Title data
Heinlein, Daniel ; Kiermaier, Michael ; Kurz, Sascha ; Wassermann, Alfred:
Tables of subspace codes.
Bayreuth
,
2016
.  13 S.
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Deutsche Forschungsgemeinschaft 
Abstract
The main problem of subspace coding asks for the maximum possible cardinality of a subspace code with minimum distance at least d over the ndimensional vector space of the finite field with q elements, where the dimensions of the codewords, which are vector spaces, are contained in {0,1,...,n}. In the special case of K={k} one speaks of constant dimension codes. Since this emerging field is very prosperous on the one hand side and there are a lot of connections to classical objects from Galois geometry it is a bit difficult to keep or to obtain an overview about the current state of knowledge. To this end we have implemented an online database of the (at least to us) known results at subspacecodes.unibayreuth.de. The aim of this recurrently updated technical report is to provide a user guide how this technical tool can be used in research projects and to describe the so far implemented theoretic and algorithmic knowledge.
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 Tables of subspace codes. (deposited 14 Jan 2016 09:28) [Currently Displayed]