Frames over finite fields: equiangular lines in orthogonal geometry

• Main Authors: Greaves, Gary Royden Watson, Iverson, Joseph W., Jasper, John, Mixon, Dustin G.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2022
• Subjects: Science::Mathematics; Equiangular Lines; Equiangular Tight Frames
• Online Access: https://hdl.handle.net/10356/162564
• Institution: Nanyang Technological University

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...