Abstract
A complex Hadamard matrix is defined as a matrix H which fulfills two conditions, \(|H_{j,k}|=1\) for all j and k and \(HH^{*}=N \mathbb {I}_N\) where \(\mathbb {I}_N\) is an identity matrix of size N. We explore the set of complex Hadamard matrices \(\mathcal {H}_N\) of size \(N=8\) and present two previously unknown structures: a one-parametric, non-affine family \(T_8^{(1)}\) of complex Hadamard matrices and a single symmetric and isolated matrix \(A_8^{(0)}\).
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Bruzda, W.T. Extension of the Set of Complex Hadamard Matrices of Size 8. Math.Comput.Sci. 12, 459–464 (2018). https://doi.org/10.1007/s11786-018-0379-8
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DOI: https://doi.org/10.1007/s11786-018-0379-8