N. A. Kolomeec, “An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables”, Prikl. Diskr. Mat., 2014, no. 3(25), 28

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Prikladnaya Diskretnaya Matematika, 2014, Number 3(25), Pages 28–39 (Mi pdm466)

This article is cited in 14 scientific papers (total in 14 papers)

Theoretical Foundations of Applied Discrete Mathematics

An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables

N. A. Kolomeec

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia

Full-text PDF (591 kB) Citations (14)

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Abstract: An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables is obtained. The bound is reached only for quadratic bent functions. A notion of completely affine decomposable Boolean function is introduced. It is proved that only affine and quadratic Boolean functions can be completely affine decomposable.

Keywords: Boolean functions, bent functions, quadratic bent functions.

Document Type: Article

UDC: 519.7

Language: Russian

Citation: N. A. Kolomeec, “An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables”, Prikl. Diskr. Mat., 2014, no. 3(25), 28–39

Citation in format AMSBIB

\Bibitem{Kol14}

\by N.~A.~Kolomeec

\paper An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables

\jour Prikl. Diskr. Mat.

\yr 2014

\issue 3(25)

\pages 28--39

\mathnet{http://mi.mathnet.ru/pdm466}

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https://www.mathnet.ru/eng/pdm466

https://www.mathnet.ru/eng/pdm/y2014/i3/p28

Cycle of papers

An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables
N. A. Kolomeec
Prikl. Diskr. Mat. Suppl., 2014:7, 22–24
An upper bound for the number of bent functions at the distance $2^k$ from an arbitrary bent function in $2k$ variables
N. A. Kolomeec
Prikl. Diskr. Mat., 2014:3(25), 28–39

This publication is cited in the following 14 articles:

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

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Abstract page:	356
Full-text PDF :	153
References:	78

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