Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe and Jones (C R Acad Sci Paris 311(Serie I): 147---150, 1990), and Munemasa and Watatani (C R Acad Sci Paris 314(Serie I): 329---331, 1992) and offer a theoretical explanation for the existence of some sporadic examples of complex Hadamard matrices in the existing literature. As it is increasingly difficult to distinguish inequivalent matrices from each other,  propose a new invariant, the fingerprint of complex Hadamard matrices. As a side result,  refute a conjecture of Koukouvinos et al. on (n-8)×(n-8) minors of real Hadamard matrices (Koukouvinos et al., Linear Algebra Appl 371:111---124, 2003).
['Ferenc Szöllősi']
I am writing a research paper on a idea Exotic complex Hadamard matrices and their equivalence
[{"from": "human", "value": "I am writing a research paper on a idea Exotic complex Hadamard matrices and their equivalence"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:   use a design theoretical approach to construct new, previously unknown complex Hadamard matrices. Our methods generalize and extend the earlier results of de la Harpe and Jones (C R Acad Sci Paris 311(Serie I): 147---150, 1990), and Munemasa and Watatani (C R Acad Sci Paris 314(Serie I): 329---331, 1992) and offer a theoretical explanation for the existence of some sporadic examples of complex Hadamard matrices in the existing literature. As it is increasingly difficult to distinguish inequivalent matrices from each other,  propose a new invariant, the fingerprint of complex Hadamard matrices. As a side result,  refute a conjecture of Koukouvinos et al. on (n-8)\u00d7(n-8) minors of real Hadamard matrices (Koukouvinos et al., Linear Algebra Appl 371:111---124, 2003)."}]