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Erschienen in:
2008 | OriginalPaper | Buchkapitel
Construction of Large Constant Dimension Codes with a Prescribed Minimum Distance
verfasst von : Axel Kohnert, Sascha Kurz
Erschienen in: Mathematical Methods in Computer Science
Verlag: Springer Berlin Heidelberg
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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.