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Mathematics of Computation

Published by the American Mathematical Society, the Mathematics of Computation (MCOM) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.98.

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Figures of merit for digital multistep pseudorandom numbers
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by Debra A. André, Gary L. Mullen and Harald Niederreiter PDF
Math. Comp. 54 (1990), 737-748 Request permission

Abstract:

The statistical independence properties of s successive digital multistep pseudorandom numbers are governed by the figure of merit ${\rho ^{(s)}}(f)$ which depends on s and the characteristic polynomial f of the recursion used in the generation procedure. We extend previous work for s = 2 and describe how to obtain large figures of merit for $s > 2$, thus arriving at digital multistep pseudorandom numbers with attractive statistical independence properties. Tables of figures of merit for $s = 3,4,5$ and degrees $\leq 32$ are included.
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Additional Information
  • © Copyright 1990 American Mathematical Society
  • Journal: Math. Comp. 54 (1990), 737-748
  • MSC: Primary 65C10
  • DOI: https://doi.org/10.1090/S0025-5718-1990-1011436-4
  • MathSciNet review: 1011436