Equiangular lines in Euclidean spaces: dimensions 17 and 18
arXiv:2104.04330
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.
39 pages. Contains tables referenced in the journal version. arXiv admin note: text overlap with arXiv:2002.08085