Balancedly splittable orthogonal designs and equiangular tight frames

Balancedly splittable orthogonal designs and equiangular tight frames

The concept of balancedly splittable orthogonal designs is introduced along with a recursive construction. As an application, equiangular tight frames over the real, complex, and quaternions meeting the Delsarte-Goethals-Seidel upper bound is obtained.

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Bibliographische Detailangaben
Veröffentlicht in:arXiv.org 2023-12
Hauptverfasser: Kharaghani, Hadi, Pender, Thomas, Suda, Sho
Format: Artikel
Sprache:eng
Schlagworte:
Quaternions
Upper bounds
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Zusammenfassung:The concept of balancedly splittable orthogonal designs is introduced along with a recursive construction. As an application, equiangular tight frames over the real, complex, and quaternions meeting the Delsarte-Goethals-Seidel upper bound is obtained.
ISSN:2331-8422