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.
%0 Book Section
%1 matolcsi15
%A Matolcsi, Máté
%B Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014
%D 2015
%E Colbourn, J. Charles
%I Springer
%K circulant fourier hadamard walsh
%P 201--208
%R 10.1007/978-3-319-17729-8_16
%T A Walsh--Fourier Approach to the Circulant Hadamard Conjecture
%X 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.
%@ 978-3-319-17729-8
@inbook{matolcsi15,
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.
},
added-at = {2016-09-11T12:40:59.000+0200},
author = {Matolcsi, M{\'a}t{\'e}},
biburl = {https://www.bibsonomy.org/bibtex/2d7ed0e4142e4c65333c430b1e2f7b36b/ytyoun},
booktitle = {Algebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014},
doi = {10.1007/978-3-319-17729-8_16},
editor = {Colbourn, J. Charles},
interhash = {68c92703a63c61b12527e89502b1d49c},
intrahash = {d7ed0e4142e4c65333c430b1e2f7b36b},
isbn = {978-3-319-17729-8},
keywords = {circulant fourier hadamard walsh},
pages = {201--208},
publisher = {Springer},
timestamp = {2016-10-01T08:34:16.000+0200},
title = {A {Walsh}--{Fourier} Approach to the Circulant {Hadamard} Conjecture},
year = 2015
}