Geodesic
On tight spherical designs
Algebra i analiz, Tome 24 (2012) no. 3, pp. 163-171.

Voir la notice de l'article provenant de la source Math-Net.Ru

Let $X$ be a tight $t$-design of dimension $n$, and let $t=5$ or $t=7$ (the open cases). An investigation of the lattice generated by $X$ by using arithmetic theory of quadratic forms allows one to exclude infinitely many values of $n$.
Keywords: tight $t$-design, quadratic form. 
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G. Nebe; B. Venkov. On tight spherical designs. Algebra i analiz, Tome 24 (2012) no. 3, pp. 163-171. http://geodesic.mathdoc.fr/item/AA_2012_24_3_a5/

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