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

Authors

  • Ricardo Alfaro University of Michigan-Flint

Keywords:

linear Codes, gray map, codes over rings

Abstract

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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Published

2007-09-07

Issue

Vol. 21 No. 41-42 (2007)

Section

Artículos

License

Copyright (c) 2016 Pro Mathematica

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

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