Linear codes resulting from finite group actions

DOI10.22108/toc.2022.126254.1786OpenAlexW4389217221MaRDI QIDQ5104012

Driss Harzalla

Publication date: 9 September 2022

Full work available at URL: https://doaj.org/article/b2eab658c2544d6983094fac1ef3c5bb

zbMATH Keywords

group actionsHamming codessimplex codeslinear code automorphism

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Cites Work

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• Ternary self-orthogonal codes of dual distance three and ternary quantum codes of distance three
• Self-orthogonal codes with dual distance three and quantum codes with distance three over \(\mathbb F_5\)
• Weights of linear codes and strongly regular normed spaces
• PD-sets for the codes related to some classical varieties
• A Class of Two-Weight and Three-Weight Codes and Their Applications in Secret Sharing
• Automorphism groups of some AG codes
• The Geometry of Two-Weight Codes
• A large automorphism group decreases the number of computations in the construction of an optimal encoder/decoder pair for linear block code
• Fundamentals of Error-Correcting Codes
• Permutation Decoding of Systematic Codes
• Two-weight codes, partial geometries and Steiner systems

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