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Marsaglia recently introduced a class of xorshift random number generators (RNGs) with periods 2n-1 for n = 32, 64, etc. Here we give a generalisation of Marsaglia's xorshift generators in order to obtain fast and high-quality RNGs with…

Data Structures and Algorithms · Computer Science 2010-04-20 Richard P. Brent

Marsaglia proposed recently xorshift generators as a class of very fast, good-quality pseudorandom number generators. Subsequent analysis by Panneton and L'Ecuyer has lowered the expectations raised by Marsaglia's paper, showing several…

Data Structures and Algorithms · Computer Science 2016-10-14 Sebastiano Vigna

xorshift* generators are a variant of Marsaglia's xorshift generators that eliminate linear artifacts typical of generators based on $\mathbf Z/2\mathbf Z$-linear operations using multiplication by a suitable constant. Shortly after…

Data Structures and Algorithms · Computer Science 2016-05-24 Sebastiano Vigna

In this paper, a new pseudo-random number generator (PRNG) based on chaotic iterations is proposed. This method also combines the digits of two XORshifts PRNGs. The statistical properties of this new generator are improved: the generated…

Cryptography and Security · Computer Science 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

Xorshift128+ is a newly proposed pseudorandom number generator (PRNG), which is now the standard PRNG on a number of platforms. We demonstrate that three-dimensional plots of the random points generated by the generator have visible…

Mathematical Software · Computer Science 2021-08-25 Hiroshi Haramoto , Makoto Matsumoto , Mutsuo Saito

Pulsars exhibit signals with precise inter-arrival times that are on the order of milliseconds to seconds, depending on the individual pulsar. There are subtle variations in the timing of pulsar signals. We show that these variations can…

Cryptography and Security · Computer Science 2025-04-24 Hayder Tirmazi

In this paper, a new chaotic pseudo-random number generator (PRNG) is proposed. It combines the well-known ISAAC and XORshift generators with chaotic iterations. This PRNG possesses important properties of topological chaos and can…

Cryptography and Security · Computer Science 2010-12-22 Christophe Guyeux , Qianxue Wang , Jacques M. Bahi

Many Random Number Generators (RNG) are available nowadays; they are divided in two categories, hardware RNG, that provide "true" random numbers, and algorithmic RNG, that generate pseudo random numbers (PRNG). Both types usually generate…

Information Theory · Computer Science 2018-09-28 Andrea C. G. Mennucci

A novel Mathematical Random Number Generator (MRNG) is presented here. In this case, "mathematical" refers to the fact that to construct that generator it is not necessary to resort to a physical phenomenon, such as the thermal noise of an…

Numerical Analysis · Computer Science 2012-11-22 Osvaldo Skliar , Ricardo E. Monge , Sherry Gapper , Guillermo Oviedo

A Pseudo-Random Number Generator (PRNG) is any algorithm generating a sequence of numbers approximating properties of random numbers. These numbers are widely employed in mid-level cryptography and in software applications. Test suites are…

Cryptography and Security · Computer Science 2020-11-20 Luca Pasqualini , Maurizio Parton

Xorshift128+ are pseudo random number generators with eight sets of parameters. Some of them are standard generators in many platforms, such as JavaScript V8 Engine. We show that in the 3D plots generated by this method, points concentrate…

Cryptography and Security · Computer Science 2019-08-28 Hiroshi Haramoto , Makoto Matsumoto

This is a review of pseudorandom number generators (RNG's) of the highest quality, suitable for use in the most demanding Monte Carlo calculations. All the RNG's we recommend here are based on the Kolmogorov-Anosov theory of mixing in…

Computational Physics · Physics 2019-05-30 Frederick James , Lorenzo Moneta

In this article, we propose a new counter-based implementation of John von Neumann's middle-square random number generator (RNG). Several rounds of squaring are applied to a counter to produce a random output. We discovered that four rounds…

Data Structures and Algorithms · Computer Science 2022-03-15 Bernard Widynski

A recursive random number generator using prime reciprocals is described.

Cryptography and Security · Computer Science 2009-07-31 Subhash Kak

In this paper, a new pseudorandom number generator (PRNG) based on the logistic map has been proposed. To prevent the system to fall into short period orbits as well as increasing the randomness of the generated sequences, the proposed…

Signal Processing · Electrical Eng. & Systems 2024-01-29 Miguel Garcia-Bosque , Adrián Pérez-Resa , Carlos Sánchez-Azqueta , Concepción Aldea , Santiago Celma

A new method for parallel generation of $q$-valued pseudorandom sequence based on the presentation of systems generating logical formulae by means of arithmetic polynomials is proposed. Fragment consisting of $k$-elements of $q$-valued…

Cryptography and Security · Computer Science 2018-09-10 Oleg Finko , Dmitriy Samoylenko , Sergey Dichenko , Nikolay Eliseev

Quality randomness is fundamental to cryptographic operations but on embedded systems good sources are (seemingly) hard to find. Rather than use expensive custom hardware, our ERHARD-RNG Pseudo-Random Number Generator (PRNG) utilizes…

Cryptography and Security · Computer Science 2019-11-12 Jacob Grycel , Robert J. Walls

Random number generators (RNG) are an important resource in many areas: cryptography (both quantum and classical), probabilistic computation (Monte Carlo methods), numerical simulations, industrial testing and labeling, hazard games,…

Quantum Physics · Physics 2015-05-27 Mario Stipcevic

The multiple-recursive matrix method for generating pseudorandom vectors was introduced by Niederreiter (Linear Algebra Appl. 192 (1993), 301-328). We propose an algorithm for finding an efficient primitive multiple-recursive matrix method.…

Cryptography and Security · Computer Science 2017-03-21 Susil Kumar Bishoi , Himanshu Kumar Haran , Sartaj Ul Hasan

In this article, we propose a new implementation of John von Neumann's middle-square random number generator (RNG). A Weyl sequence keeps the generator running through a long period.

Cryptography and Security · Computer Science 2022-03-22 Bernard Widynski
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