2018年1月1日
Butson-Type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
Special Matrices
- ,
- 巻
- 6
- 号
- 1
- 開始ページ
- 1
- 終了ページ
- 10
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1515/spma-2018-0001
- 出版者・発行元
- De Gruyter Open Ltd
We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of class 3 whose Bose-Mesner algebra contains a nonsymmetric hermitian complex Hadamard matrix, and show that such a complex Hadamard matrix is necessarily a Butson-Type complex Hadamard matrix whose entries are 4-Th roots of unity.We also give nonsymmetric association schemes X of class 6 on Galois rings of characteristic 4, and classify hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of X. It is shown that such a matrix is again necessarily a Butson-Type complex Hadamard matrix whose entries are 4-Th roots of unity.
- ID情報
-
- DOI : 10.1515/spma-2018-0001
- ISSN : 2300-7451
- SCOPUS ID : 85042258312