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.
CITATION STYLE
Nebe, G., & Venkov, B. (2013). On tight spherical designs. St. Petersburg Mathematical Journal, 24(3), 485–491. https://doi.org/10.1090/s1061-0022-2013-01249-0
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