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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Official URL: http://dx.doi.org/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. © Springer International Publishing Switzerland 2015.
| Item Type: | Book Section |
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| 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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