Problemy Peredachi Informatsii
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


Probl. Peredachi Inf.:
Year:
Volume:
Issue:
Page:
Find




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

Problemy Peredachi Informatsii, 2009, Volume 45, Issue 3, Pages 33–44 (Mi ppi1987)  
This article is cited in 18 scientific papers (total in 18 papers)

Coding Theory

Fourier-invariant pairs of partitions of finite abelian groups and association schemes

V. A. Zinovieva, T. Ericsonb

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences
b Linköping, Sweden
Full-text PDF (278 kB) Citations (18)
References:
PDF
HTML
Abstract: We consider partitions of finite abelian groups. We introduce the concept of Fourier-invariant pairs and demonstrate that this concept is equivalent to the concept of an association scheme in an abelian group. It follows that Fourier-invariant pairs of partitions might be viewed as a very natural approach to abelian association schemes.
Received: 07.10.2008
Revised: 14.05.2009
English version:
Problems of Information Transmission, 2009, Volume 45, Issue 3, Pages 221–231
DOI: https://doi.org/10.1134/S003294600903003X
Bibliographic databases:
Document Type: Article
UDC: 621.391.15+512
Language: Russian
Citation: V. A. Zinoviev, T. Ericson, “Fourier-invariant pairs of partitions of finite abelian groups and association schemes”, Probl. Peredachi Inf., 45:3 (2009), 33–44; Problems Inform. Transmission, 45:3 (2009), 221–231
Citation in format AMSBIB
\Bibitem{ZinEri09}
\by V.~A.~Zinoviev, T.~Ericson
\paper Fourier-invariant pairs of partitions of finite abelian groups and association schemes
\jour Probl. Peredachi Inf.
\yr 2009
\vol 45
\issue 3
\pages 33--44
\mathnet{http://mi.mathnet.ru/ppi1987}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2590742}
\transl
\jour Problems Inform. Transmission
\yr 2009
\vol 45
\issue 3
\pages 221--231
\crossref{https://doi.org/10.1134/S003294600903003X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000271088300003}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-70350502853}
Linking options:
  • https://www.mathnet.ru/eng/ppi1987
  • https://www.mathnet.ru/eng/ppi/v45/i3/p33
    • This publication is cited in the following 18 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Проблемы передачи информации Problems of Information Transmission
    Statistics & downloads:
    Abstract page:353
    Full-text PDF :85
    References:58
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024