On the classification of the tight spherical designs

We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class o...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
1. Verfasser: Boyvalenkov, P.G.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We find the distance distributions (of a spherical code) with respect to every point for the tight spherical 4-, 5-, and 7-designs. As an immediate corollary we prove the nonexistence of an infinite class of tight spherical 4-designs. This implies the nonexistence of a corresponding infinite class of tight spherical 5-designs.< >
DOI:10.1109/ISIT.1994.394882