RUS
ENG
Full version
JOURNALS
// Prikladnaya Diskretnaya Matematika. Supplement
// Archive
Prikl. Diskr. Mat. Suppl.,
2016
Issue 9,
Pages
30–32
(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
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.
UDC:
519.7
DOI:
10.17223/2226308X/9/12
Fulltext:
PDF file (550 kB)
References
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Steklov Math. Inst. of RAS
, 2024