The second and the third smallest arrangements of hyperplanes in finite projective spaces
Résumé
In this paper we determine the second and the third smallest configuration of hyperplanes in PG(N, q). We present links with the unique extendability of arcs in PG(2, q), and with (k, 3)-arcs having a unique trisecant. These results have links to the study of weights of the d-th order q-ary projective Reed-Muller codes PRM(q, d, N).
Domaines
Théorie de l'information [cs.IT]
Origine : Fichiers produits par l'(les) auteur(s)
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