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Prikladnaya Diskretnaya Matematika. Supplement, 2016, Issue 9, Pages 30–32
DOI: https://doi.org/10.17223/2226308X/9/12 (Mi pdma292) 		 
Discrete Functions

Necessary condition for maximum component algebraic immunity of a vectorial Boolean function

D. P. Pokrasenko

Faculty of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/9/12
Abstract: It is shown that if a vectorial Boolean function $F\colon\mathbb Z_2^n\to\mathbb Z_2^m$ has the maximum component algebraic immunity, then $m\leq2^{\lceil({n+1})/2\rceil}-1$.
Keywords: component algebraic immunity, vectorial Boolean function.
Funding agency Grant number
Russian Foundation for Basic Research 15-31-20635
Document Type: Article
UDC: 519.7
Language: Russian
Citation: D. P. Pokrasenko, “Necessary condition for maximum component algebraic immunity of a vectorial Boolean function”, Prikl. Diskr. Mat. Suppl., 2016, no. 9, 30–32
Citation in format AMSBIB
\Bibitem{Pok16}
\by D.~P.~Pokrasenko
\paper Necessary condition for maximum component algebraic immunity of a~vectorial Boolean function
\jour Prikl. Diskr. Mat. Suppl.
\yr 2016
\issue 9
\pages 30--32
\mathnet{http://mi.mathnet.ru/pdma292}
\crossref{https://doi.org/10.17223/2226308X/9/12}
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