Extension theorems for various weight functions over Frobenius bimodules

DOI10.1142/S0219498818500524zbMath1412.94230arXiv1611.01141MaRDI QIDQ3133330

Heide Gluesing-Luerssen, Tefjol Pllaha

Publication date: 13 February 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1611.01141

zbMATH Keywords

weight functionscodesextension propertyFrobenius bimodules

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Linear codes (general theory) (94B05) Quasi-Frobenius rings (16L60)

Related Items (2)

Symplectic isometries of stabilizer codes ⋮ Some remarks on non projective Frobenius algebras and linear codes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On extendability of additive code isometries
• Partitions of Frobenius rings induced by the homogeneous weight
• MacWilliams extension theorems and the local-global property for codes over Frobenius rings
• Groups of linear isometries on poset structures
• A field-like property of finite rings
• On admissible rings
• Codes for the \(m\)-metric
• On the equivalence of codes over finite rings
• Codes with a poset metric
• Relative one-weight linear codes
• Fourier-reflexive partitions and MacWilliams identities for additive codes
• On linear codes with large weights simultaneously for the Rosenbloom-Tsfasman and Hamming metrics
• The Extension Theorem with Respect to Symmetrized Weight Compositions
• A Classification of Posets Admitting the MacWilliams Identity
• FOUNDATIONS OF LINEAR CODES DEFINED OVER FINITE MODULES: THE EXTENSION THEOREM AND THE MACWILLIAMS IDENTITIES
• Duality for modules over finite rings and applications to coding theory
• FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES
• Über I‐reguläre Ringe, reguläre Ideale und Erklärungsmoduln. I
• Characterization of finite Frobenius rings

This page was built for publication: Extension theorems for various weight functions over Frobenius bimodules