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).
Domains
Information Theory [cs.IT]
Origin : Files produced by the author(s)
Loading...