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Good random number generators are (not so) easy to find
Every random number generator has its advantages and deficiencies. There are no “safe” generators. The practitioner's problem is how to decide which random number generator will suit his needs best.Expand
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Random Number Generators: Selection Criteria and Testing
A random number generator produces a periodic sequence of numbers on a computer. The starting point can be random, but after it is chosen, everything else is deterministic. The goal is to “fake” theExpand
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Empirical evidence concerning AES
TLDR
We study the performance of AES in a series of statistical tests that are related to cryptographic notions like confusion and diffusion and provide empirical evidence for the suitability of AES for stochastic simulation. Expand
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Inversive pseudorandom number generators: concepts, results and links
TLDR
We survey the outstanding performance of inversive pseudorandom number generators in theoretical and empirical tests, in comparison to linear generators. Expand
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Don't trust parallel Monte Carlo!
  • P. Hellekalek
  • Computer Science
  • Workshop on Parallel and Distributed Simulation
  • 1 July 1998
TLDR
We present a review of the main concepts to produce random numbers on parallel processors and further, we illustrate some phenomena that occur with parallelization. Expand
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Dyadic Diaphony
1. Introduction. Diaphony (see Zinterhof [13] and Kuipers and Nieder-reiter [6, Exercise 5.27, p. 162]) is a numerical quantity that measures the irregularity of the distribution of sequences in theExpand
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On correlation analysis of pseudorandom numbers
In this paper we discuss the theoretical analysis of correlations between pseudorandom numbers. We present a new concept that allows to relate the discrepancy approach to the spectral test. Up toExpand
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General discrepancy estimates: the Walsh function system
(A) generation of uniform pseudorandom numbers (in the normalized domain [0, 1[), (B) quasi-Monte Carlo methods (i.e. random samples in a Monte Carlo method are replaced by deterministic points) aExpand
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A notion of diaphony based on p-adic arithmetic
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