One-Dimensional Cellular Automata with Reflective Boundary Conditions and Radius Three
Hasan Akın, İrfan Şiap, Selman Uǧuz · Acta Physica Polonica A · 2014
A family of one-dimensional nite linear cellular automata with reective boundary condition over the eld Zp is dened.The generalizations are the radius and the eld that states take values.Here, we establish a connection between reversibility of cellular automata and the rule matrix of the cellular automata with radius three.Also, we prove that the reverse CA of this family again falls into this family.