The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present a new type of discrepancy bound for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers and a result on
✦ LIBER ✦
The lattice structure of nonlinear congruential pseudorandom numbers
✍ Scribed by Jürgen Eichenauer-Herrmann
- Book ID
- 110590866
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 201 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0026-1335
No coin nor oath required. For personal study only.
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This paper deals with the general nonlinear congruential method for generating uniform pseudorandom numbers, in which permutation polynomials over finite prime fields play an important role. It is known that these pseudorandom numbers exhibit an attractive equidistribution and statistical independen