伪辛空间F_q^(2v+2+l)中一类2-维子空间的结合方案及其结构

The Association Schemes of a Kind of 2-dimensional Subspaces of Pseudo-symplectic Space F_q^(2v+2+l) and Its Structure

该文利用伪辛空间Fq(2v+2+l)中一类2-维非迷向子空间构作了具有2q-1个结合类的交换 的但非对称的结合方案,并且讨论了它的结构,证明了它是其基础域上的加法群和乘法群上的 熟知的结合方案的扩张.

This paper obtains a commutative and non-symmetric association scheme of class 2q-1 by using a kind of 2-dimensional non-isotropic subspaces of singular pseudo symplectic space Fq(2v+2+l) and discusses its structure. This scheme can be obtained by the extension of those of additive group and multiplicative group of the base field and some other simple association schemes.