English

Complex Hadamard matrices attached to a 3-class nonsymmetric association scheme

Combinatorics 2019-04-26 v2

Abstract

In this paper we classify complex Hadamard matrices contained in the Bose-Mesner algebra of nonsymmetric 3-class association schemes. As a consequence of our classification, we have two infinite families and some small examples of complex Hadamard matrices contained in the Bose-Mesner algebra of a self-dual fission of a complete multipartite graph.

Keywords

Cite

@article{arxiv.1810.08496,
  title  = {Complex Hadamard matrices attached to a 3-class nonsymmetric association scheme},
  author = {Takuya Ikuta and Akihiro Munemasa},
  journal= {arXiv preprint arXiv:1810.08496},
  year   = {2019}
}

Comments

14 pages, minor revision

R2 v1 2026-06-23T04:45:52.085Z