Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme

Takuya Ikuta, Akihiro Munemasa

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we classify complex Hadamard matrices contained in the Bose–Mesner algebra of 3-class nonsymmetric association schemes. As a consequence of ourclassification, 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.

Original languageEnglish
Pages (from-to)1293-1304
Number of pages12
JournalGraphs and Combinatorics
Volume35
Issue number6
DOIs
Publication statusPublished - 2019 Nov 1

Keywords

  • Association scheme
  • Complex Hadamard matrix

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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