On the existence of equiangular tight frames

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Upper bounds for $s$-distance sets and equiangular lines (2016, background): “For instance, there is an extensive literature in frame theory devoted to equiangular tight frames [56, 38, 57].”
Minimization of the probabilistic p-frame potential (2010, background): “Thus, by (10) they form an equiangular FUNTF [5, 31].”
Steiner equiangular tight frames (2010, background): “Many approaches to constructing ETFs have focused on the special case in which every entry of F is a root of unity [17, 20, 26, 28, 31].”
A note on equiangular tight frames (2008, background): “2 A necessary condition for the Gram matrix of an (n, d)-ETF to satisfy 〈fk, fl〉 = ±i √ n− d d(n− 1) , for all k 6= l, (11)”
Designing structured tight frames via an alternating projection method (2005, background): “The paper [55] also contains detailed necessary conditions on real equiangular tight frames and on equiangular tight frames over ﬁnite alphabets.”
On the construction of equiangular frames from graphs (2009, methodology): “When such frames do not exist (cf [ STDH07 ]) closely related classes of frames have been suggested as substitutes, most notably Grassmannian frames and mutually unbiased bases (see [SH03], [BK06], [KR04]).”