Multivariable codes over finite chain rings: semisimple codes

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The 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.
Submitted to SIAM Journal on Discrete Mathematics

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Combinatorics, Rings and Algebras, 11T71, 13M10, 94B99

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http://salesiana.dossiersoluciones.com/handle/123456789/75292

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0505491
 http://arxiv.org/abs/math/0505491

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arXiv