Multivariable codes over finite chain rings: semisimple codes
E. Martinez-Moro, I. F. Rua
Abstract
The structure of multivariate semisimple codes over a finite chain ring R is established using the structure of the residue field 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.
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