Correlation Immunity and the Summation Generator

  • Rainer A. Rueppel
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 218)


It is known that for a memoryless mapping from GF(2)N into GF(2) the nonlinear order of the mapping and its correlation-immunity form a linear tradeoff. In this paper it is shown that the same tradeoff does no longer hold when the function is allowed to have memory. Moreover, it is shown that integer addition, when viewed over GF(2), defines an inherently nonlinear function with memory whose correlation-immunity is maximum. The summation generator which sums N binary sequences over the integers is shown as an application of integer addition in random sequence generation.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1986

Authors and Affiliations

  • Rainer A. Rueppel
    • 1
  1. 1.CMRRUniversity of California, San DiegoLa Jolla

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