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A note on the hash function of Tillich and Zémor

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Cryptography and Coding (Cryptography and Coding 1995)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1025))

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Abstract

The hash function based on the group SL2(\(F_{2^n }\)) [4] is studied by embedding the generators of SL2(\(F_{2^n }\)) into finite fields. Using this embeddings, clashing sequences can be found by calculationg discrete logarithms in the field \(F_{2^n }\).

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References

  1. C. Charnes, J.Pieprzyk; Attacking the SL2 Hashing Scheme; Proceedings of ASIA-CRYPT '94, J.Pieprzyk (Ed.), LNCS, Springer, pp. 268–276.

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  2. W. Geiselmann, D. Gollmann; Self-Dual Basis in \(F_{q^n }\); Designs, Codes and Cryptography, Vol. 3, No. 4, pp. 333–345, 1993.

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  3. R. Lidl, H. Niederreiter; Introduction to Finite Fields and Their Applications; Cambridge University Press, 1986.

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  4. J-P. Tillich, G.Zémor; Hashing with 263–02; Proceedings of CRYPTO '94, Y. Desmet (Ed.), LNCS Vol 839, Springer, pp. 40–49, 1994.

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Colin Boyd

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© 1995 Springer-Verlag Berlin Heidelberg

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Geiselmann, W. (1995). A note on the hash function of Tillich and Zémor. In: Boyd, C. (eds) Cryptography and Coding. Cryptography and Coding 1995. Lecture Notes in Computer Science, vol 1025. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60693-9_27

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  • DOI: https://doi.org/10.1007/3-540-60693-9_27

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-60693-2

  • Online ISBN: 978-3-540-49280-1

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