Equiangular tight frames that contain regular simplices

• Published in: Linear algebra and its applications Vol. 555; pp. 98 - 138
• Main Authors: Fickus, Matthew, Jasper, John, King, Emily J., Mixon, Dustin G.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier Inc 15.10.2018; American Elsevier Company, Inc
• Subjects: Algorithms; Equiangular; Euclidean geometry; Euclidean space; Frame; Integer programming; Linear algebra; Packing problem; Subspaces; Tight; Frame; 42C15; Equiangular; Tight

An equiangular tight frame (ETF) is a type of optimal packing of lines in Euclidean space. A regular simplex is a special type of ETF in which the number of vectors is one more than the dimension of the space they span. In this paper, we consider ETFs that contain a regular simplex, that is, have th...