Analysis of complemented CA derived from linear hybrid group CA

  • Authors:
  • Sung-Jin Cho;Un-Sook Choi;Han-Doo Kim;Yoon-Hee Hwang

  • Affiliations:
  • Division of Mathematical Sciences, Pukyong National University, Busan 608-737, Republic of Korea;Department of Multimedia Engineering, Tongmyong University, Busan 608-711, Republic of Korea;School of Computer Aided Science, Inje University, Gimhae, 621-749, Republic of Korea;Department of Information Security, Graduate School, Pukyong National University, Busan 608-737, Republic of Korea

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2007

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Abstract

In this paper, we analyze complemented group Cellular Automata (CA) derived from Linear Hybrid Group CA with rules 60, 102 and 204. We analyze some properties of the CA. And we give rule vectors which determine the state transition of the CA dividing the entire state space into smaller spaces of equal lengths, and find conditions for the complement vectors corresponding to the rule vectors. And we extend and generalize Mukhopadhyay's results [D. Mukhopadhyay, D.R. Chowdhury, Characterization of a class of complemented group cellular automata, in: Proc. ACRI 2004, in: LNCS, vol. 3305, 2004, pp. 775-784].