New metrics on linear codes over Fq [u]/(ut)
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.
| Autor Principal: | Alfaro, Ricardo |
|---|---|
| Formato: | Artículo |
| Idioma: | spa |
| Publicado: |
Pontificia Universidad Católica del Perú
2014
|
| Materias: | |
| Acceso en línea: |
http://revistas.pucp.edu.pe/index.php/promathematica/article/view/10251/10696 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| Sumario: |
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. |
|---|