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  • 1 Military University of Technology, ul. Kaliskiego 2, 00-908 Warszawa, Poland
  • 2 Polish Academy of Sciences, ul. Jana Kazimierza 5, 01-248 Warszawa, Poland
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HaF is a family of hash functions developed in Poland at Poznán University of Technology, see [1, 2]. It is a classical Merkle-Damgård construction with the output sizes of 256, 512 or 1024 bits. In this paper we present a collision attack with negligible complexity (collisions can be found without using a computer) for all the members of HaF family. We have also shown that the improved function (without the critical transformation) is still insecure. It is possible to find a preimage for a short message with the complexity lower than the exhaustive search. We are also able to create some fixed points with a complexity of single compression function call.

  • [1]

    Bilski, T., Bucholc, K., Grocholewska-Czuryło, A. and Stokłosa, J., HaF — A new family of hash functions, PECCS 2012 — Proceedings of the 2nd InternationalConference on Pervasive Embedded Computing and CommunicationSystems, Rome, Italy, 2426 February, 2012, pp. 188195, SciTePress, 2012.

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  • [2]

    Bilski, T., Bucholc, K., Grocholewska-Czuryło, A. and Stokłosa, J., Parameterized Hash Functions, Annales UMCS, sec. AI (Informatica), Volume XII, Issue 3, pp. 1124, Versita, 2012.

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  • [3]

    Damgård, I. B., A Design Principle for Hash Functions, Advances in Cryptology — CRYPTO ’89, Lecture Notes in Computer Science Vol. 435, pp. 416427, Springer-Verlag, 1990.

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  • [4]

    Menezes, A. J., van Oorschot, P. C. and Vanstone, S. A., Handbook of Applied Cryptography, CRC Press, Boca Raton, FL, 1996.

  • [5]

    Merkle, R. C., Secrecy, Authentication, and Public Key Systems, Technical Report No. 1979-1, pp. 1115, Information Systems Laboratory, Stanford University, 1979.

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  • [6]

    National Institute of Standards and Technology. (2005, Apr.) SHA-3 Competition (2007–2012). [Online]. Available:

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  • Impact Factor (2019): 0.486
  • Scimago Journal Rank (2019): 0.234
  • SJR Hirsch-Index (2019): 23
  • SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.309
  • Scimago Journal Rank (2018): 0.253
  • SJR Hirsch-Index (2018): 21
  • SJR Quartile Score (2018): Q3 Mathematics (miscellaneous)

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Editor(s)-in-Chief: Pálfy Péter Pál

Managing Editor(s): Sági, Gábor

Editorial Board

  • Biró, András (Number theory)
  • Csáki, Endre (Probability theory and stochastic processes, Statistics)
  • Domokos, Mátyás (Algebra (Ring theory, Invariant theory))
  • Győri, Ervin (Graph and hypergraph theory, Extremal combinatorics, Designs and configurations)
  • O. H. Katona, Gyula (Combinatorics)
  • Márki, László (Algebra (Semigroup theory, Category theory, Ring theory))
  • Némethi, András (Algebraic geometry, Analytic spaces, Analysis on manifolds)
  • Pach, János (Combinatorics, Discrete and computational geometry)
  • Rásonyi, Miklós (Probability theory and stochastic processes, Financial mathematics)
  • Révész, Szilárd Gy. (Analysis (Approximation theory, Potential theory, Harmonic analysis, Functional analysis))
  • Ruzsa, Imre Z. (Number theory)
  • Soukup, Lajos (General topology, Set theory, Model theory, Algebraic logic, Measure and integration)
  • Stipsicz, András (Low dimensional topology and knot theory, Manifolds and cell complexes, Differential topology)
  • Szász, Domokos (Dynamical systems and ergodic theory, Mechanics of particles and systems)
  • Tóth, Géza (Combinatorial geometry)

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