Classifying cocyclic Butson Hadamard matrices

نویسندگان

  • Ronan Egan
  • Dane Flannery
  • Padraig Ó Catháin
چکیده

We classify all the cocyclic Butson Hadamard matrices BH(n, p) of order n over the pth roots of unity for an odd prime p and np ≤ 100. That is, we compile a list of matrices such that any cocyclic BH(n, p) for these n, p is equivalent to exactly one element in the list. Our approach encompasses non-existence results and computational machinery for Butson and generalized Hadamard matrices that are of independent interest.

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تاریخ انتشار 2015