The linear complexity of the self-shrinking generator

  • Authors:
  • S. R. Blackburn

  • Affiliations:
  • Dept. of Math., London Univ.

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

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Abstract

The self-shrinking generator, a stream cipher due to Meier and Staffelbach (see Advances in Cryptology-EUROCRYPT'94, Berlin, Germany, p.205-14, 1995 and Lecture Notes in Computer Science, vol.950), uses the output of a primitive binary linear-feedback shift register (LFSR) of length n to generate a keystream sequence of period dividing 2n-1 . The article proves that the linear complexity of the keystream is at most 2n-1-(n-2). This confirms the surprising experimental observations of Meier and Staffelbach