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Prikl. Diskr. Mat. Suppl., 2012, Issue 5, Pages 23–25 (Mi pdma45)  

Theoretical Foundations of Applied Discrete Mathematics

On almost balanced Boolean functions

V. N. Potapov

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

Abstract: A Boolean function is called correlation-immune of degree $n-m$ if it takes the value $1$ the same number of times for each $m$-dimensional face of the hypercube. Balanced correlation-immune function is called resilient. The almost balanced (or almost resilient) Boolean function is defined as a function taking values $1$ in a half or in a half plus or minus one of vertices in each face. Here, some constructions of almost balanced functions are proposed, some properties and a low bound for the number of these functions are established.

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Document Type: Article
UDC: 519.14

Citation: V. N. Potapov, “On almost balanced Boolean functions”, Prikl. Diskr. Mat. Suppl., 2012, no. 5, 23–25

Citation in format AMSBIB
\Bibitem{Pot12}
\by V.~N.~Potapov
\paper On almost balanced Boolean functions
\jour Prikl. Diskr. Mat. Suppl.
\yr 2012
\issue 5
\pages 23--25
\mathnet{http://mi.mathnet.ru/pdma45}


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