Some Remarks on Systems of Equiangular Lines

Abstract

In this note, we study the maximum number $N_{\alpha }(d)$ of a system of equiangular lines in ${\mathbb{R}}^d$ with cosine $\alpha$, where $\frac{1}{\alpha }$ is not an odd positive integer. This note is motivated by a remark in a $2018$ paper by Balla, Dräxler, Keevash and Sudakov.

4 pages

References in corpus (3)

• Equiangular lines in Euclidean spaces
• Equiangular line systems and switching classes containing regular graphs
• On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix