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 are obtained.

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Veröffentlicht in:Designs, codes, and cryptography codes, and cryptography, 2021-09, Vol.89 (9), p.2033-2050
Hauptverfasser: Kharaghani, Hadi, Pender, Thomas, Suda, Sho
Format: Artikel
Sprache:eng
Schlagworte:
Coding and Information Theory
Computer Science
Cryptology
Discrete Mathematics in Computer Science
Quaternions
Upper bounds
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Beschreibung
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 are obtained.
ISSN:0925-1022
1573-7586
DOI:10.1007/s10623-021-00897-1