 and is secure against brute-force key searches. The comparison tables in “Statistic Analysis of Diffusion and Statistic Analysis of Confusion” compare hash-output properties, not key-space sizes, so they do not support the claimed key-space comparability to other text hashing schemes. Page numbers were not available in our copy. (LLM, conf=0.83)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 3

  1. A. Kanso and N. Smaoui, "Irregularly decimated chaotic map(s) for binary digit generation", International Journal of Bifurcation and Chaos 19 (4), 1169-1183 (2009).
  2. W. Meier and O. Staffelbach, "The self-shrinking generator", In: Blahut R.E., Costello D.J., Maurer U., Mittelholzer T. (eds) Communications and Cryptography, Springer, Boston, MA, The Springer International Series in Engineering and Computer Science (Communications and Information Theory), vol. 276, 1994, pp. 287-295.
  3. IEEE Computer Society (2008), 754-2008 -IEEE standard for floating- point arithmetic, Revision of ANSI/IEEE Std 754-1985, 10.1109/ IEEESTD.2008.4610935. · DOI

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Authors
Todorova, M., Stoyanov, B., Szczypiorski, K., & Kordov, K.
Affiliations
  • Shumen University (BG)
  • Warsaw University of Technology (PL)
Venue
International Journal of Electronics and Telecommunications
Published
2018-11-15
Pages
457-457
ISSN
  • 0867-6747 (ISSN-L)
  • 2300-1933
  • 2081-8491
OpenAlex
W2887914272
Cited by
9
References
31
Citations by year
2024: 1 · 2021: 5 · 2020: 2 · 2019: 1
FWCI
1.00
Type
journal article
Language
pl
Open access
Locations
  • International Journal of Electronics and Telecommunications (publishedVersion)
  • International Journal of Electronics and Telecommunications (publishedVersion, cc-by-nc)
  • arXiv (Cornell University) (submittedVersion)
  • DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion, cc-by-sa)
  • arXiv (Cornell University)
Funders
European Regional Development Fund
Topics
  • Physical Sciences › Computer Science › Computer Vision and Pattern Recognition › Chaos-based Image/Signal Encryption
  • Physical Sciences › Mathematics › Mathematical Physics › Mathematical Dynamics and Fractals
  • Physical Sciences › Computer Science › Artificial Intelligence › Cryptographic Implementations and Security
Keywords
chaotic maps, hash function security, collision resistance, diffusion analysis, sensitivity analysis, distribution analysis

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