Strong deviations from randomness in m-sequences based on trinomials

  • Authors:
  • Makoto Matsumoto;Yoshiharu Kurita

  • Affiliations:
  • Keio Univ., Yokohama, Japan;National Research Lab. of Metrology, Ibaraki, Japan

  • Venue:
  • ACM Transactions on Modeling and Computer Simulation (TOMACS)
  • Year:
  • 1996

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Abstract

The fixed vector of any m-sequence based on a trinomial is explicitly obtained. Local nonrandomness around the fixed vector is analyzed through model-construction and experiments. We conclude that the initial vector near the fixed vector should be avoided.