Isometry groups of combinatorial codes

DOI10.1142/S0219498818501141zbMath1445.94040OpenAlexW3098867690MaRDI QIDQ4563586

Serhii Dyshko

Publication date: 1 June 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498818501141

zbMATH Keywords

extension theoremcode isometrycode automorphismclosed group with respect to an actiongroup of code automorphismsmonomial code automorphism

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Combinatorial codes (94B25)

Cites Work

• On metric rigidity for some classes of codes
• On the extendability of code isometries
• To the metrical rigidity of binary codes
• On the concept of code-isomorphy
• On the equivalence of codes over rings and modules
• The structure of linear codes of constant weight
• FOUNDATIONS OF LINEAR CODES DEFINED OVER FINITE MODULES: THE EXTENSION THEOREM AND THE MACWILLIAMS IDENTITIES
• Isometry groups of additive codes over finite fields
• FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES
• Code equivalence characterizes finite Frobenius rings
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