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On the linear complexity of nonlinearly filtered PN-sequences

  • Amparo Fúster-Sabater
  • Pino Caballero-Gil
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 917)

Abstract

A method of analysis for the linear complexity of nonlinearly filtered PN-sequences is presented. The procedure provides a general lower bound for the linear complexity and an algorithm to improve it. The results obtained are valid for any nonlinear function with a unique term of maximum order and for any maximal-length LFSR. This work, which has as starting point “the root presence test” by Rueppel, is based on the handling of binary strings instead of determinants in a finite field.

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References

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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Amparo Fúster-Sabater
    • 1
  • Pino Caballero-Gil
    • 2
  1. 1.Laboratory of CryptographyInstitute of Electronics of Communications (CSIC)MadridSpain
  2. 2.Department of Statistics, Operations Research and Computation, Faculty of MathsUniversity of La LagunaLa LagunaSpain

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