# SPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS

 Title SPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS Publication Type Journal Article Year of Publication 2004 Authors Boyvalenkov P, Stoyanova M Journal Annuaire de l’Université de Sofia “St. Kliment Ohridski”. Faculté de Mathématiques et Informatique Volume 95 Keywords 2-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
AttachmentSize
25.34 KB
AttachmentSize
513.61 KB