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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1346–1368
DOI: https://doi.org/10.17377/semi.2016.13.105 (Mi semr755) 		 
This article is cited in 2 scientific papers (total in 3 papers)

Discrete mathematics and mathematical cybernetics

On plateaued Boolean functions with the same spectrum support

A. V. Khalyavina, M. S. Lobanovb, Yu. V. Tarannikovb

a Yandex, 16, Leo Tolstoy St., 119021, Moscow, Russia
b Mech. & Math. Department, Lomonosov Moscow State University, 119992, Moscow, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.105
Abstract: In the first half of the paper we give a brief review of plateaued functions, regular functions and related topics including connections with problems on subgraphs of the Hamming graph. In the second half of the paper we discover wide infinite families of spectrum supports for which it is possible to count the number of plateaued Boolean functions with such spectrum supports and give corresponding formulas; only one infinite sequence of such spectrum supports was known before.
Keywords: plateaued functions, Boolean functions, Walsh Spectrum, Fourier spectrum, spectra, spectrum support, spectral analysis, regular functions, correlation immune functions, $m$-resilient functions, address function, recursive constructions, Hamming graph, regular graphs, equitable partitions, symmetries.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00226_а
The work of the third author is supported by RFBR, grant 16–01–00226.
Received November 7, 2016, published December 26, 2016
Bibliographic databases:
Document Type: Article
UDC: 519.115.4
MSC: 06E30
Language: English
Citation: A. V. Khalyavin, M. S. Lobanov, Yu. V. Tarannikov, “On plateaued Boolean functions with the same spectrum support”, Sib. Èlektron. Mat. Izv., 13 (2016), 1346–1368
Citation in format AMSBIB
\Bibitem{KhaLobTar16}
\by A.~V.~Khalyavin, M.~S.~Lobanov, Yu.~V.~Tarannikov
\paper On plateaued Boolean functions with the same spectrum support
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1346--1368
\mathnet{http://mi.mathnet.ru/semr755}
\crossref{https://doi.org/10.17377/semi.2016.13.105}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000407781100105}
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