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. Suppl., 2014, no. 7, 22

Prikladnaya Diskretnaya Matematika. Supplement

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Prikladnaya Diskretnaya Matematika. Supplement, 2014, Issue 7, Pages 22–24 (Mi pdma155)

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

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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. The notion of completely affine decomposable Boolean function is introduced. It is proven 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. Suppl., 2014, no. 7, 22–24

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. Suppl.

\yr 2014

\issue 7

\pages 22--24

\mathnet{http://mi.mathnet.ru/pdma155}

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https://www.mathnet.ru/eng/pdma/y2014/i7/p22

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

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

Prikladnaya Diskretnaya Matematika. Supplement

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Full-text PDF :	78
References:	23

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