The second and the third smallest arrangements of hyperplanes in finite projective spaces - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Conference Papers Year : 2016

The second and the third smallest arrangements of hyperplanes in finite projective spaces

Abstract

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).
Fichier principal
Vignette du fichier
wcc15-th3-3.pdf (237.61 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01276476 , version 1 (19-02-2016)

Identifiers

Cite

Daniele Bartoli, Leo Storme. The second and the third smallest arrangements of hyperplanes in finite projective spaces. The 9th International Workshop on Coding and Cryptography 2015 WCC2015, Anne Canteaut, Gaëtan Leurent, Maria Naya-Plasencia, Apr 2015, Paris, France. ⟨10.1016/j.ffa.2015.10.001⟩. ⟨hal-01276476⟩

Collections

WCC2015
17 View
115 Download

Altmetric

Share

Gmail Facebook X LinkedIn More