Let G=Sp(2m,2) be a finite symplectic group acting on $F_2^{2m}$. This group G acts 2transitively on $\Omega_{+}$ and on $\Omega_{}$. Let $F$ be an algebraic closure of $F_2$. I am interested to know what are all $G$ invariant subspaces of $F^{\Omega_{+}}$ and ${F} ^{\Omega_{}}$. Does anyone know good reference where this is calculated?
