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arXiv · 1402.4644

Oriented Steiner quasigroups

Izabella Stuhl
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Abstract

We introduce the notion of an oriented Steiner quasigroup and develop elements of a relevant algebraic apparatus. The approach is based upon (modified) Schreier-type $f$-extensions for quasigroups (cf. earlier works \cite{S, NSt, NSt2}) achieved through oriented Steiner triple systems. This is done in a fashion similar to in \cite{SS} where an analogous construction was established for loops. As a justification of this concept briefly discuss an application of oriented Steiner triple systems in cryptography using oriented Steiner quasigroups.

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Izabella Stuhl. 2014-04-22. Oriented Steiner quasigroups. https://doi.org/10.1142/s0219498814500728

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