Binary Subspace Codes in Small Ambient Spaces
Combinatorics
2018-10-01 v3 Information Theory
math.IT
Abstract
Codes in finite projective spaces equipped with the subspace distance have been proposed for error control in random linear network coding. Here we collect the present knowledge on lower and upper bounds for binary subspace codes for projective dimensions of at most . We obtain several improvements of the bounds and perform two classifications of optimal subspace codes, which are unknown so far in the literature.
Cite
@article{arxiv.1804.02219,
title = {Binary Subspace Codes in Small Ambient Spaces},
author = {Daniel Heinlein and Sascha Kurz},
journal= {arXiv preprint arXiv:1804.02219},
year = {2018}
}
Comments
21 pages, 2 tables; typos corrected