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In simulations, probabilistic algorithms and statistical tests, we often generate random integers in an interval (e.g., [0,s)). For example, random integers in an interval are essential to the Fisher-Yates random shuffle. Consequently,…

Data Structures and Algorithms · Computer Science 2019-06-10 Daniel Lemire

Random residue sequences (RR) may be used in many random number applications including those related to multiple access in communications. This paper investigates variations on an algorithm to generate RR sequences that was proposed earlier…

Cryptography and Security · Computer Science 2014-06-13 Vamsi Sashank Kotagiri

Pseudo-random number generators (PRNGs) are widely used in modern computing and are expected to exhibit excellent statistical performance and repeatability. This study evaluates and compares modern PRNGs used in high performance computing…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-19 Théau Wartel , David R. C. Hill

To increase the number of wireless devices, e.g., mobile or IoT terminals, cryptosystems are essential for secure communications. In this regard, random number generation is crucial because the appropriate function of cryptosystems relies…

Information Theory · Computer Science 2019-03-19 Toshinori Suzuki , Masahiro Kaminaga

Currently, statistical tests for random number generators (RNGs) are widely used in practice, and some of them are even included in information security standards. But despite the popularity of RNGs, consistent tests are known only for…

Statistics Theory · Mathematics 2021-05-17 Boris Ryabko

A random number generator for the Kappa velocity distribution in particle simulations is proposed. Approximating the cumulative distribution function with the q-exponential function, an inverse transform procedure is constructed. The…

Plasma Physics · Physics 2026-05-12 Seiji Zenitani , Takayuki Umeda

Quantum random number generators (QRNGs) harness the intrinsic randomness in measurement processes: the measurement outputs are truly random given the input state is a superposition of the eigenstates of the measurement operators. In the…

Quantum Physics · Physics 2017-11-29 Bing Qi

We present the realization of a physical quantum random number generator based on the process of splitting a beam of photons on a beam splitter, a quantum mechanical source of true randomness. By utilizing either a beam splitter or a…

Quantum Physics · Physics 2009-10-31 Thomas Jennewein , Ulrich Achleitner , Gregor Weihs , Harald Weinfurter , Anton Zeilinger

The von Neumann graph entropy (VNGE) can be used as a measure of graph complexity, which can be the measure of information divergence and distance between graphs. However, computing VNGE is extensively demanding for a large-scale graph. We…

Information Theory · Computer Science 2019-07-23 Hayoung Choi , Jinglian He , Hang Hu , Yuanming Shi

This paper targets to search so-called \emph{good} generators by doing a brief survey over the generators developed in the history of pseudo-random number generators (PRNGs), verify their claims and rank them based on strong empirical tests…

Cryptography and Security · Computer Science 2025-08-19 Kamalika Bhattacharjee , Sukanta Das

Quantum-proof randomness extraction is essential for handling quantum side information possessed by a quantum adversary, which is widely applied in various quantum cryptography tasks. In this study, we introduce a real-time two-source…

Quantum Physics · Physics 2024-02-23 Qian Li , Hongyi Zhou

In this work it is shown how 128 bit SSE2 multimedia extension registers, present in Pentium IV class 32 bit processors, may be used to generate random numbers at several times greater speed then when regular general purpose registers are…

Computational Physics · Physics 2007-05-23 Borko D. Stosic

We introduce the R package clrng which leverages the gpuR package and is able to generate random numbers in parallel on a Graphics Processing Unit (GPU) with the clRNG (OpenCL) library. Parallel processing with GPU's can speed up…

Computation · Statistics 2024-04-16 Ruoyong Xu , Patrick Brown , Pierre L'Ecuyer

The problem of constructing effective statistical tests for random number generators (RNG) is considered. Currently, there are hundreds of RNG statistical tests that are often combined into so-called batteries, each containing from a dozen…

Statistics Theory · Mathematics 2020-07-15 Boris Ryabko

Quantum randomness relies heavily on the accurate characterization of the generator implementation, where the device imperfection or inaccurate characterization can lead to incorrect entropy estimation and practical bias, significantly…

Quantum Physics · Physics 2024-09-12 You-Qi Nie , Hongyi Zhou , Bing Bai , Qi Xu , Xiongfeng Ma , Jun Zhang , Jian-Wei Pan

In this paper we propose a new ternary QRNG based on measuring located value indefinite observables with probabilities $1/4, 1/2,1/4$ and prove that every sequence generated is maximally unpredictable, 3-bi-immune (a stronger form of…

Quantum Physics · Physics 2020-09-22 José Manuel Agüero Trejo , Cristian S. Calude

Quantum random number generators can provide genuine randomness by appealing to the fundamental principles of quantum mechanics. In general, a physical generator contains two parts---a randomness source and its readout. The source is…

Quantum Physics · Physics 2016-03-01 Zhu Cao , Hongyi Zhou , Xiao Yuan , Xiongfeng Ma

The recently introduced multifractal network generator (MFNG), has been shown to provide a simple and flexible tool for creating random graphs with very diverse features. The MFNG is based on multifractal measures embedded in 2d, leading…

Data Analysis, Statistics and Probability · Physics 2015-03-17 G. Palla , P. Pollner , T. Vicsek

Security proofs of quantum key distribution (QKD) systems usually assume that the users have access to source of perfect randomness. State-of-the-art QKD systems run at frequencies in the GHz range, requiring a sustained GHz rate of…

Quantum Physics · Physics 2015-04-30 A. Martin , B. Sanguinetti , C. C. W. Lim , R. Houlmann , H. Zbinden

The power of quantum random number generation is more than just the ability to create truly random numbers$\unicode{x2013}$it can also enable self-testing, which allows the user to verify the implementation integrity of certain critical…

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