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

Takuya Ikuta; Akihiro Munemasa

doi:10.1007/s00373-019-02044-z

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

Takuya Ikuta, Akihiro Munemasa

INF - Computer and Mathematical Sciences

Kobe Gakuin University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1293-1304
Number of pages	12
Journal	Graphs and Combinatorics
Volume	35
Issue number	6
DOIs	https://doi.org/10.1007/s00373-019-02044-z
Publication status	Published - 2019 Nov 1

Keywords

Association scheme
Complex Hadamard matrix

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title = "Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme",

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.",

keywords = "Association scheme, Complex Hadamard matrix",

author = "Takuya Ikuta and Akihiro Munemasa",

note = "Funding Information: This work was supported by JSPS KAKENHI Grant number 17K05155. Publisher Copyright: {\textcopyright} 2019, Springer Japan KK, part of Springer Nature.",

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KW - Complex Hadamard matrix

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

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Keywords

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