基于有限域上三维非全迷向子空间的辛图OACSTPCD

In this paper,we construct a kind of symplectic graph denoted by Γ with the vertex set consisting of 3-dimensional non-totally isotropic subspaces in the 2v-dimensional symplectic space F(2v)q defined over the finite field Fq.Two vertices V1 and V2 of Γ are adjacent if and only if V1 ∩ V2 is a 2-dimensional subspace of F(2v)q.We investigate the basic properties of this graph and compute its parameters.We obtain that when v=2,the graph is a complete graphK(q+1)(q2+1);when v=3,it is an 8-Deza graph;and when v ≥ 4,it is a 9-Deza graph.Furthermore,it is shown that the diameter and girth of the graph are both 3 when v ≥ 3,and the clique number is q2v-2-1/q-1.