奇异正交几何与对称结合方案

SYMMETRIC ASSOCIATION SCHEMES CONSTRUCTED WITH SINGULAR ORTHOGONAL GEOMETRIES

推广并利用特征数不为２的有限域上的扩充正交群在奇异正交几何的子空间集合上的可迁性，给出了有关子空间的一个计数定理，并用２维全迷向子空间作处理构作了一个有多个结合类的对称结合方案，计算了全部参数．

This paper presents the construction of a several-class symmetric association scheme with the 2-dimensional totally isotropic subspaces, bssed on a generalized theorem of the transitivity of the extendal orthogonal group on the set of subspaces, of the singular orthogonal geometry over a finite field of characteristic≠2. An enumeration theorem is given as well.