Explicit digital inversive pseudorandom numbers (Q2777519)
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scientific article; zbMATH DE number 1717384
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Explicit digital inversive pseudorandom numbers |
scientific article; zbMATH DE number 1717384 |
Statements
7 March 2002
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random number generation
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discrepancy
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algorithm
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explicit digital inversive method
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uniform pseudorandom numbers
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statistical independence
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exponential sums
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Weil bound
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0.96640253
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0.9129117
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0.90524405
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0.90506285
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0.89811754
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0.89421344
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Explicit digital inversive pseudorandom numbers (English)
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The author introduces a new algorithm, the explicit digital inversive method, for the generation of uniform pseudorandom numbers. In particular, the statistical independence properties of the corresponding pseudorandom sequences (over parts of the period) are studied. This leads to interesting discrepancy bounds which are proved via exponential sums applying classical Weil bound.
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