Multivariable codes over finite chain rings: semisimple codes
组合数学
2007-05-23 v1 环与代数
摘要
The structure of multivariate semisimple codes over a finite chain ring is established using the structure of the residue field . Multivariate codes extend in a natural way the univariate cyclic and negacyclic codes and include some non-trivial codes over . The structure of the dual codes in the semisimple abelian case is also derived and some conditions on the existence of selfdual codes over are studied.
引用
@article{arxiv.math/0505491,
title = {Multivariable codes over finite chain rings: semisimple codes},
author = {E. Martinez-Moro and I. F. Rua},
journal= {arXiv preprint arXiv:math/0505491},
year = {2007}
}
备注
Submitted to SIAM Journal on Discrete Mathematics