A walsh-fourier approach to the circulant hadamard conjecture

Research output: Chapter in Book/Report/Conference proceedingChapter

2 Citations (Scopus)

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.

Original languageEnglish
Title of host publicationAlgebraic Design Theory and Hadamard Matrices: ADTHM, Lethbridge, Alberta, Canada, July 2014
PublisherSpringer International Publishing
Pages201-208
Number of pages8
Volume133
ISBN (Print)9783319177298, 9783319177281
DOIs
Publication statusPublished - Sep 3 2015

    Fingerprint

Keywords

  • Circulant matrices
  • Hadamard matrices
  • Walsh-fourier analysis

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

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