Orthogonal arrays from Hermitian varieties
Combinatorics
2009-07-18 v3 Statistics Theory
Statistics Theory
Abstract
An orthogonal array OA(q^{2n-1},q^{2n-2}, q,2) is constructed from the action of a subset of PGL(n+1,q^2) on some non--degenerate Hermitian varieties in PG(n,q^2). It is also shown that the rows of this orthogonal array correspond to some blocks of an affine design, which for q> 2 is a non--classical model of the affine space AG(2n-1,q).
Keywords
Cite
@article{arxiv.0705.3590,
title = {Orthogonal arrays from Hermitian varieties},
author = {A. Aguglia and L. Giuzzi},
journal= {arXiv preprint arXiv:0705.3590},
year = {2009}
}