ON 1D REVERSIBLE CELLULAR AUTOMATA WITH REFLECTIVE BOUNDARY OVER THE PRIME FIELD OF ORDER p


Akin H., Sah F. , Siap I.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, cilt.23, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 23 Konu: 1
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1142/s0129183111017020
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C

Özet

In this paper, we study one dimensional finite linear cellular automata with reflective boundary condition by using matrix algebra built on the field Z(p). We present an algorithm for determining the reversibility of this family of cellular automata. We also answer the reversibility question for some special subfamilies. Finally, we present some examples of this family of cellular automata under the reflective boundary condition.