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Analysis of one-dimensional linear hybrid cellular automata over GF(q)

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2 Author(s)
Cattell, K. ; Dept. of Comput. Sci., Victoria Univ., BC, Canada ; Muzio, Jon C.

The paper studies theoretical aspects of one dimensional linear hybrid cellular automata over a finite (Galois) field. General results concerning the characteristic polynomials of such automata are presented. A probabilistic synthesis algorithm for determining such a linear hybrid cellular automaton with a specific characteristic polynomial is given, along with empirical results and a theoretical analysis. Cyclic boundary cellular automata are defined and related to the more common null boundary cellular automate. An explicit similarity transform between a cellular automaton and its corresponding linear feedback shift register is derived

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Computers, IEEE Transactions on  (Volume:45 ,  Issue: 7 )