Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography]
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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2014, Volume 5, Issue 2, Pages 79–85
DOI: https://doi.org/10.4213/mvk119 (Mi mvk119) 		 
On a property of quadratic Boolean functions

N. A. Kolomeec

Sobolev Institute of Mathematics SB RAS, Novosibirsk
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DOI: https://doi.org/10.4213/mvk119
Abstract: Let a Boolean function $f$ in $2k$ variables be affine on an affine subspace of dimension $k$ if and only if $f$ is affine on any its shift. Then it is proved that algebraic degree of $f$ may be more than 2 only if there is no affine subspace of dimension $k$ that $f$ is affine on it.
Key words: Boolean functions, bent functions, quadratic functions.
Received 25.IX.2013
Document Type: Article
UDC: 519.716.5+519.719.2
Language: English
Citation: N. A. Kolomeec, “On a property of quadratic Boolean functions”, Mat. Vopr. Kriptogr., 5:2 (2014), 79–85
Citation in format AMSBIB
\Bibitem{Kol14}
\by N.~A.~Kolomeec
\paper On a~property of quadratic Boolean functions
\jour Mat. Vopr. Kriptogr.
\yr 2014
\vol 5
\issue 2
\pages 79--85
\mathnet{http://mi.mathnet.ru/mvk119}
\crossref{https://doi.org/10.4213/mvk119}
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