NEW PRIMITIVE TRINOMIALS OF MERSENNE-EXPONENT DEGREES FOR RANDOM-NUMBER GENERATION

J.R. Heringa, H.W.J. Blöte and A. Compagner
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J.R. Heringa: Faculty of Applied Physica, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
H.W.J. Blöte: Faculty of Applied Physica, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands
A. Compagner: Faculty of Applied Physica, Delft University of Technology, Lorentzweg 1, 2628 CJ Delft, The Netherlands

International Journal of Modern Physics C (IJMPC), 1992, vol. 03, issue 03, 561-564

Abstract: The list of primitive binary trinomials with a degree equal to a Mersenne exponent is extended. The newly found primitive trinomials have a degree equal to the 29th and 30th Mersenne exponent. These trinomials enable the construction of new, high-performance random-number generators for use in large-scale Monte Carlo simulations.

Keywords: Random-number Generation; Primitive Trinomials; Mersenne Exponent; Shift Register (search for similar items in EconPapers)
Date: 1992
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DOI: 10.1142/S0129183192000361

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