Abstract
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 n p ≤ 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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Acknowledgements
R. Egan received funding from the Irish Research Council (Government of Ireland Postgraduate Scholarship). P. Ó Catháin was supported by Australian Research Council grant DP120103067.
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Dedicated to Hadi Kharaghani on the occasion of his 70th birthday
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Egan, R., Flannery, D., Catháin, P.Ó. (2015). Classifying Cocyclic Butson Hadamard Matrices. In: Colbourn, C. (eds) Algebraic Design Theory and Hadamard Matrices. Springer Proceedings in Mathematics & Statistics, vol 133. Springer, Cham. https://doi.org/10.1007/978-3-319-17729-8_8
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DOI: https://doi.org/10.1007/978-3-319-17729-8_8
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