The independence of two randomness properties of sequences over finite fields

  • Authors:
  • Harald Niederreiter

  • Affiliations:
  • -

  • Venue:
  • Journal of Complexity
  • Year:
  • 2012

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Abstract

We prove the logical independence of a complexity-theoretic and a statistical randomness property of sequences over a finite field. The two properties relate to the linear complexity profile and to the ~-distribution of sequences, respectively. The proofs are given by constructing counterexamples to the presumed logical implications between these two properties.