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Exotic complex Hadamard matrices, and their equivalence · Around

2010

Exotic complex Hadamard matrices, and their equivalence

Szöllősi, Ferenc

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In this paper we 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--Jones and Munemasa--Watatani 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, we propose a new invariant, the fingerprint of complex Hadamard matrices.
As a side result, we refute a conjecture of Koukouvinos et al.

Built on

A. T. Butson
1962
Earlier work this paper cites.
W. de Launey
1984
Earlier work this paper cites.
G. Björck
1990
Earlier work this paper cites.
R. Craigen
1990
Earlier work this paper cites.
P. de la Harpe, V. F. R. Jones
1990
Earlier work this paper cites.
A. Munemasa, Y. Watatani
1992
Earlier work this paper cites.

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