On automorphisms of linear codes over a prime field

DOI10.17377/semi.2017.14.021zbMath1429.94072OpenAlexW3129455222MaRDI QIDQ2403676

Evgeny Vladimirovich Gorkunov, Sergei V. Avgustinovich

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://research.nsu.ru/en/publications/on-automorphisms-of-linear-codes-over-a-prime-field

zbMATH Keywords

finite fieldlinear codeprime fieldminimal codewordlinear automorphismcode automorphismgraph of minimal supportslinearly rigid code

Mathematics Subject Classification ID

Applications of graph theory (05C90) Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Linear codes (general theory) (94B05)

Related Items (1)

The Use of the Direct Sum Decomposition Algorithm for Analyzing the Strength of Some Mceliece Type Cryptosystems

Cites Work

• \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
• On linear rigidity of a class of codes
• Rough isometries and the parabolicity of Riemannian manifolds
• \(p\)-harmonic functions on graphs and manifolds
• A new proof of Gromov’s theorem on groups of polynomial growth
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
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