Orthogonal arrays from Hermitian varieties

Details Orthogonal arrays from Hermitian varieties Orthogonal arrays from Hermitian varieties

2007-05-24

arxiv.org/abs/0705.3590v3

Innovations in Incidence Geometry 5: 129-144 (2007)

Mathematics

Combinatorics

Corrected a typo on page 5. 14 Pages

Scientific paper

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).

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