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
Saved in:
Main Authors: | Greaves, Gary Royden Watson, Syatriadi, Jeven, Yatsyna, Pavlo |
---|---|
Other Authors: | School of Physical and Mathematical Sciences |
Format: | Article |
Language: | English |
Published: |
2023
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/169357 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
Similar Items
-
Real equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs
by: Greaves, Gary Royden Watson, et al.
Published: (2023) -
Equiangular lines in low dimensional Euclidean spaces
by: Greaves, Gary Royden Watson, et al.
Published: (2021) -
On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix
by: Greaves, Gary Royden Watson, et al.
Published: (2021) -
Frames over finite fields: equiangular lines in orthogonal geometry
by: Greaves, Gary Royden Watson, et al.
Published: (2022) -
Equiangular line systems and switching classes containing regular graphs
by: Greaves, Gary Royden Watson
Published: (2019)