New Scarpis-type constructions produce Butson matrices of orders n(n-1) and n(n/2-1) from smaller Butson matrices.
Dokovi` c, Generalization of Scarpis’ theorem on Hadamar d matrices, Linear and Multilinear Algebra, (2017) 65: 1985–1987
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Construction of Butson matrices using Fourier matrices as input
New Scarpis-type constructions produce Butson matrices of orders n(n-1) and n(n/2-1) from smaller Butson matrices.