Paper Info
Title
Construction of Large Constant Dimension Codes with a Prescribed Minimum Distance
Abstract
In this paper we construct constant dimension codes with prescribed minimum distance. There is an increased interest in subspace codes in general since a paper [13] by Kötter and Kschischang where they gave an application in network coding. There is also a connection to the theory of designs over finite fields. We will modify a method of Braun, Kerber and Laue [7] which they used for the construction of designs over finite fields to construct constant dimension codes. Using this approach we found many new constant dimension codes with a larger number of codewords than previously known codes. We finally give a table of the best constant dimension codes we found.
Year
DOI
Venue
2008
10.1007/978-3-540-89994-5_4
Clinical Orthopaedics and Related Research
Keywords
DocType
Volume
large constant dimension codes,prescribed minimum distance,network coding,finite field,increased interest,new constant dimension code,q-analogue of steiner systems,constant dimension code,larger number,subspace code,subspace codes.
Conference
abs/0807.3212
ISSN
Citations 
PageRank 
Lecture Notes Computer Science Vol. 5393, 2008, p. 31 - 42
59
2.81
References 
Authors
16
2
Name
Order
Citations
PageRank
Axel Kohnert111412.60
sascha kurz225342.67