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

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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 1 scientific paper (total in 1 paper)

Proper families of functions and their applications

A. V. Galatenko^a, V. A. Nosov^a, A. E. Pankratiev^a, K. D. Tsaregorodtsev^ab

^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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https://doi.org/10.4213/mvk437

https://www.mathnet.ru/eng/mvk/v14/i2/p43

This publication is cited in the following 1 articles:

A. V. Galatenko, A. E. Pankratiev, K. D. Tsaregorodtsev, “A criterion of properness for a family of functions”, J. Math. Sci., 284:4 (2024), 451–459

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

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Full-text PDF :	65
References:	43
First page:	10

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