Multivariable codes over finite chain rings: semisimple codes

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dc.creatorMartinez-Moro, E.
dc.creatorRua, I. F.
dc.date2005-05-24
dc.date.accessioned2026-07-07T05:20:12Z
dc.date.available2026-07-07T05:20:12Z
dc.descriptionThe structure of multivariate semisimple codes over a finite chain ring $R$ is established using the structure of the residue field $\bar R$. Multivariate codes extend in a natural way the univariate cyclic and negacyclic codes and include some non-trivial codes over $R$. The structure of the dual codes in the semisimple abelian case is also derived and some conditions on the existence of selfdual codes over $R$ are studied.
dc.descriptionSubmitted to SIAM Journal on Discrete Mathematics
dc.identifierhttps://arxiv.org/abs/math/0505491
dc.identifierhttp://arxiv.org/abs/math/0505491
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75292
dc.subjectCombinatorics
dc.subjectRings and Algebras
dc.subject11T71, 13M10, 94B99
dc.titleMultivariable codes over finite chain rings: semisimple codes
dc.typetext

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