On the limit of maximal density of sequences with a PerfectLinear Complexity Profile

  • Authors:
  • Alice E. D. Houston

  • Affiliations:
  • International Space University, Paro d‘/Innovation, Blvd. Gonthier d‘/Andernach, 67400 Illkirch-Graffenstaden, France/ houston@isu.isunet.edu

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1997

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Abstract

Abinary sequence with a Perfect Linear Complexity Profile (PLCP)has all the jumps in its linear complexity profile of heightexactly 1. We prove the conjecture made in Ho that the limitof the maximum density (proportion of ones) over all PLCPs ofa particular length is 2/3 as the length tends to infinity.