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Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 2, Pages 52–58 (Mi da766)  
This article is cited in 2 scientific papers (total in 2 papers)

A threshold property of quadratic Boolean functions

N. A. Kolomeec

S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (221 kB) Citations (2)
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Abstract: Let $f$ be a Boolean function in $n$ variables and for any affine subspace $L$ of dimension $\lceil n/2\rceil$ either $f$ is affine on all shifts of $L$ or $f$ is not affine on any shift of $L$. It is proved that the algebraic degree of $f$ can be more than 2 only if there is no affine subspace of dimension $\lceil n/2\rceil$ that $f$ is affine on. Bibliogr. 8.
Keywords: Boolean function, quadratic Boolean function, bent function.
Received: 09.07.2013
Revised: 24.12.2013
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 83–87
DOI: https://doi.org/10.1134/S1990478915010093
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. A. Kolomeec, “A threshold property of quadratic Boolean functions”, Diskretn. Anal. Issled. Oper., 21:2 (2014), 52–58; J. Appl. Industr. Math., 9:1 (2015), 83–87
Citation in format AMSBIB
\Bibitem{Kol14}
\by N.~A.~Kolomeec
\paper A threshold property of quadratic Boolean functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 2
\pages 52--58
\mathnet{http://mi.mathnet.ru/da766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3241787}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 1
\pages 83--87
\crossref{https://doi.org/10.1134/S1990478915010093}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретный анализ и исследование операций
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    Full-text PDF :110
    References:55
    First page:9
     
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