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arXiv · 1107.1338

Circulant conference matrices for new complex Hadamard matrices

Petre Dita
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Abstract

The circulant real and complex matrices are used to find new real and complex conference matrices. With them we construct Sylvester inverse orthogonal matrices by doubling the size of inverse complex conference matrices. When the free parameters take values on the unit circle the inverse orthogonal matrices transform into complex Hadamard matrices. The method is used for $n=6$ conference matrices and in this way we find new parametrisations of Hadamard matrices for dimension $ n=12$.

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Petre Dita. 2011-07-07. Circulant conference matrices for new complex Hadamard matrices. https://arxiv.org/abs/1107.1338

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