伪辛空间F_q^(2v+1+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+1+l)) and its structure

利用伪辛空间F_q^(2v+1+l)中一类2-维非迷向子空间构造了具有2q-2个结合类的交换的但非对称结合方案,讨论了其构造,证明了它是其基础域上的乘法群上我们熟知的结合方案的扩张。

This paper obtains a commutative and non-symmetric association scheme of class 2q - 2 using a kind of 2-dimensional non-isotropic subspaces of singular pseudo-symplectic space F_q^(2v+1+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.