Oriented Steiner quasigroups

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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 [10, 11, 14]) achieved through oriented Steiner triple systems. This is done in a fashion similar to one in [13] where an analogous construction was established for loops. As a justification of this concept we briefly discuss an application of oriented Steiner triple systems in cryptography using oriented Steiner quasigroups.

Original languageEnglish (US)
Article number1450072
JournalJournal of Algebra and its Applications
Volume13
Issue number8
DOIs
StatePublished - Dec 2014

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory
  • Applied Mathematics

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