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.
CITATION STYLE
Matolcsi, M. (2015). A walsh-fourier approach to the circulant hadamard conjecture. In Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014 (Vol. 133, pp. 201–208). Springer International Publishing. https://doi.org/10.1007/978-3-319-17729-8_16
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