%0 Journal Article
%T Oriented Steiner quasigroups
%A Izabella Stuhl
%J Mathematics
%D 2014
%I arXiv
%R 10.1142/S0219498814500728
%X 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.
%U http://arxiv.org/abs/1402.4644v2