Frames over finite fields: equiangular lines in orthogonal geometry

• المؤلفون الرئيسيون: Greaves, Gary Royden Watson, Iverson, Joseph W., Jasper, John, Mixon, Dustin G.
• مؤلفون آخرون: School of Physical and Mathematical Sciences
• التنسيق: مقال
• اللغة: English
• منشور في: 2022
• الموضوعات: Science::Mathematics; Equiangular Lines; Equiangular Tight Frames
• الوصول للمادة أونلاين: https://hdl.handle.net/10356/162564
• المؤسسة: 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...