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- W871365907 abstract "method for the construction of low-discrepancy point sets in the s-dimensional unit cube. Furthermore, by recent work it turned out that digital nets also play an important role in the analysis of certain pseudo-random number generators. Until now the discrepancy of digital nets essentially was estimated by using discrepancy bounds valid for arbitrary nets. In this paper we give a more sensible—in some sense—discrepancy bound, especially for digital nets generated over a finite field of prime order, and we apply this bound for improving some results concerning the serial test of certain pseudo-random number generators. The serial test is a test for the statistical independence of successive" @default.
- W871365907 created "2016-06-24" @default.
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- W871365907 date "1998-01-01" @default.
- W871365907 modified "2023-09-30" @default.
- W871365907 title "A bound for the discrepancy of digital nets and its application to the analysis of certain pseudo-random number generators" @default.
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- W871365907 doi "https://doi.org/10.4064/aa-83-1-1-15" @default.
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