Shift Registers Fool Finite Automata

نویسنده

  • Bjørn Kjos-Hanssen
چکیده

Let x be an m-sequence, a maximal length sequence produced by a linear feedback shift register. We show that the nondeterministic automatic complexity AN (x) is close to maximal: n/2 − AN (x) = O(log 2 n), whereas Hyde has shown AN (y) ≤ n/2 + 1 for all sequences y.

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تاریخ انتشار 2017