Refined Bounds for Ring-Linear Codes
Axel Kohnert ; Eimear Byrne, Marcus Greferath, Vitaly Skachek
Sofia, Bulgarian Academy of Sciences, ISBN/ISSN/ISMV Nummer:1313-1117
in: Proceedings of the Sixth International Workshop on Optimal Codes and Related Topics Smart-Link: http://www.algorithm.uni-bayreuth.de/de/team/kohnert_axel/pubs_talks/oc2009.pdf
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, and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.