Abstract

In this work we study the algebraic behavior of three dimensional linear cellular automata over Zm: we provide necessary and sufficient conditions for a three dimensional linear cellular automata over Zm to be reversible or irreversible. As a consequence of our result we characterize three dimensional linear cellular automata under the null boundary conditions. Three dimensional cellular automata wasn't much studied by researches. Tsalides et al. characterized three dimensional cellular automata in [1] and then Hemmingsson investigated quasi periodic behavior of three dimensional cellular automata in [2].

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call

Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.