Return to search

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.

Identiferoai:union.ndltd.org:PUCP/oai:tesis.pucp.edu.pe:123456789/95073
Date25 September 2017
CreatorsAlfaro, Ricardo
PublisherPontificia Universidad Católica del Perú
Source SetsPontificia Universidad Católica del Perú
LanguageEspañol
Detected LanguageEnglish
TypeArtículo
FormatPDF
SourcePro Mathematica; Vol. 21, Núm. 41-42 (2007); 145-153
RightsArtículo en acceso abierto, Attribution 4.0 International, https://creativecommons.org/licenses/by/4.0/

Page generated in 0.0023 seconds