The most significant bit of maximum-length sequences over Z2l: autocorrelation and imbalance

  • Authors:
  • P. Sole;D. Zinoviev

  • Affiliations:
  • CNRS-I3S, Sophia Antipolis, France;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

The imbalance and the autocorrelation of the binary sequences in the title are explored by combining the local Weil bound with spectral analysis. Recent estimates on these quantities are improved by a factor of order 2l2/, for large l.