New bounds for codes over finite Frobenius rings

被引：0
|
作者：
Eimear Byrne
Marcus Greferath
Axel Kohnert
Vitaly Skachek
机构：
[1] University College Dublin,School of Mathematical Sciences
[2] University of Bayreuth,Department of Mathematics
[3] Nanyang Technological University,undefined
来源：
Designs, Codes and Cryptography | 2010年 / 57卷
关键词：
Codes over rings; Finite Frobenius rings; Homogeneous weights; Plotkin and Singleton bounds; 94B65; 16L60; 05E99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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 (Greferath and O’Sullivan, Discr Math 289:11–24, 2004) and suggests a version of a Singleton bound. We also present some families of codes meeting these new bounds.
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页码：169 / 179
页数：10
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