On quasigroups with few associative triples |
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| Authors: | Otokar Gro?ek Peter Horák |
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| Institution: | 1. Department of Applied Informatics & Information Technology, Slovak University of Technology, 812 19, Bratislava, Slovakia
2. Interdisciplinary Arts & Sciences, University of Washington, Tacoma, WA, 98402, USA
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| Abstract: | There are numerous application of quasigroups in cryptology. It turns out that quasigroups with the relatively small number of associative triples can be utilized in designs of hash functions. In this paper we provide both a new lower bound and a new upper bound on the minimum number of associative triples over quasigroups of a given order. |
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