Geodesic
Minimal covers of $Q^+(2n+1,q)$ by $(n-1)$-dimensional subspaces
Journal of Algebraic Combinatorics, Tome 15 (2002) no. 3, pp. 231-240.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A $t$-cover of a quadric $Q$ Q is a set $C$ of $t$-dimensional subspaces contained in $Q$ Q such that every point of $Q$ Q is contained in at least one element of $C$. We consider $( n - 1)$-covers of the hyperbolic quadric $Q ^{+}(2 n + 1, q)$. We show that such a cover must have at least $q ^{ n + 1} + 2 q + 1$ elements, give an example of this size for even $q$ and describe what covers of this size should look like.
Keywords: covers, partial spreads, quadrics 
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     title = {Minimal covers of $Q^+(2n+1,q)$ by $(n-1)$-dimensional subspaces},
     journal = {Journal of Algebraic Combinatorics},
     pages = {231--240},
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Eisfeld, J.; Storme, L.; Sziklai, P. Minimal covers of $Q^+(2n+1,q)$ by $(n-1)$-dimensional subspaces. Journal of Algebraic Combinatorics, Tome 15 (2002) no. 3, pp. 231-240. http://geodesic.mathdoc.fr/item/JAC_2002__15_3_a4/