A note on the linkage construction for constant dimension codes
Combinatorics
2020-05-06 v5 Information Theory
math.IT
Abstract
Constant dimension codes are used for error control in random linear network coding, so that constructions for these codes with large cardinality have achieved wide attention in the last decade. Here, we improve the so-called linkage construction. Known upper bounds for constant dimension codes containing lifted MRD codes are generalized.
Keywords
Cite
@article{arxiv.1906.09780,
title = {A note on the linkage construction for constant dimension codes},
author = {Sascha Kurz},
journal= {arXiv preprint arXiv:1906.09780},
year = {2020}
}
Comments
13 pages; earlier versions contain a serious flaw in the statement that is now named Conjecture 4.6; typos corrected