Quasi–Monte Carlo methods have become an increasingly popular alternative to Monte
Carlo methods over the last two decades. Their successful implementation on practical …

The fields of probability and statistics are built over the abstract concepts of probability space
and random variable. This has given rise to elegant and powerful mathematical theory, but …

In telecommunication networks, as in many other areas of science and engineering, the
proliferation of computers as research tools has resulted in the adoption of computer …

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 …

This review paper deals with nonlinear methods for the generation of uniform
pseudorandom numbers in the unit interval. The emphasis is on results of the theoretical …

Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators Page 1
Recent Advances in the Theory of Nonlinear Pseudorandom Number Generators Harald …

AES, the Advanced Encryption Standard, is one of the most important algorithms in modern
cryptography. Certain randomness properties of AES are of vital importance for its security …

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 …

We present a spectral test analysis of full-period subsequences with small step sizes
generated by well-known linear congruential pseudorandom number generators …

Different versions of the serial test for testing the uniformity and independence of vectors of
successive values produced by a (pseudo) random number generator are studied. These …