A two-parameter family of complex Hadamard matrices of order 6 induced by hypocycloids

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  • 24 November 2008
Abstract
Constructions of Hadamard matrices from blocks satisfying certain conditions is a well-known method in the theory of real Hadamard matrices. The classical arrays of Williamson, Ito and even tensoring Hadamard matrices is a construction procedure involving smaller order building blocks. We apply this method for order 6 to obtain a new, previously unknown 2-dimensional family of complex Hadamard matrices, which is described via closed analytic formulae. Our results can be considered as a one-parametric extension of the B_6(t) family found by Beauchamp and Nicoara very recently.

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