Diskretnyi Analiz i Issledovanie Operatsii
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find




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

Diskretnyi Analiz i Issledovanie Operatsii, 2014, Volume 21, Issue 2, Pages 52–58 (Mi da766)  
This article is cited in 2 scientific papers (total in 2 papers)

A threshold property of quadratic Boolean functions

N. A. Kolomeec

S. L. Sobolev Institute of Mathematics, SB RAS, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
Full-text PDF (221 kB) Citations (2)
References:
PDF
HTML
Abstract: Let $f$ be a Boolean function in $n$ variables and for any affine subspace $L$ of dimension $\lceil n/2\rceil$ either $f$ is affine on all shifts of $L$ or $f$ is not affine on any shift of $L$. It is proved that the algebraic degree of $f$ can be more than 2 only if there is no affine subspace of dimension $\lceil n/2\rceil$ that $f$ is affine on. Bibliogr. 8.
Keywords: Boolean function, quadratic Boolean function, bent function.
Received: 09.07.2013
Revised: 24.12.2013
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 83–87
DOI: https://doi.org/10.1134/S1990478915010093
Bibliographic databases:
Document Type: Article
UDC: 519.7
Language: Russian
Citation: N. A. Kolomeec, “A threshold property of quadratic Boolean functions”, Diskretn. Anal. Issled. Oper., 21:2 (2014), 52–58; J. Appl. Industr. Math., 9:1 (2015), 83–87
Citation in format AMSBIB
\Bibitem{Kol14}
\by N.~A.~Kolomeec
\paper A threshold property of quadratic Boolean functions
\jour Diskretn. Anal. Issled. Oper.
\yr 2014
\vol 21
\issue 2
\pages 52--58
\mathnet{http://mi.mathnet.ru/da766}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3241787}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 1
\pages 83--87
\crossref{https://doi.org/10.1134/S1990478915010093}
Linking options:
  • https://www.mathnet.ru/eng/da766
  • https://www.mathnet.ru/eng/da/v21/i2/p52
    • 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
    		Дискретный анализ и исследование операций
    Statistics & downloads:
    Abstract page:297
    Full-text PDF :102
    References:46
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024