No projective 16-divisible binary linear code of length 131 exists
Information Theory
2020-10-13 v1 Combinatorics
math.IT
Abstract
We show that no projective 16-divisible binary linear code of length 131 exists. This implies several improved upper bounds for constant-dimension codes, used in random linear network coding, and partial spreads.
Cite
@article{arxiv.2006.10382,
title = {No projective 16-divisible binary linear code of length 131 exists},
author = {Sascha Kurz},
journal= {arXiv preprint arXiv:2006.10382},
year = {2020}
}
Comments
4 pages