  In this paper, under certain conditions we consider two-dimensional cellular
automata with the Moore neighborhood. Namely, the characterization of 2D linear
cellular automata defined by the Moore neighborhood with some mixed boundary
conditions over the field $\mathbb{Z}_{p}$ is studied. Furthermore, we
investigate the rule matrices of 2D Moore CA under some mixed boundary
conditions by applying rotation. Finally, we give the conditions under which
the obtained rule matrices for 2D finite CAs are reversible.
