  In this paper, we consider graded associative conformal algebras. The class
of these objects includes pseudo-algebras over non-cocommutative Hopf algebras
of regular functions on some linear algebraic groups. In particular, an
associative conformal algebra which is graded by a finite group $\Gamma $ is a
pseudo-algebra over the coordinate Hopf algebra of a linear algebraic group $G$
such that the identity component $G^0$ is the affine line and $G/G^0\simeq
\Gamma $. A classification of simple and semisimple graded associative
conformal algebras of finite type is obtained.
