Skip to Main content Skip to Navigation
Conference papers

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).
Document type :
Conference papers
Complete list of metadata

Cited literature [12 references]  Display  Hide  Download

https://hal.inria.fr/hal-01276476
Contributor : Jean-Pierre Tillich <>
Submitted on : Friday, February 19, 2016 - 2:28:45 PM
Last modification on : Monday, February 22, 2016 - 11:19:53 AM
Long-term archiving on: : Sunday, November 13, 2016 - 12:07:03 AM

File

wcc15-th3-3.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

63

Files downloads

287