Bounds on Equiangular Lines and on Related Spherical Codes

نویسنده

  • Boris Bukh
چکیده

An L-spherical code is a set of Euclidean unit vectors whose pairwise inner products belong to the set L. We show, for a fixed α, β > 0, that the size of any [−1,−β] ∪ {α}-spherical code is at most linear in the dimension. In particular, this bound applies to sets of lines such that every two are at a fixed angle to each another.

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عنوان ژورنال:
  • SIAM J. Discrete Math.

دوره 30  شماره 

صفحات  -

تاریخ انتشار 2016