Windmill Generators A generalization and an observation of how many there are

  • B. J. M. Smeets
  • W. G. Chambers
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 330)


The windmill technique has several practical advantageous over other techniques for high-speed generation or blockwise generation of pn-sequences. In this paper we generalize previous results by showing that if f(t)=α(t v) − β(t v )t L is the minimal polynomial of a pn-sequence, then the sequence can be generated by a windmill generator. For L = 1, ...127, and ν = 4, 8, 16 such that L ≡ ±3 mod 8 no irreducible polynomials f(t) were found. When L ≡ ±1 mod 8 the number of primitive f(t)’s was found to be approximately twice the expected number.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1988

Authors and Affiliations

  • B. J. M. Smeets
    • 1
  • W. G. Chambers
    • 2
  1. 1.Dept of Inform. TheoryUniversity of LundLundSweden
  2. 2.Dept of Eletronic and Electrical EngineeringKing’s College LondonStrand, LondonUK

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