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arXiv · 1612.00926

Complex Hadamard matrices attached to even orthogonal schemes of class 4

Takuya Ikuta·Akihiro Munemasa
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Abstract

A complex Hadamard matrix is a square matrix W with complex entries of absolute value 1 satisfying WW*=nI, where * stands for the Hermitian transpose and I is the identity matrix of order n. In this paper, we give constructions of complex Hadamard matrices in the Bose-Mesner algebra of a certain 4-class symmetric association scheme. Moreover, we determine the Nomura algebras to show that the resulting matrices are not decomposable into nontrivial generalized tensor products.

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Takuya Ikuta, Akihiro Munemasa. 2016-12-03. Complex Hadamard matrices attached to even orthogonal schemes of class 4. https://arxiv.org/abs/1612.00926

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