SPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS

TitleSPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS
Publication TypeJournal Article
Year of Publication2003
AuthorsBOYVALENKOV PETER, STOYANOVA MAYA
JournalAnnuaire de l’Universite de Sofia “st. Kliment Ohridski” Faculte de Mathematiques et Informatique
Volume95
Keywords2-distance sets, maximal spherical codes, spherical designs
Abstract

We classify spherical codes which admit exactly two different nonzero distances between their points and are spherical $3$-designs. We prove that such codes have the maximal possible cardinality provided the dimension and the minimum distance are fixed.

2000 MSC

05B30

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