数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 35-43.
王恺顺, 魏鸿增
WANG Kai-Shun, WEI Hong-Zeng
摘要：
Let Fq be a finite field with q elements, where q is a power of an odd prime. In this paper, the authors consider a projective space PG(2 + + l, Fq) with dimension 2 + +l, partitioned into an affine space AG(2 + +l, Fq) of dimension 2 + +l and a hyperplane H = PG(2 + +l −1, Fq) of dimension 2 + +l −1 at infinity, where l 6= 0. The points of the hyperplane H are next partitioned into four subsets. A pair of points a
and b of the affine space is defined to belong to class i if the line ab meets the subset i of H. Finally, a family of four-class association schemes are constructed, and parameters are also computed.
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