Dynamics of finite linear cellular automata over ZN
نویسندگان
چکیده
We investigate the behaviour of linear cellular automata with state space ZN and only finitely many states. After some general comments about linear cellular automata over ZN , the general case is reduced to that of N being the power of a prime. For a prime power modulus, it is proved under fairly general conditions that the period length for “most” orbits increase by a factor of p when the modulus increases from pk to pk+1. Some specific comments about the maximal period length modulo N are also given for shift invariant linear cellular automata.
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