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A New Cryptanalytic Attack for PN-generators Filtered by a Boolean Function

  • Sabine Leveiller
  • Gilles Zémor
  • Philippe Guillot
  • Joseph Boutros
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2595)

Abstract

We present a new cryptanalytic attack on PN-generators filtered by a Boolean function. The key-idea is to jointly combine the knowledge of the Boolean function and the LFSR structure so as to introduce a new iterative decoding technique. The results we obtained prove to be very good: indeed, even in the case of systems for which classical iterative algorithms appear powerless, our scheme enables us to recover the LFSR initial state with a very low error probability. The latter is such that ending the algorithm by an exhaustive search among sequences of limited length is hardly needed. Therefore, the overall complexity of our scheme remains very small and the algorithm appears as an excellent candidate for cryptanalysis of filtered PN-generators.

Keywords

Boolean functions stream ciphers APP decoding Fourier transform 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Sabine Leveiller
    • 1
    • 2
  • Gilles Zémor
    • 2
  • Philippe Guillot
    • 3
  • Joseph Boutros
    • 2
  1. 1.Thales CommunicationGenevilliersFrance
  2. 2.Ecole Nationale Supérieure des TélécommunicationsParisFrance
  3. 3.Canal-Plus TechnologiesParisFrance

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