Prikladnaya Diskretnaya Matematika. Supplement
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Prikladnaya Diskretnaya Matematika. Supplement, 2015, Issue 8, Pages 37–39
DOI: https://doi.org/10.17223/2226308X/8/15 (Mi pdma246) 		 
Discrete Functions

On algebraic immunity of vector Boolean functions

D. P. Pokrasenko

Mechanics and Mathematics Department, Novosibirsk State University, Novosibirsk
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DOI: https://doi.org/10.17223/2226308X/8/15
Abstract: In the paper, the component algebraic immunity of vector Boolean functions is studied. A theorem on a correspondence between the maximum component algebraic immunity of a function and its balancedness is proven. A relationship between the maximum component algebraic immunity and matrices of a special form is obtained. For a small number of variables, some functions with maximum component algebraic immunity are constructed.
Keywords: component algebraic immunity, vector Boolean function, balancedness.
Document Type: Article
UDC: 519.7
Language: Russian
Citation: D. P. Pokrasenko, “On algebraic immunity of vector Boolean functions”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 37–39
Citation in format AMSBIB
\Bibitem{Pok15}
\by D.~P.~Pokrasenko
\paper On algebraic immunity of vector Boolean functions
\jour Prikl. Diskr. Mat. Suppl.
\yr 2015
\issue 8
\pages 37--39
\mathnet{http://mi.mathnet.ru/pdma246}
\crossref{https://doi.org/10.17223/2226308X/8/15}
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