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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2023, Volume 14, Issue 2, Pages 43–58
DOI: https://doi.org/10.4213/mvk437 (Mi mvk437) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Proper families of functions and their applications

A. V. Galatenkoa, V. A. Nosova, A. E. Pankratieva, K. D. Tsaregorodtsevab

a Lomonosov Moscow State University, Moscow
b JSC «NPK «Kryptonite», Moscow
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DOI: https://doi.org/10.4213/mvk437
Abstract: Proper families of functions provide a convenient and memory-efficient method for specification of large parametric families of quasigroups and $d$-quasigroups of large order. We present a number of examples of proper families, outline connections between proper families and quasigroups or $d$-quasigroups, discuss equivalent definitions of properness and various operations on proper families, analyze the complexity of deciding properness and study possible configurations of essential dependence inside proper families.
Key words: proper family of functions, quasigroup, $d$-quasigroup, Latin square.
Received 02.IX.2022
Document Type: Article
UDC: 512.548.7+519.716.325
Language: English
Citation: A. V. Galatenko, V. A. Nosov, A. E. Pankratiev, K. D. Tsaregorodtsev, “Proper families of functions and their applications”, Mat. Vopr. Kriptogr., 14:2 (2023), 43–58
Citation in format AMSBIB
\Bibitem{GalNosPan23}
\by A.~V.~Galatenko, V.~A.~Nosov, A.~E.~Pankratiev, K.~D.~Tsaregorodtsev
\paper Proper families of functions and their applications
\jour Mat. Vopr. Kriptogr.
\yr 2023
\vol 14
\issue 2
\pages 43--58
\mathnet{http://mi.mathnet.ru/mvk437}
\crossref{https://doi.org/10.4213/mvk437}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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