Equiangular lines in Euclidean spaces: dimensions 17 and 18
Combinatorics
2023-02-01 v2
Abstract
We show that the maximum cardinality of an equiangular line system in 17 dimensions is 48, thereby solving a longstanding open problem. Furthermore, by giving an explicit construction, we improve the lower bound on the maximum cardinality of an equiangular line system in 18 dimensions to 57.
Keywords
Cite
@article{arxiv.2104.04330,
title = {Equiangular lines in Euclidean spaces: dimensions 17 and 18},
author = {Gary R. W. Greaves and Jeven Syatriadi and Pavlo Yatsyna},
journal= {arXiv preprint arXiv:2104.04330},
year = {2023}
}
Comments
39 pages. Contains tables referenced in the journal version. arXiv admin note: text overlap with arXiv:2002.08085