Connectedness of projective codes in the Grassmann graph
Combinatorics
2020-04-17 v3
Abstract
Using the concept of projective systems for linear codes and elementary linear algebra, we show that projective codes form a connected subgraph in the Grassmann graph consisting of -dimensional subspaces of an -dimensional vector space over the -element field.
Cite
@article{arxiv.1806.02729,
title = {Connectedness of projective codes in the Grassmann graph},
author = {Mark Pankov},
journal= {arXiv preprint arXiv:1806.02729},
year = {2020}
}
Comments
There is a very simple proof of the main result which makes it obvious