New metrics on linear codes over Fq [u]/(ut)

Ricardo Alfaro

New metrics on linear codes over Fq [u]/(ut)

Autores/as

Ricardo Alfaro University of Michigan-Flint

Palabras clave:

linear Codes, gray map, codes over rings

Resumen

We define new metrics for linear codes over the ring Fq[u]/(ut) via an Fq-module monomorphism on linear codes over Fq. The construction generalizes the Gray map, Gray weight, and Lee weight; and the technique allows us to find some new optimal linear codes and their weight enumerator polynomial.

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Publicado

2007-09-07

Cómo citar

Alfaro, R. (2007). New metrics on linear codes over Fq [u]/(ut). Pro Mathematica, 21(41-42), 145–153. Recuperado a partir de https://revistas.pucp.edu.pe/index.php/promathematica/article/view/10251