On the Characterisation of AG(n,q) by its Parameters asa Nearly Triply Regular Design期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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

Authors:	Arlene A. Pascasio Cheryl E. Praeger Blessilda P. Raposa

Affiliation:	(1) Department of Mathematics, De La Salle University, Manila, Philippines, 1004;(2) Department of Mathematics, University of WesternAustralia, Nedlands, Western Australia, 600

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

Keywords:	Balanced incomplete block designs combinatorial designs affine designs nearly triply regular designs AG(n,q)
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