Title
New bounds for codes over finite Frobenius rings
Abstract
We give 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.
Year
DOI
Venue
2010
10.1007/s10623-009-9359-y
Des. Codes Cryptography
Keywords
Field
DocType
Codes over rings,Finite Frobenius rings,Homogeneous weights,Plotkin and Singleton bounds,94B65,16L60,05E99
Plotkin bound,Discrete mathematics,Combinatorics,Homogeneous,Block code,Linear code,Frobenius algebra,Mathematics,Singleton bound
Journal
Volume
Issue
ISSN
57
2
0925-1022
Citations 
PageRank 
References 
6
0.53
5
Authors
4
Name
Order
Citations
PageRank
Eimear Byrne121319.76
Marcus Greferath27411.09
Axel Kohnert311412.60
Vitaly Skachek417021.62