Abstract
Tillich and Zémor proposed a hashing scheme based on the group of unimodular matrices SL 2(F q) over a finite field F q of q = 2n elements. Charnes and Pieprzyk studied the security of this scheme. They showed that for n = 131 and for some irreducible polynomial P 131(x) this scheme is weak. We show that with sufficiently high probability the polynomials P n(x) can be chosen in such a way that this type of attack can be avoided. Futhermore, we generalize the Tillich-Zémor hashing scheme for any finite field F q and show that the new generalized scheme has similar properties.
This author’s research was partially funded by the Korea Science and Engineering Foundation, grant 961-0106-038-2
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References
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© 1998 Springer-Verlag Berlin Heidelberg
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Abdukhalikov, K.S., Kim, C. (1998). On the Security of the Hashing Scheme Based on SL 2 . In: Vaudenay, S. (eds) Fast Software Encryption. FSE 1998. Lecture Notes in Computer Science, vol 1372. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69710-1_7
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DOI: https://doi.org/10.1007/3-540-69710-1_7
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