A brief and understandable guide to pseudo-random number generators and specific models for security
From MaRDI portal
Publication:2137825
DOI10.1214/22-SS136zbMath1485.65007MaRDI QIDQ2137825
Publication date: 11 May 2022
Published in: Statistics Surveys (Search for Journal in Brave)
Full work available at URL: https://www.projecteuclid.org/journals/statistics-surveys/volume-16/issue-none/A-brief-and-understandable-guide-to-pseudo-random-number-generators/10.1214/22-SS136.full
simulationpseudo-random numbersrandom numbersPRNGIoTcongruential methodsarithmetic methodsCSPRNGTRNG
Random number generation in numerical analysis (65C10) Pseudo-random numbers; Monte Carlo methods (11K45)
Uses Software
Cites Work
- Mixed Congruential Random Number Generators for Binary Machines
- Tabla de numeros aleatorios obtenida de los numeros de la Loteria Nacional Española
- Contents of Tippett's "Random Sampling Numbers"
- Certain Tests for Randomness Applied to Data Grouped into Small Sets
- A THEORY OF RANDOMNESS
- Pseudo-random generators for all hardnesses
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Improved long-period generators based on linear recurrences modulo 2
- The serial test for pseudo-random numbers generated by the linear congruential method
- On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus
- Random number generation with the recursion \(X_ t=X_{t-3p}\oplus X_{t-3q}\)
- On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\)
- On the period length of congruential pseudorandom number sequences generated by inversions
- Statistical independence of nonlinear congruential pseudorandom numbers
- Marsaglia's lattice test and non-linear congruential pseudo-random number generators
- The lattice structure of pseudo-random vectors generated by matrix generators
- Optimal multipliers for linear congruential pseudorandom number generators with prime moduli
- Several extensively tested multiple recursive random number generators
- Construction of inversive congruential pseudorandom number generators with maximal period length
- Pseudo-random numbers and optimal coefficients
- Optimal multipliers for linear congruential pseudo-random number generators with prime moduli: Parallel computation and properties
- The multiple-recursive matrix method for pseudorandom number generation
- Optimal multipliers for pseudo-random number generation by the linear congruential method
- Regularities in congruential random number generators
- A fast random number generator with good statistical properties
- An exact determination of serial correlations of pseudo-random numbers
- Robust Pseudo-Random Number Generators with Input Secure Against Side-Channel Attacks
- How to Eat Your Entropy and Have It Too – Optimal Recovery Strategies for Compromised RNGs
- Simulation and the Monte Carlo Method
- Number-theoretic constructions of efficient pseudo-random functions
- The Monte Carlo Method
- TABLES OF RANDOM OBSERVATIONS FROM STANDARD DISTRIBUTIONS
- On a Periodic Property of Pseudo-Random Sequences
- On Sequences of Pseudo-Random Numbers of Maximal Length
- Empirical Tests of an Additive Random Number Generator
- Serial Correlation in the Generation of Pseudo-Random Numbers
- Fibonacci Series Modulo m
- Remarks on the Fibonacci Series Modulo m
- How to Generate Cryptographically Strong Sequences of Pseudorandom Bits
- A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus
- TestU01
- A Simple Unpredictable Pseudo-Random Number Generator
- An Exhaustive Analysis of Multiplicative Congruential Random Number Generators with Modulus $2^{31} - 1$
- Bit-Wise Behavior of Random Number Generators
- The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions
- Inferring sequences produced by pseudo-random number generators
- The Behavior of Pseudo-Random Sequences Generated on Computers by the Multiplicative Congruential Method
- Random Number Generators
- Bias in Pseudo-Random Numbers
- How to predict congruential generators
- Inversive Congruential Pseudorandom Numbers: A Tutorial
- Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers with Power of Two Modulus
- Improving a Poor Random Number Generator
- A method for obtaining digital signatures and public-key cryptosystems
- Quasi-Monte Carlo methods and pseudo-random numbers
- Tables of linear congruential generators of different sizes and good lattice structure
- Mersenne twister
- Pseudorandom Vector Generation by the Multiple-Recursive Matrix Method
- Combined Multiple Recursive Random Number Generators
- Tests based on sum-functions of spacings for uniform random numbers
- Multiplicative, congruential random-number generators with multiplier ± 2 k 1 ± 2 k 2 and modulus 2 p - 1
- Beware of linear congruential generators with multipliers of the form a = ±2 q ±2 r
- Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators
- Distinguishing Attacks on (Ultra-)Lightweight WG Ciphers
- Cryptanalytic Attacks on Pseudorandom Number Generators
- Properties of the x/sup 2/ mod N pseudorandom number generator
- Twisted GFSR generators II
- A search for good multiple recursive random number generators
- Twisted GFSR generators
- On a nonlinear congruential pseudorandom number generator
- Construction of a random sequence
- Random Numbers Generated by Linear Recurrence Modulo Two
- A new uniform pseudorandom number generator
- Uniform Random Number Generators
- Equidistribution of Matrix-Power Residues Modulo One
- Multiplicative congruential pseudo-random number generators
- Some Theorems Concerning Pseudo-Random Numbers
- Fourier Analysis of Uniform Random Number Generators
- Coding the Lehmer pseudo-random number generator
- Additive congruential pseudo-random number generators
- A comparison of the correlational behavior of random number generators for the IBM 360
- Generating pseudorandom numbers on a two's complement machine such as the IBM 360
- Design and testing of the System 4 random number generator
- Sequences of Numbers That Are Approximately Completely Equidistributed
- Algorithms and Randomness
- The Runs Up-and-Down Performance of Tausworthe Pseudo-Random Number Generators
- Multiplicative Pseudo-Random Number Generators with Prime Modulus
- The definition of random sequences
- Generalized Feedback Shift Register Pseudorandom Number Algorithm
- The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors
- An a priori determination of serial correlation in computer generated random numbers
- Mixed Congruential Random Number Generators for Decimal Machines