On the Characterisation of AG(n, q) by its Parameters as a Nearly Triply Regular Design

Arlene A. Pascasio, Cheryl E. Praeger and Blessilda P. Raposa
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Arlene A. Pascasio: De La Salle University, Department of Mathematics
Cheryl E. Praeger: University of Western Australia, Department of Mathematics
Blessilda P. Raposa: De La Salle University, Department of Mathematics

A chapter in Designs and Finite Geometries, 1996, pp 173-179 from Springer

Abstract: Abstract We show that a non-symmetric nearly triply regular $$ 2 - \left( {{q^n},{q^{{n - 1}}},\frac{{{q^{{n - 1}}} - 1}}{{q - 1}}} \right) $$ design D with υ1 = q n -2, υ2 = q n -3 and in which every line has at least q points is AG(n, q) for prime power q > 2 and positive integer n ≥ 3.

Keywords: Balanced incomplete block designs; combinatorial designs; affine designs; nearly triply regular designs; AG(n; q) (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-1395-3_13

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DOI: 10.1007/978-1-4613-1395-3_13

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