特征不为2的有限正交几何与PBIB设计(Ⅱ)(英文)

Finite Orthogonal Geometries with Characteristic ■2 and PBIB Designs (II)

在本文中,我们在特征不为2的有限正交几何中,取定一个(m,2s,s)型子空间P_0,再取不含于P_0且与P_0正交的(1,0,0)型子空间作处理,构作了一些结合方案和PBIB(3)、PBIB(2)设计,并计算了它们的参数.

Let P_0 be an arbitrarily fixed (m, 2s, s)-type subspace of a finite orthogonal geometry with characteristic≠2. Taking as treatments the (1,0,0)-type subspaces of this geometry which are orthogonal to P_0 but not included in P_0, A number of association schemes and PBIB designs with two or three associate classes are constructed.