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Maximally equidistributed pseudorandom number generators via linear output transformations

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  • Harase, Shin

Abstract

This article discusses construction of maximally equidistributed (ME) linear feedback shift register generators by using linear output transformations. We introduce a new strategy to find linear output transformations attaining the ME property, and apply it to the WELL generators and the Mersenne Twister. As a result, we found a modified version of the WELL generators with the ME property, having fewer operations than the original ME WELL generators. We also found a ME Mersenne Twister which is faster than the WELL generators with a period of 219937−1 on some platforms. The C codes of the obtained generators are available at http://www3.ocn.ne.jp/∼harase/megenerators.html.

Suggested Citation

  • Harase, Shin, 2009. "Maximally equidistributed pseudorandom number generators via linear output transformations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(5), pages 1512-1519.
    • Handle: RePEc:eee:matcom:v:79:y:2009:i:5:p:1512-1519
    DOI: 10.1016/j.matcom.2008.06.006
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