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Proceedings Paper

An infinite family of two-distance tight frames
Author(s): Nicholas P. Brown; John Jasper
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Paper Abstract

The relationship between equiangular tight frames and strongly regular graphs has been known for several years. This relationship has been exploited to construct many of the latest examples of new strongly regular graphs. Recently it was shown that there is a similar relationship between two-distance tight frames and strongly regular graphs. In this paper we present a new tensor like construction of two-distance tight frames, and hence a family of strongly regular graphs. While graphs with these parameters were known to exist, this new construction is very simple, requiring only the existence of an affine plane, whereas the original constructions often require more complicated objects such as generalized quadrangles.

Paper Details

Date Published: 9 September 2019
PDF: 8 pages
Proc. SPIE 11138, Wavelets and Sparsity XVIII, 111381D (9 September 2019); doi: 10.1117/12.2528878
Show Author Affiliations
Nicholas P. Brown, South Dakota State Univ. (United States)
John Jasper, South Dakota State Univ. (United States)

Published in SPIE Proceedings Vol. 11138:
Wavelets and Sparsity XVIII
Dimitri Van De Ville; Manos Papadakis; Yue M. Lu, Editor(s)

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