Equiangular lines in low dimensional Euclidean spaces

• Main Authors: Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2021
• Subjects: Science::Mathematics::Discrete mathematics::Combinatorics; Science::Mathematics::Discrete mathematics::Theory of computation; Spherical Codes; Equiangular
• Online Access: https://hdl.handle.net/10356/152761
• Institution: Nanyang Technological University

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.