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A Walsh–Fourier approach to the Circulant Hadamard conjecture

Matolcsi, Máté (2015) A Walsh–Fourier approach to the Circulant Hadamard conjecture. In: Algebraic Design Theory and Hadamard Matrices. Springer Proceedings in Mathematics & Statistics (133). Springer, Switzerland, pp. 201-208. ISBN 978-3-319-17728-1

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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. © Springer International Publishing Switzerland 2015.

Item Type: Book Section
Uncontrolled Keywords: Walsh–Fourier analysis; Hadamard Matrices; circulant matrices
Subjects: Q Science / természettudomány > QA Mathematics / matematika
SWORD Depositor: MTMT SWORD
Depositing User: MTMT SWORD
Date Deposited: 17 Feb 2016 11:01
Last Modified: 17 Feb 2016 11:01
URI: http://real.mtak.hu/id/eprint/33678

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