The Extension Theorem with Respect to Symmetrized Weight Compositions

DOI10.1007/978-3-319-17296-5_18zbMath1398.94213OpenAlexW2293926692MaRDI QIDQ3460463

Noha Elgarem, Jay A. Wood, Nefertiti Megahed

Publication date: 7 January 2016

Published in: Coding Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-17296-5_18

zbMATH Keywords

extension theoremsymmetrized weight compositionlinear codes over finite modules

Mathematics Subject Classification ID

Linear codes (general theory) (94B05)

Related Items (5)

When the extension property does not hold ⋮ Two approaches to the extension problem for arbitrary weights over finite module alphabets ⋮ On modules with cyclic socle ⋮ Extension theorems for various weight functions over Frobenius bimodules ⋮ MacWilliams extension property for arbitrary weights on linear codes over module alphabets

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• 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
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• FINITE QUASI-FROBENIUS MODULES AND LINEAR CODES
• Code equivalence characterizes finite Frobenius rings

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