One-Dimensional Cellular Automata with Reflective Boundary Conditions and Radius Three |
| H. Akina, I. Siapb and S. Uguzc
aDepartment of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey bDepartment of Mathematics, Faculty of Art and Sciences, Yildiz Technical University, 34210, Istanbul, Turkey cDepartment of Mathematics, Faculty of Art and Sciences, Harran University, 63000, Istanbul, Turkey |
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| A family of one-dimensional finite linear cellular automata with reflective boundary condition over the field Zp is defined. The generalizations are the radius and the field 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. |
DOI: 10.12693/APhysPolA.125.405 PACS numbers: 02.10.Yn, 07.05.Kf, 02.10.Ox |