SPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS

Authors

  • Peter Boyvalenkov
  • Maya Stoyanova

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.

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Published

2003-12-12

How to Cite

Boyvalenkov, P., & Stoyanova, M. (2003). SPHERICAL 2-DISTANCE SETS WHICH ARE SPHERICAL 3-DESIGNS. Ann. Sofia Univ. Fac. Math. And Inf., 95, 53–58. Retrieved from https://stipendii.uni-sofia.bg/index.php/fmi/article/view/175