Article ID Journal Published Year Pages File Type
428829 Information Processing Letters 2007 4 Pages PDF
Abstract

In this paper we study the invertibility of one-dimensional cellular automata, determined by a local rule, acting on the space of all doubly-infinite sequences taking values in a finite Galois ring. We also compute the topological entropy of one-dimensional CA generated by additive local rule over a finite Galois ring. We conclude by showing that the topological entropy of an additive invertible CA over a finite Galois ring is equal to its inverse.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics