Oriented Steiner quasigroups
Group Theory
2015-05-07 v2
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 -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.
Cite
@article{arxiv.1402.4644,
title = {Oriented Steiner quasigroups},
author = {Izabella Stuhl},
journal= {arXiv preprint arXiv:1402.4644},
year = {2015}
}