Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
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


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 771–776 (Mi semr522)  
This article is cited in 1 scientific paper (total in 1 paper)

Discrete mathematics and mathematical cybernetics

On linear rigidity of a class of codes

E. V. Gorkunovab, E. V. Sotnikovaa

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Full-text PDF (477 kB) Citations (1)
References:
PDF
HTML
Abstract: In this paper a notion of linear rigidity of codes is introduced and discussed. We recall several examples of codes those are linearly rigid as well as those are not. Linear rigidity of MDS-codes with minimum distance 2 in the vector space over the prime field is proved.
Keywords: linear code, MDS-code, linear rigidity of codes, code automorphism, code symmetry, prime field, finite field.
Received October 3, 2014, published October 16, 2014
Document Type: Article
UDC: 519.725
MSC: 11T71, 94B05
Language: Russian
Citation: E. V. Gorkunov, E. V. Sotnikova, “On linear rigidity of a class of codes”, Sib. Èlektron. Mat. Izv., 11 (2014), 771–776
Citation in format AMSBIB
\Bibitem{GorSot14}
\by E.~V.~Gorkunov, E.~V.~Sotnikova
\paper On linear rigidity of a class of codes
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 771--776
\mathnet{http://mi.mathnet.ru/semr522}
Linking options:
  • https://www.mathnet.ru/eng/semr522
  • https://www.mathnet.ru/eng/semr/v11/p771
    • 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
    Statistics & downloads:
    Abstract page:421
    Full-text PDF :61
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024