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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2021, Volume 18, Issue 1, Pages 561–578
DOI: https://doi.org/10.33048/semi.2021.18.041 (Mi semr1381) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Discrete mathematics and mathematical cybernetics

Connections between quaternary and Boolean bent functions

N. N. Tokarevaa, A. S. Shaporenkob, P. Soléc

a Sobolev Institute of Mathematics, 4, Koptyuga ave., Novosibirsk, 630090, Russia
b Novosibirsk State University, 2, Pirogova str., Novosibirsk, 630090, Russia
c I2M, CNRS, Aix-Marseille University, Centrale Marseille, Marseilles, France
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DOI: https://doi.org/10.33048/semi.2021.18.041
Abstract: Boolean bent functions were introduced by Rothaus (1976) as combinatorial objects related to difference sets, and have since enjoyed a great popularity in symmetric cryptography and low correlation sequence design. In this paper connections between classical Boolean bent functions, generalized Boolean bent functions and quaternary bent functions are studied. We also study Gray images of bent functions and notions of generalized nonlinearity for functions that are relevant to generalized linear cryptanalysis.
Keywords: Boolean functions, generalized Boolean functions, quaternary functions, bent functions, semi bent functions, nonlinearity, linear cryptanalysis, Gray map, $\mathbb{Z}_4$-linear codes.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
The work of the first and the second authors was supported by Mathematical Center in Akademgorodok under agreement No. 075-15-2019-1613 with the Ministry of Science and Higher Education of the Russian Federation and Laboratory of Cryptography JetBrains Research.
Received October 5, 2020, published May 26, 2021
Bibliographic databases:
Document Type: Article
UDC: 519.7
MSC: 06E30, 11T71, 14G50
Language: English
Citation: N. N. Tokareva, A. S. Shaporenko, P. Solé, “Connections between quaternary and Boolean bent functions”, Sib. Èlektron. Mat. Izv., 18:1 (2021), 561–578
Citation in format AMSBIB
\Bibitem{TokShaSol21}
\by N.~N.~Tokareva, A.~S.~Shaporenko, P.~Sol\'e
\paper Connections between quaternary and Boolean bent functions
\jour Sib. \`Elektron. Mat. Izv.
\yr 2021
\vol 18
\issue 1
\pages 561--578
\mathnet{http://mi.mathnet.ru/semr1381}
\crossref{https://doi.org/10.33048/semi.2021.18.041}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000674347300001}
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  • https://www.mathnet.ru/eng/semr/v18/i1/p561
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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