Tables of subspace codes
Abstract
One of the main problems of subspace coding asks for the maximum possible cardinality of a subspace code with minimum distance at least over , where the dimensions of the codewords, which are vector spaces, are contained in . In the special case of one speaks of constant dimension codes. Since this (still) 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 \url{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.
Cite
@article{arxiv.1601.02864,
title = {Tables of subspace codes},
author = {Daniel Heinlein and Michael Kiermaier and Sascha Kurz and Alfred Wassermann},
journal= {arXiv preprint arXiv:1601.02864},
year = {2019}
}
Comments
44 pages, 6 tables, 7 screenshots