Abstract:

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 singularpseudosymplectic space F\+\{(2v+2+l)\-q and  discusses its structure. This scheme can be obtained by the
extension of those of additive group and multiplicative group of the base fieldand some other simple association schemes.

Key words: Pseudosymplectic space, Association schemes, Extension of association schemes