Classifying cocyclic Butson Hadamard matrices

Ronan Egan, Dane Flannery, Padraig Ó Catháin

We classify all the cocyclic Butson Hadamard matrices $\mathrm{BH}(n,p)$ of order $n$ over the $p$th roots of unity for an odd prime $p$ and $np\le 100$. That is, we compile a lis…