On cellular automata over Galois rings

Akin H., Siap I.

INFORMATION PROCESSING LETTERS, cilt.103, sa.1, ss.24-27, 2007 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 103 Sayı: 1
  • Basım Tarihi: 2007
  • Doi Numarası: 10.1016/j.ipl.2007.02.002
  • Dergi Adı: INFORMATION PROCESSING LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.24-27
  • Yıldız Teknik Üniversitesi Adresli: Hayır

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.