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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 771–776
(Mi semr522)
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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
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
Citation:
E. V. Gorkunov, E. V. Sotnikova, “On linear rigidity of a class of codes”, Sib. Èlektron. Mat. Izv., 11 (2014), 771–776
Linking options:
https://www.mathnet.ru/eng/semr522 https://www.mathnet.ru/eng/semr/v11/p771
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Abstract page: | 402 | Full-text PDF : | 52 | References: | 26 |
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