Group Properties of Cellular Automata and VLSI Applications
IEEE Transactions on Computers
Theory of Self-Reproducing Automata
Theory of Self-Reproducing Automata
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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.