Orthomorphisms of abelian groups with minimum possible pairwise distances

DOI10.1515/DMA-2020-0017zbMath1437.20049OpenAlexW3035407749MaRDI QIDQ783118

Andrey V. Menyachikhin

Publication date: 30 July 2020

Published in: Discrete Mathematics and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dma-2020-0017

zbMATH Keywords

permutationquasigroupLatin squareabelian grouporthomorphismorthogonal Latin squaresnonlinear transformation\(s\)-boxCayley distance

Mathematics Subject Classification ID

Cryptography (94A60) Orthogonal arrays, Latin squares, Room squares (05B15) Loops, quasigroups (20N05) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (2)

Constructing $8$-bit permutations, $8$-bit involutions and $8$-bit orthomorphisms with almost optimal cryptographic parameters ⋮ The limited deficit method and the problem of constructing orthomorphisms and almost orthomorphisms of abelian groups

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