Decision algorithms for cellular automata states based on periodic boundary condition

  • Authors:
  • Byung-Heon Kang;Jun-Cheol Jeon;Kee-Young Yoo

  • Affiliations:
  • Dept of Computer Engineering, Kyungpook National University, Daegu, Korea;Dept of Computer Engineering, Kyungpook National University, Daegu, Korea;Dept of Computer Engineering, Kyungpook National University, Daegu, Korea

  • Venue:
  • ACRI'06 Proceedings of the 7th international conference on Cellular Automata for Research and Industry
  • Year:
  • 2006

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Abstract

Das et al have reported characterization of reachable/non-reachable CA states recently Their scheme has only offered the characterization under a null boundary CA (NBCA) However, in hardware implementation, a periodic boundary CA (PBCA) is suitable for constructing cost-effective schemes such as a linear feedback shift register structure because of its circular property Thus, this paper provides two decision algorithms for classification of reachable/non-reachable state and group/non-group CA based on periodic boundary condition.