Equiangular lines in low dimensional Euclidean spaces
Combinatorics
2020-02-20 v1
Abstract
We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve the upper bounds on the cardinality of equiangular line systems in 19 and 20 dimensions to 74 and 94, respectively.
Cite
@article{arxiv.2002.08085,
title = {Equiangular lines in low dimensional Euclidean spaces},
author = {Gary R. W. Greaves and Jeven Syatriadi and Pavlo Yatsyna},
journal= {arXiv preprint arXiv:2002.08085},
year = {2020}
}
Comments
23 pages