Maximal-Period Sequences Generated by Feedback-Limited Nonlinear Shift Registers

  • TSUNEDA Akio
    Department of Computer Science and Electrical Engineering, Kumamoto University
  • KUDO Kunihiko
    Department of Computer Science and Electrical Engineering, Kumamoto University
  • YOSHIOKA Daisaburo
    Department of Electronics and Computer Network Engineering, Sojo University
  • INOUE Takahiro
    Department of Computer Science and Electrical Engineering, Kumamoto University

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We propose feedback-limited NFSRs (nonlinear feedback shift registers) which can generate periodic sequences of period 2^k-1, where k is the length of the register. We investigate some characteristics of such periodic sequences. It is also shown that the scale of such NFSRs can be reduced by the feedback limitation. Some simulation and experimental results are shown including comparison with LFSRs (linear feedback shift registers) for conventional M-sequences and Gold sequences.

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