Circulant q-Butson Hadamard matrices

Trevor Hyde, Joseph Kraisler

If $q=p^n$ is a prime power, then a $d$-dimensional \emph{$q$-Butson Hadamard matrix} $H$ is a $d\times d$ matrix with all entries $q$th roots of unity such that $H{H}^{\ast }=d{I}_d$. W…