Tables of the existence of equiangular tight frames
Matthew Fickus, Dustin G. Mixon
TL;DR
This paper surveys known constructions of equiangular tight frames (ETFs), which are optimal Grassmannian frames, and provides a comprehensive table of their existence in small dimensions.
Contribution
It systematically catalogs all known ETFs and their existence in small dimensions, serving as a valuable reference for researchers.
Findings
Most explicit Grassmannian frames are ETFs
Complete tabulation of ETF existence in small dimensions
Provides a comprehensive survey of ETF constructions
Abstract
A Grassmannian frame is a collection of unit vectors which are optimally incoherent. To date, the vast majority of explicit Grassmannian frames are equiangular tight frames (ETFs). This paper surveys every known construction of ETFs and tabulates existence for sufficiently small dimensions.
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Taxonomy
TopicsMathematical Analysis and Transform Methods · Coding theory and cryptography · Finite Group Theory Research