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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
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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}
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