Sibirskii Matematicheskii Zhurnal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 1, Pages 3–13
DOI: https://doi.org/10.33048/smzh.2019.60.101 (Mi smj3054) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Lower bounds of complexity for polarized polynomials over finite fields

A. S. Baliuka, A. S. Zinchenkob

a LLC Informatics of Medicine, Irkutsk, Russia
b Irkutsk State University, Irkutsk, Russia
Full-text PDF (325 kB) Citations (3)
References:
PDF
HTML
DOI: https://doi.org/10.33048/smzh.2019.60.101
Abstract: We obtain an efficient lower bound of complexity for $n$-ary functions over a finite field of arbitrary order in the class of polarized polynomials. The complexity of a function is defined as the minimal possible number of nonzero terms in a polarized polynomial realizing the function.
Keywords: lower bound of complexity, polarized polynomial, finite field.
Received: 19.04.2018
Revised: 19.04.2018
Accepted: 17.08.2018
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 1, Pages 1–9
DOI: https://doi.org/10.1134/S0037446619010014
Bibliographic databases:
Document Type: Article
UDC: 519.714.4
Language: Russian
Citation: A. S. Baliuk, A. S. Zinchenko, “Lower bounds of complexity for polarized polynomials over finite fields”, Sibirsk. Mat. Zh., 60:1 (2019), 3–13; Siberian Math. J., 60:1 (2019), 1–9
Citation in format AMSBIB
\Bibitem{BalZin19}
\by A.~S.~Baliuk, A.~S.~Zinchenko
\paper Lower bounds of complexity for polarized polynomials over finite fields
\jour Sibirsk. Mat. Zh.
\yr 2019
\vol 60
\issue 1
\pages 3--13
\mathnet{http://mi.mathnet.ru/smj3054}
\crossref{https://doi.org/10.33048/smzh.2019.60.101}
\elib{https://elibrary.ru/item.asp?id=38687633}
\transl
\jour Siberian Math. J.
\yr 2019
\vol 60
\issue 1
\pages 1--9
\crossref{https://doi.org/10.1134/S0037446619010014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000464720000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85065253278}
Linking options:
  • https://www.mathnet.ru/eng/smj3054
  • https://www.mathnet.ru/eng/smj/v60/i1/p3
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
    Statistics & downloads:
    Abstract page:393
    Full-text PDF :46
    References:36
    First page:15
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024