Singleton bounds for codes over finite rings

DOI10.1023/A:1008767703006zbMath0979.94052MaRDI QIDQ5926296

Shiromoto, Keisuke

Publication date: 21 February 2002

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

Euclidean weightsgeneral weight functionHamming weightsLee weightsquasi-Froebenius ringSingleton bound

Mathematics Subject Classification ID

Quasi-Frobenius rings (16L60) Bounds on codes (94B65)

Related Items

Density of free modules over finite chain rings ⋮ Bounds in the Lee metric and optimal codes ⋮ Codes over an infinite family of rings with a Gray map ⋮ On maximum Lee distance codes ⋮ MDS and self-dual codes over rings ⋮ Structure of linear codes over the ring \(B_k\) ⋮ On the linear codes over the ring Z₄+v₁Z₄+...+v_{t}Z₄

Cites Work

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• Über die Identität von MacWilliams für die Gewichtsfunktion von Codes
• A new MacWilliams type identity for linear codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes