Equiangular lines in euclidean spaces: dimensions 17 and 18

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

Detalles Bibliográficos
Autores principales: Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo
Otros Autores: School of Physical and Mathematical Sciences
Formato: Journal Article
Lenguaje:English
Publicado: 2023
Materias:
Acceso en línea:https://hdl.handle.net/10356/169357