本文把N+1维射影空间看作一个N+1维仿射空间X和一个N维无穷远超平面H的并,利用埃尔米特簇把H上的点集划分为3个子集,对X中任两点a和b,如果线ab与H的交点属于第i个子集,定义a和b属于第i个结合类,我们证明上述构作是一个结合方案,并计算出其参数.

n this paper, we partition a protective space of dimension N + 1 into the union of an affine space X of dimension N + I and a hyperplane 'H of dimension N at infinity. The points of the hyperplane "H are partitioned into 3 subsets by hermitian variety. A pair of distinct points a, b∈ X is denned to belong to class i if the line ab meets the subset i of the hyperplane H. We prove the above configuration is an association scheme and compute its parameters.