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SIAM J. on Discrete Mathematics / Volume 20 / Issue 4

SIAM J. Discrete Math. 20, pp. 947-959 (13 pages)

Multivariable Codes Over Finite Chain Rings: Serial Codes

E. Martínez‐Moro and I. F. Rúa

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The structure of multivariate serial 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 nontrivial codes over $R$. The structure of the dual codes in the serial abelian case is also derived, and some conditions for the existence of self‐dual codes over $R$ are studied.

© 2006 Society for Industrial and Applied Mathematics

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KEYWORDS

AMS Subject Headings

11T71, 13M10, 94B99

PUBLICATION DATA

ISSN

0895-4801 (print)  
1095-7146 (online)

Publisher

$abstract.society.value is a Member of CrossRef Society for Industrial and Applied Mathematics

ARTICLE DATA

History
Received May 24, 2005
Accepted May 30, 2006
Published online December 11, 2006
Digital Object Identifier
http://dx.doi.org/10.1137/050632208

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