Generation of binary sequences with controllable complexity and ideal γ-tupel distribution

  • Authors:
  • Thomas Siegenthaler;Réjane Forré;Amstein Walthert Kleiner

  • Affiliations:
  • Information Systems Engineering AG, Zürich, Switzerland and Amstein Walthert Kleiner;ETH Zentrum, Zürich, Switzerland and Inst. for Communications Technology;ETH Zentrum, Zürich, Switzerland and Inst. for Communications Technology

  • Venue:
  • EUROCRYPT'87 Proceedings of the 6th annual international conference on Theory and application of cryptographic techniques
  • Year:
  • 1987

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Abstract

A key stream generator is analyzed which consists of a single linear feedback shift register (LFSR) with a primitive connection polynomial and a nonlinear feedforward logic. It is shown, how, for arbitrary integers n and r and a binary LFSR of length L = n ċ r the linear complexity of the generated keystream can be determined for a large class of nonlinear feedforward logics. Moreover, a simple condition imposed on these logics ensures an ideal r-tupel distribution for these keystreams. Practically useful solutions exist where the keystream has linear complexity n ċ rn-1 together with an ideal r-tupel distribution.