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, 1988, Volume 24, Issue 1, Pages 11–24 (Mi ppi682)  
Information Theory and Coding Theory

On the Number of Minimum-Weight Words in Block Codes

A. A. Davydov, L. M. Tombak
Full-text PDF (1589 kB)
Abstract: Lower bounds on the number of minimum distances are considered for arbitrary block codes of given length, size, and base. These are lower bounds on the number of minimal-weight words for distance-invariant codes containing the null word. We apply the notion of uniformly packed code and MacWilliams's transform of the distance distribution of a code to derive the conditions when these bounds are attainable. Examples of codes attaining this bound are given.
Received: 17.12.1985
Revised: 30.07.1986
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: A. A. Davydov, L. M. Tombak, “On the Number of Minimum-Weight Words in Block Codes”, Probl. Peredachi Inf., 24:1 (1988), 11–24; Problems Inform. Transmission, 24:1 (1988), 7–18
Citation in format AMSBIB
\Bibitem{DavTom88}
\by A.~A.~Davydov, L.~M.~Tombak
\paper On the Number of Minimum-Weight Words in Block Codes
\jour Probl. Peredachi Inf.
\yr 1988
\vol 24
\issue 1
\pages 11--24
\mathnet{http://mi.mathnet.ru/ppi682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=939570}
\zmath{https://zbmath.org/?q=an:0675.94019|0657.94013}
\transl
\jour Problems Inform. Transmission
\yr 1988
\vol 24
\issue 1
\pages 7--18
Linking options:
  • https://www.mathnet.ru/eng/ppi682
  • https://www.mathnet.ru/eng/ppi/v24/i1/p11
    • 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024