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math.CO2020
Bordered complex Hadamard matrices and strongly regular graphs
Takuya Ikuta, Akihiro Munemasa
We consider bordered complex Hadamard matrices whose core is contained in the Bose-Mesner algebra of a strongly regular graph. Examples include a complex Hadamard matrix whose core…
math.CO2018
Complex Hadamard matrices attached to a 3-class nonsymmetric association scheme
Takuya Ikuta, Akihiro Munemasa
In this paper we classify complex Hadamard matrices contained in the Bose-Mesner algebra of nonsymmetric 3-class association schemes. As a consequence of our classification, we hav…
math.CO2017★ 1 cited
Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
Takuya Ikuta, Akihiro Munemasa
We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization…