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

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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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Acknowledgements

This work was supported by JSPS KAKENHI Grant number 17K05155.

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Authors and Affiliations

  1. Kobe Gakuin University, Kobe, 650-8586, Japan

    Takuya Ikuta

  2. Tohoku University, Sendai, 980-8579, Japan

    Akihiro Munemasa

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  1. Takuya Ikuta
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  2. Akihiro Munemasa
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Correspondence to Akihiro Munemasa.

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Ikuta, T., Munemasa, A. Complex Hadamard Matrices Attached to a 3-Class Nonsymmetric Association Scheme. Graphs and Combinatorics 35, 1293–1304 (2019). https://doi.org/10.1007/s00373-019-02044-z

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  • DOI: https://doi.org/10.1007/s00373-019-02044-z

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