MacWilliams' extension theorem for bi-invariant weights over finite principal ideal rings

DOI10.1016/j.jcta.2014.03.005zbMath1302.94066arXiv1309.3292OpenAlexW2963430254MaRDI QIDQ2451899

Thomas Honold, Cathy Mc Fadden, Marcus Greferath, Jay A. Wood, Jens Zumbrägel

Publication date: 26 May 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.3292

zbMATH Keywords

Möbius functionlinear codeextension theoremFrobenius ringprincipal ideal ring

Mathematics Subject Classification ID

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

Related Items

A transform approach to polycyclic and serial codes over rings, Induced weights on quotient modules and an application to error correction in coherent networks, The Extension Theorem with Respect to Symmetrized Weight Compositions, Isometry groups of additive codes over finite fields, Unnamed Item, The extension theorem for Lee and Euclidean weight codes over integer residue rings, MacWilliams' extension theorem for rank-metric codes, When the extension property does not hold, Two approaches to the extension problem for arbitrary weights over finite module alphabets, The extension theorem for bi-invariant weights over Frobenius rings and Frobenius bimodules, Theory of supports for linear codes endowed with the sum-rank metric, MacWilliams extension property for arbitrary weights on linear codes over module alphabets

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