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arXiv · 0705.3590

Orthogonal arrays from Hermitian varieties

A. Aguglia·L. Giuzzi
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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).

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A. Aguglia, L. Giuzzi. 2007-07-03. Orthogonal arrays from Hermitian varieties. https://arxiv.org/abs/0705.3590

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