Notes on linear codes over finite commutative chain rings

DOI10.1007/s10255-011-0047-0zbMath1207.94077OpenAlexW2163525304MaRDI QIDQ628641

Zi-Hui Liu

Publication date: 14 March 2011

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-011-0047-0

zbMATH Keywords

weight hierarchiesfinite chain ringsAMDS codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (2)

Group algebras and coding theory ⋮ Cyclic codes of length \(2p^n\) over finite chain rings

Cites Work

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• Ring geometries, two-weight codes, and strongly regular graphs
• A Griesmer bound for linear codes over finite quasi-Frobenius rings
• Cyclic and Negacyclic Codes Over Finite Chain Rings
• Generalized Hamming weights for linear codes
• Duality for modules over finite rings and applications to coding theory
• On the generalized Hamming weights of product codes
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Code equivalence characterizes finite Frobenius rings

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