Frames over finite fields: Equiangular lines in orthogonal geometry

We investigate equiangular lines in finite orthogonal geometries, focusing specifically on equiangular tight frames (ETFs). In parallel with the known correspondence between real ETFs and strongly regular graphs (SRGs) that satisfy certain parameter constraints, we prove that ETFs in finite orthogon...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	Linear algebra and its applications 2022-04, Vol.639, p.50-80
Hauptverfasser:	Greaves, Gary R.W., Iverson, Joseph W., Jasper, John, Mixon, Dustin G.
Format:	Artikel
Sprache:	eng
Schlagworte:	Apexes Equiangular lines Equiangular tight frames Fields (mathematics) Finite fields Graphs Linear algebra Parameters Strongly regular graphs
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!