• DocumentCode
    1503768
  • Title

    A Transformation From the Fibonacci to the Galois NLFSRs

  • Author

    Dubrova, Elena

  • Author_Institution
    R. Inst. of Technol. (KTH), Stockholm, Sweden
  • Volume
    55
  • Issue
    11
  • fYear
    2009
  • Firstpage
    5263
  • Lastpage
    5271
  • 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.
  • Keywords
    Fibonacci sequences; Galois fields; feedback; shift registers; Fibonacci configuration; Galois NLFSRs; nonlinear feedback shift registers; Clocks; Cryptography; Feedback circuits; Information security; Random sequences; Shift registers; State feedback; Throughput; Web sites; Wire; Fibonacci NLFSR; Galois NLFSR; keystream; pseudorandom sequence; stream cipher;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2009.2030467
  • Filename
    5290281