On quasigroups with few associative triples

DOI10.1007/S10623-010-9482-9zbMath1250.94036OpenAlexW2017271227MaRDI QIDQ420637

Peter Horák, Otokar Grošek

Publication date: 22 May 2012

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-010-9482-9

zbMATH Keywords

Latin squaresquasigroupshash functionscombinatorial designsassociative triplesassociativity index

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Cryptography (94A60) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Applications to coding theory and cryptography of arithmetic geometry (14G50)

Related Items (11)

Unnamed Item ⋮ Few associative triples, isotopisms and groups ⋮ ON THE NUMBER OF QUADRATIC ORTHOMORPHISMS THAT PRODUCE MAXIMALLY NONASSOCIATIVE QUASIGROUPS ⋮ Квазигруппы и их приложения ⋮ Algebraic properties of subquasigroups and construction of finite quasigroups ⋮ Extreme nonassociativity in order nine and beyond ⋮ A note on one inequality of Drápal–Valent type ⋮ Maximal nonassociativity via fields ⋮ Maximally nonassociative quasigroups via quadratic orthomorphisms ⋮ Maximal nonassociativity via nearfields ⋮ Inequalities of DVT-type -- the one-dimensional case

Cites Work

• On quasigroups rich in associative triples
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