In this talk, we address the problem of moment stabilization of a linear dynamical system where the state is transmitted for control over a digital communication channel. There has recently been interest in characterizing the minimum information rate that is required to guarantee stability of the system over a given communication channel. However, most of the existing results on stabilization of stochastic systems affected by unbounded disturbances are limited to the case of second moment stability. In this talk, we present the extension to the case of m-th moment stability. The generalization is based on an information-theoretic argument that hinges upon a maximum entropy theorem combined with the entropy power inequality.