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On the Linearity of Cryptographic Sequence Generators

  • Amparo Fuster-Sabater
  • Oscar Delgado-Mohatar
  • Ljiljana Brankovic
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6017)

Abstract

In this paper we show that the output sequences of the generalized self-shrinking generator are particular solutions of a binary homogeneous linear difference equation. In fact, all these sequences are just linear combinations of primary sequences weighted by binary coefficients. We show that in addition to the output sequences of the generalized self-shrinking generator, the complete class of solutions of the corresponding binary homogeneous linear difference equation also includes other balanced sequences that are very suitable for cryptographic applications, as they have the same period and even greater linear complexity than the generalized self-shrinking sequences. Cryptographic parameters of all the above mentioned sequences can be analyzed in terms of linear equation solutions.

Keywords

binary sequence linear difference equation generalized self-shrinking generator cryptography 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Amparo Fuster-Sabater
    • 1
  • Oscar Delgado-Mohatar
    • 1
  • Ljiljana Brankovic
    • 2
  1. 1.Institute of Applied PhysicsC.S.I.C.MadridSpain
  2. 2.School of Electrical Engineering and Computer ScienceUniversity of NewcastleCallaghanAustralia

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