Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2015, Issue 8, Pages 51–53
DOI: https://doi.org/10.17223/2226308X/8/19 (Mi pdma245) 		 
Discrete Functions

On properties of the set of values of an arbitrary vector Boolean function

G. I. Shushuev

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/8/19
Abstract: For an arbitrary vector Boolean function $F\colon\mathbb F_2^n\to\mathbb F_2^n$, some sufficient conditions that $\{F(x)\oplus F(x\oplus a)\colon x,a\in\mathbb F_2^n\}=\mathbb F_2^n$ are stated. This result is applied to researching metrical properties of APN functions.
Keywords: vector Boolean function, differentially $\delta$-uniform function, APN function.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: G. I. Shushuev, “On properties of the set of values of an arbitrary vector Boolean function”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 51–53
Citation in format AMSBIB
\Bibitem{Shu15}
\by G.~I.~Shushuev
\paper On properties of the set of values of an arbitrary vector Boolean function
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 51--53
\mathnet{http://mi.mathnet.ru/pdma245}
\crossref{https://doi.org/10.17223/2226308X/8/19}
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