On cellular automata over Galois rings


Akin H., Siap I.

INFORMATION PROCESSING LETTERS, cilt.103, ss.24-27, 2007 (SCI İndekslerine Giren Dergi)

  • Cilt numarası: 103 Konu: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.ipl.2007.02.002
  • Dergi Adı: INFORMATION PROCESSING LETTERS
  • Sayfa Sayısı: ss.24-27

Özet

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. (c) 2007 Elsevier B.V. All rights reserved.