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Title: On the average distribution of inversive pseudorandom numbers
Authors: Niederreiter, H. 
Shparlinski, I.E.
Keywords: Digital inversive generator
Inversive congruential generator
Pseudorandom numbers
Issue Date: Oct-2002
Citation: Niederreiter, H.,Shparlinski, I.E. (2002-10). On the average distribution of inversive pseudorandom numbers. Finite Fields and their Applications 8 (4) : 491-503. ScholarBank@NUS Repository.
Abstract: The inversive congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. The authors have recently introduced a new method for obtaining nontrivial upper bounds on the multidimensional discrepancy of inversive congruential pseudorandom numbers in parts of the period. This method has also been used to study the multidimensional distribution of several other similar families of pseudorandom numbers. Here we apply this method to show that, "on average" over all initial values, much stronger results than those known for "individual" sequences can be obtained. © 2002 Elsevier Science (USA).
Source Title: Finite Fields and their Applications
ISSN: 10715797
Appears in Collections:Staff Publications

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