Prikladnaya Diskretnaya Matematika. Supplement
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Prikl. Diskr. Mat. Suppl.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Prikladnaya Diskretnaya Matematika. Supplement, 2021, Issue 14, Pages 40–42
DOI: https://doi.org/10.17223/2226308X/14/5
(Mi pdma525)
 

This article is cited in 2 scientific papers (total in 2 papers)

Discrete Functions

$\mathrm{S}$-blocks with maximum component algebraic immunity on a small number of variables

D. A. Zyubinaab, N. N. Tokarevaacb

a JetBrains Research
b Novosibirsk State University
c Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (557 kB) Citations (2)
References:
Abstract: Let $\pi$ be a permutation on $ n $ elements, $f$ be a Boolean function in $n$ variables. Define a vector Boolean function $F_\pi:\mathbb{F}_2^n\rightarrow\mathbb{F}_2^n$ as $F_\pi(x) = (f(x), f(\pi(x)), \cdots, f (\pi^{n-1}(x))))$. In this paper, we study the component algebraic immunity of the vector Boolean function $F_\pi$ as a function of the Boolean function $f$ and the permutation $\pi$ for $n = 3, 4, 5$. We obtain complete sets of Boolean and, partly, vector Boolean functions with maximum algebraic immunity in $3, 4$ and $5$ variables. If the function $F_\pi$ has maximum algebraic immunity, then the permutation $\pi$ is full cycle.
Keywords: Boolean function, vector Boolean function, algebraic immunity, component algebraic immunity.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0018
Document Type: Article
UDC: 519.7
Language: Russian
Citation: D. A. Zyubina, N. N. Tokareva, “$\mathrm{S}$-blocks with maximum component algebraic immunity on a small number of variables”, Prikl. Diskr. Mat. Suppl., 2021, no. 14, 40–42
Citation in format AMSBIB
\Bibitem{ZyuTok21}
\by D.~A.~Zyubina, N.~N.~Tokareva
\paper $\mathrm{S}$-blocks with maximum component algebraic immunity on a small number of variables
\jour Prikl. Diskr. Mat. Suppl.
\yr 2021
\issue 14
\pages 40--42
\mathnet{http://mi.mathnet.ru/pdma525}
\crossref{https://doi.org/10.17223/2226308X/14/5}
Linking options:
  • https://www.mathnet.ru/eng/pdma525
  • https://www.mathnet.ru/eng/pdma/y2021/i14/p40
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Prikladnaya Diskretnaya Matematika. Supplement
    Statistics & downloads:
    Abstract page:171
    Full-text PDF :66
    References:28
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024