Random Sequence Generation by Cellular Automata

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چکیده

A J -dimensional cellular automaton which generates random sequences is discussed. Each site in the cellular automaton has value 0 or J, and is updated in parallel according to the rule a; = ai_1 XOR (ai OR ai+l ) (a; = (ai_1 +ai +ai+1 +aiai+l ) mod 2). Despite the simplicity of this rule, the time sequences of site values that it yields seem to be completely random. These sequences are analysed by a variety of empirical, combinatorial, statistical, dynamical systems theory and computation theory methods. An efficient random sequence generator based on them is suggested.

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تاریخ انتشار 2013