Tremain equiangular tight frames
Copyright policy )Tremain equiangular tight frames
Equiangular tight frames provide optimal packings of lines through the origin. We combine Steiner triple systems with Hadamard matrices to produce a new infinite family of equiangular tight frames. This in turn leads to new constructions of strongly regular graphs and distance-regular antipodal covers of the complete graph.
11 pages
- UNIVERSITY OF MISSOURI-COLUMBIA
- The Ohio State University United States
- South Dakota State University United States
- Air Force Institute of Technology United States
FOS: Computer and information sciences, Distance in graphs, Triple systems, Computer Science - Information Theory, Information Theory (cs.IT), Functional Analysis (math.FA), Mathematics - Functional Analysis, equiangular tight frame, Steiner system, strongly regular graph, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, Hadamard matrix, Combinatorics (math.CO), distance-regular antipodal cover of the complete graph, Primary: 42C15, Secondary: 51E10, 05B20, 05C12, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
FOS: Computer and information sciences, Distance in graphs, Triple systems, Computer Science - Information Theory, Information Theory (cs.IT), Functional Analysis (math.FA), Mathematics - Functional Analysis, equiangular tight frame, Steiner system, strongly regular graph, FOS: Mathematics, Association schemes, strongly regular graphs, Mathematics - Combinatorics, Hadamard matrix, Combinatorics (math.CO), distance-regular antipodal cover of the complete graph, Primary: 42C15, Secondary: 51E10, 05B20, 05C12, Combinatorial aspects of matrices (incidence, Hadamard, etc.)
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