96 citations · 298 across the 25 of their papers we have counts for
4 papers · 1 filter
Improving the Delsarte bound
Gary R. W. Greaves, Jack H. Koolen, Jongyook Park
In this paper, we study the order of a maximal clique in an amply regular graph with a fixed smallest eigenvalue by considering a vertex that is adjacent to some (but not all) vert…
Frames over finite fields: Equiangular lines in orthogonal geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We investigate equiangular lines in finite orthogonal geometries, focusing specifically on equiangular tight frames (ETFs). In parallel with the known correspondence between real E…
Frames over finite fields: Basic theory and equiangular lines in unitary geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We introduce the study of frames and equiangular lines in classical geometries over finite fields. After developing the basic theory, we give several examples and demonstrate finit…
Equiangular lines in low dimensional Euclidean spaces
Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna
We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve…