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Construction of large constant dimension codes with a prescribed minimum distance

Title data

Kohnert, Axel ; Kurz, Sascha:
Construction of large constant dimension codes with a prescribed minimum distance.
In: Jacques Calmet, Willi Geiselmann and Jörn Müller-Quade (Hrsg.): Mathematical methods in computer science: essays in memory of Thomas Beth. - Berlin : Springer , 2008 . - pp. 31-42 . - (Lecture Notes in Computer Science ; 5393 )
ISBN 978-3-540-89993-8

Official URL: Volltext

Abstract in another language

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.

Further data

Item Type: Article in a book
Refereed: Yes
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics II
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics in Economy > Chair Mathematics in Economy - Univ.-Prof. Dr. Jörg Rambau
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 510 Mathematics
Date Deposited: 04 Nov 2014 13:37
Last Modified: 07 Jun 2016 11:42
URI: https://eref.uni-bayreuth.de/id/eprint/3282