Fourier-reflexive partitions and MacWilliams identities for additive codes

DOI10.1007/s10623-014-9940-xzbMath1361.94050arXiv1304.1207OpenAlexW2171812691MaRDI QIDQ2345927

Heide Gluesing-Luerssen

Publication date: 21 May 2015

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.1207

zbMATH Keywords

partitionsdualizationweight enumeratorsposet structures

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Quasi-Frobenius rings (16L60) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (10)

The homogeneous weight partition and its character-theoretic dual ⋮ Rank-metric codes and their duality theory ⋮ Duality of codes supported on regular lattices, with an application to enumerative combinatorics ⋮ Partitions of matrix spaces with an application to \(q\)-rook polynomials ⋮ Partitions of Frobenius rings induced by the homogeneous weight ⋮ MacWilliams extension theorems and the local-global property for codes over Frobenius rings ⋮ Characterization of \(p\)-ary functions in terms of association schemes and its applications ⋮ Invariant metrics on finite groups ⋮ Extension theorems for various weight functions over Frobenius bimodules ⋮ Association schemes on general measure spaces and zero-dimensional abelian groups

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