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A basic exact sequence for the Lee and Euclidean weights of linear codes over \(\mathbb{Z}_l\)

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Publication:1124920
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DOI10.1016/S0024-3795(99)00125-1zbMath0982.94025MaRDI QIDQ1124920

Shiromoto, Keisuke

Publication date: 29 November 1999

Published in: Linear Algebra and its Applications (Search for Journal in Brave)


zbMATH Keywords

Euclidean weightslinear codesMacWilliams identitiessupportLee weightEuclidean weight enumeratorsSingleton bounds


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65)


Related Items (8)

On rank and MDR cyclic and negacyclic codes of length \(p^k\) over \(\mathbb Z_{p^m}\) ⋮ On Rank and MDR Cyclic Codes of Length $$2^k$$ 2 k Over $$Z_8$$ Z 8 ⋮ ACD codes over \(\mathbb{Z}_2 \mathcal{R}\) and the MacWilliams identities ⋮ Codes with the rank metric and matroids ⋮ A MacWilliams type identity on Lee weight for linear codes over \(\mathbb F_2 + u\mathbb F_2^\ast\) ⋮ Singleton bounds for \(R\)-additive codes ⋮ MacWilliams type identities on the Lee and Euclidean weights for linear codes over \(\mathbb{Z}_\ell\) ⋮ A note on a basic exact sequence for the Lee and Euclidean weights of linear codes over \(\mathbb{Z}_\ell\)







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