Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2012, Issue 5, Page 30 (Mi pdma59)  

This article is cited in 1 scientific paper (total in 1 paper)

Theoretical Foundations of Applied Discrete Mathematics

On decomposition of a Boolean function into sum of bent functions

N. N. Tokareva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (363 kB) Citations (1)
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Abstract: In the paper, some new results on bent sum decomposition problem are discussed. It is proved that any Boolean function in $n$ variables of degree $d\leq n/2$ can be represented as the sum of not more than $2{2b\choose b}$ bent functions, where $b\geq d$ and $b$ is the least integer such that $2b|n$.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. N. Tokareva, “On decomposition of a Boolean function into sum of bent functions”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 30
Citation in format AMSBIB
\Bibitem{Tok12}
\by N.~N.~Tokareva
\paper On decomposition of a~Boolean function into sum of bent functions
\jour Prikl. Diskr. Mat. Suppl.
\yr 2012
\issue 5
\pages 30
\mathnet{http://mi.mathnet.ru/pdma59}
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  • https://www.mathnet.ru/eng/pdma/y2012/i5/p30
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Prikladnaya Diskretnaya Matematika. Supplement
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    Full-text PDF :148
    References:47
     
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