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, 2013, Volume 20, Issue 4, Pages 46–64 (Mi da739)  
This article is cited in 1 scientific paper (total in 1 paper)

Steiner quadruple systems of small ranks and extended perfect binary codes

D. I. Kovalevskayaa, F. I. Solov'evaba

a Sobolev Institute of Mathematics, 4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
b Novosibirsk State University, 2 Pirogov St., 630090 Novosibirsk, Russia
Full-text PDF (333 kB) Citations (1)
References:
PDF
HTML
Abstract: Using the switching method, we give a classification of Steiner quadruple systems of order $N>8$ and rank $r_N$ (different by 2 from the rank of the Hamming code of length $N$) which are embedded into extended perfect binary codes of length $N$ and the same rank. Lower and upper bounds for the number of such different systems are provided. The lower bound and description of different Steiner quadruple systems of order $N$ and rank $r_N$ which are not embedded into extended perfect binary codes of length $N$ and the same rank are given. Tab. 4, bibliogr. 22.
Keywords: Steiner quadruple system, extended perfect binary code, switching, $il$- and $ijkl$-components, rank.
Received: 11.10.2012
Revised: 06.06.2013
English version:
Journal of Applied and Industrial Mathematics, 2013, Volume 7, Issue 4, Pages 522–536
DOI: https://doi.org/10.1134/S1990478913040078
Bibliographic databases:
Document Type: Article
UDC: 621.391.15
Language: Russian
Citation: D. I. Kovalevskaya, F. I. Solov'eva, “Steiner quadruple systems of small ranks and extended perfect binary codes”, Diskretn. Anal. Issled. Oper., 20:4 (2013), 46–64; J. Appl. Industr. Math., 7:4 (2013), 522–536
Citation in format AMSBIB
\Bibitem{KovSol13}
\by D.~I.~Kovalevskaya, F.~I.~Solov'eva
\paper Steiner quadruple systems of small ranks and extended perfect binary codes
\jour Diskretn. Anal. Issled. Oper.
\yr 2013
\vol 20
\issue 4
\pages 46--64
\mathnet{http://mi.mathnet.ru/da739}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3114912}
\transl
\jour J. Appl. Industr. Math.
\yr 2013
\vol 7
\issue 4
\pages 522--536
\crossref{https://doi.org/10.1134/S1990478913040078}
Linking options:
  • https://www.mathnet.ru/eng/da739
  • https://www.mathnet.ru/eng/da/v20/i4/p46
    Erratum
    • Letter to the Editor
      D. I. Kovalevskaya, F. I. Solov'eva
      Diskretn. Anal. Issled. Oper., 2013, 20:6, 95–96
    This publication is cited in the following 1 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:296
    Full-text PDF :83
    References:40
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024