Inbook,

A Walsh--Fourier Approach to the Circulant Hadamard Conjecture

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page 201--208. Springer, (2015)
DOI: 10.1007/978-3-319-17729-8_16

Abstract

We describe an approach to the circulant Hadamard conjecture based on Walsh–Fourier analysis. We show that the existence of a circulant Hadamard matrix of order n is equivalent to the existence of a non-trivial solution of a certain homogenous linear system of equations. Based on this system, a possible way of proving the conjecture is proposed.

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