A transformation from the Fibonacci to the Galois NLFSRs

  • Authors:
  • Elena Dubrova

  • Affiliations:
  • Royal Institute of Technology (KTH), Stockholm, Sweden

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2009

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Abstract

Conventional nonlinear feedback shift registers (NLFSRs) use the Fibonacci configuration in which the feedback is applied to the last bit only. In this paper, we show how to transform a Fibonacci NLFSR into an equivalent NLFSR in the Galois configuration, in which the feedback can be applied to every bit. Such a transformation can potentially reduce the depth of the circuits implementing feedback functions, thus decreasing the propagation time and increasing the throughput.