On the associativity index of finite quasigroups

Tsaregorodtsev Kirill Denisovich

On the associativity index of finite quasigroups

Tsaregorodtsev K. D.

Tsaregorodtsev Kirill Denisovich

senior researcher, JSRPC "Kryptonite"

Published: 2024, vol. 28, issue 3, pp. 80–101

Download full text (In Russian)

Abstract

In this paper we review the results on the number of associative triples in generic quasigroups and quasigroups from restricted classes. Lower and upper bounds on the number of triples are considered, and experimental results on the associativity index of quasigroups generated by proper families of boolean functions are provided.

Keywords: associative triple, quasigroup, proper family of boolean functions.

BibTeX

@article{IS-Tsaregorodtsev2024,
  author  = {Tsaregorodtsev, Kirill Denisovich},
  title   = {{On the associativity index of finite quasigroups}},
  journal = {Intelligent Systems. Theory and Applications},
  year    = {2024},
  volume  = {28},
  number  = {3},
  pages   = {80--101},
}

AMSBIB

\Bibitem{IS-Tsaregorodtsev2024}
\by K.\,D.~Tsaregorodtsev
\paper On the associativity index of finite quasigroups
\jour Intelligent Systems. Theory and Applications
\yr 2024
\vol 28
\issue 3
\pages 80--101
\lang In Russian

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