Equiangular lines in low dimensional Euclidean spaces

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.

Bibliographic Details
Main Authors: Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2021
Subjects:
Online Access:https://hdl.handle.net/10356/152761