The linear complexity profile and the jump complexity of keystream sequences

  • Authors:
  • Harald Niederreiter

  • Affiliations:
  • -

  • Venue:
  • EUROCRYPT '90 Proceedings of the workshop on the theory and application of cryptographic techniques on Advances in cryptology
  • Year:
  • 1991

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Abstract

We study the linear complexity profile and the jump complexity of keystream sequences in arbitrary finite fields. We solve counting problems connected with the jump complexity, establish formulas for the expected value and the variance of the jump complexity, and prove probabilistic theorems on the jump complexity profile of random sequences. We also extend earlier work on frequency distributions in the linear complexity profile to joint frequency distributions.