A generalized weight for linear codes and a Witt-MacWilliams theorems

DOI10.1016/0097-3165(80)90032-1zbMath0456.94011OpenAlexW2064861759MaRDI QIDQ1150571

Donald Y. Goldberg

Publication date: 1980

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(80)90032-1

zbMATH Keywords

Lee weightmetric vector space

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (11)

Reconstructing the ternary Golay code ⋮ Two analogues of Maillet's determinant ⋮ MacWilliams extending conditions and quasi-Frobenius rings ⋮ Note sur la notion d'équivalence entre deux codes linéaires ⋮ The Extension Theorem with Respect to Symmetrized Weight Compositions ⋮ Poids et équivalence des codes linéaires ⋮ Codes with the same Lee weight enumerator are isometric ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ When the extension property does not hold ⋮ On the concept of code-isomorphy ⋮ MacWilliams extension property for arbitrary weights on linear codes over module alphabets

Cites Work

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• An elementary proof of the MacWilliams theorem on equivalence of codes
• Binary Codes Which Are Ideals in the Group Algebra of an Abelian Group

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