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

2018/10/19 by Takuya Ikuta, Ikuta, Takuya, Akihiro Munemasa +1
Computer Science · Mathematics · #05B30 #05E30 #Algebraic structures and combinatorial models #Coding theory and cryptography #Combinatorics (math.CO) #FOS: Mathematics #Finite Group Theory Research

paper · pdf · doi:10.48550/arxiv.1810.08496

openalex publication_date 2018/10/19 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

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.

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