利用有限仿射几何的m-面构作结合方案和PBIB设计

Constructing Association Scheme and PBIB Designs with Several Associate Classes Using m-Flats in Affine Geometry

取有限仿射几何AG(n,F_q)中的m-面(0<m<n)的全体作为处理集构作了多个结合类的结合方案和一些PBIB设计,并计算了其参数。

Let Fq be the finite field with q elements, AG(n,Fq) be the n-dimensional affine space over Fq Taking the set of m-flats in AG(n,Fq) as the set of treatments, we construct an association scheme and some PBIB designs with several associate classes,and compute their parameters.