Tables of subspace codes

نویسندگان

  • Daniel Heinlein
  • Michael Kiermaier
  • Sascha Kurz
  • Alfred Wassermann
چکیده

The main problem of subspace coding asks for the maximum possible cardinality of a subspace code with minimum distance at least d over Fq , where the dimensions of the codewords, which are vector spaces, are contained in K ⊆ {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 on-line database of the (at least to us) known results at subspacecodes.uni-bayreuth.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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عنوان ژورنال:
  • CoRR

دوره abs/1601.02864  شماره 

صفحات  -

تاریخ انتشار 2016