On tight spherical designs

Details On tight spherical designs On tight spherical designs

2012-01-09

arxiv.org/abs/1201.1830v1

Mathematics

Combinatorics

Scientific paper

Let X be a tight t-design of dimension n for one of the open cases t=5 or
t=7. An investigation of the lattice generated by X using arithmetic theory of
quadratic forms allows to exclude infinitely many values for n.

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