Refined bounds for ring-linear codes

Titelangaben

Byrne, Eimear ; Greferath, Marcus ; Kohnert, Axel ; Skachek, Vitaly:
Refined bounds for ring-linear codes.
In: International Workshop on Optimal Codes and Related Topics : proceedings. - Varna, Bulgaria , 2009 . - S. 55-61

Volltext

Link zum Volltext (externe URL):

Abstract

We give further results on the question of code optimality for linear codes over finite Frobenius rings for the homogeneous weight. This article improves on the existing Plotkin bound derived in an earlier paper [4], and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.