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Polynomial pseudo-random number generator via cyclic phase

Author

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  • Marchi, A.
  • Liverani, A.
  • Del Giudice, A.

Abstract

Fast and reliable pseudo-random number generator (PRNG) is required for simulation and other applications in scientific computing. In this work, a polynomial PRNG algorithm, based on a linear feedback shift register (LFSR) is presented. LFSR generator of order k determines a 2k−1 cyclic sequence period when the associated polynomial is primitive. The main drawback of this generator is the cyclicality of the shifted binary sequence. A non-linear transformation is proposed, which eliminates the underlying cyclicality and maintains both the characteristics of the original generator and the feedback function. The modified generator assures a good trade off between fastness and reliability and passes both graphical and statistical tests.

Suggested Citation

  • Marchi, A. & Liverani, A. & Del Giudice, A., 2009. "Polynomial pseudo-random number generator via cyclic phase," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(11), pages 3328-3338.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:11:p:3328-3338
    DOI: 10.1016/j.matcom.2009.05.006
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    References listed on IDEAS

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    1. Hellekalek, P., 1998. "Good random number generators are (not so) easy to find," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 46(5), pages 485-505.
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    Cited by:

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