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

情報科学研究科・情報基礎科学専攻

研究成果: Article › 査読

抄録

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.

本文言語	English
ページ（範囲）	1293-1304
ページ数	12
ジャーナル	Graphs and Combinatorics
巻	35
号	6
DOI	https://doi.org/10.1007/s00373-019-02044-z
出版ステータス	Published - 2019 11月 1

ASJC Scopus subject areas

理論的コンピュータサイエンス
離散数学と組合せ数学

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10.1007/s00373-019-02044-z

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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.",

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

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