Detail publikace

Hexagonal quasigroups over finite fields

VANŽUROVÁ, A. DOLEŽALOVÁ, J.

Originální název

Hexagonal quasigroups over finite fields

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

Quasigroups are algebraic structures, non-associative in general, which started to play an important role recetly in relation to coding theory, cryptography and the security of information. We present some finite examples of the so-called hexagonal quasigroups that form a subvariety in the variety of idempotent medial quasigroups. Our construction is based on the Toyoda-like theorem and on additive groups of finite fields.

Klíčová slova

Quasigroup, mediality, hexagonal quasigroup, finite field.

Autoři

VANŽUROVÁ, A.; DOLEŽALOVÁ, J.

Rok RIV

2011

Vydáno

22. 9. 2011

Nakladatel

The University of Defence

Místo

Brno, The University of Defence

ISBN

978-80-7231-815-5

Kniha

7th Conference on Mathematics and Physics on Technical Universities - Proceedings of Contributions

Strany od

411

Strany do

419

Strany počet

9

BibTex

@inproceedings{BUT75040,
  author="VANŽUROVÁ, A. and DOLEŽALOVÁ, J.",
  title="Hexagonal quasigroups over finite fields",
  booktitle="7th Conference on Mathematics and Physics on Technical Universities - Proceedings of Contributions",
  year="2011",
  pages="411--419",
  publisher="The University of Defence",
  address="Brno, The University of Defence",
  isbn="978-80-7231-815-5"
}