The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors

DOI10.2307/2004931zbMath0269.65003OpenAlexW4240124084MaRDI QIDQ5686863

R. B. Roof, Dorothy Williamson, William A. Beyer

Publication date: 1971

Full work available at URL: https://doi.org/10.2307/2004931

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (15)

On the structure of quadratic congruential sequences ⋮ The sub-lattice structure of linear congruential random number generators ⋮ A multiple recursive nonlinear congruential pseudo random number generator ⋮ A brief and understandable guide to pseudo-random number generators and specific models for security ⋮ Uses and abuses of statistical simulation ⋮ Marsaglia's lattice test and non-linear congruential pseudo-random number generators ⋮ Several extensively tested multiple recursive random number generators ⋮ The Monte Carlo method ⋮ Spectral test of the MIXMAX random number generators ⋮ Upper bounds for the Beyer ratios of linear congruential generators ⋮ A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus ⋮ Pseudo-random numbers and optimal coefficients ⋮ Random number generators with long period and sound statistical properties ⋮ Quasi-Monte Carlo methods and pseudo-random numbers ⋮ Calculation of Minkowski-reduced lattice bases

Cites Work

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• Die Reduktionstheorie der positiven quadratischen Formen
• Irregularities of distribution. IV
• An Introduction to the Geometry of Numbers
• Deterministic Simulation of Random Processes
• Equidistribution of Matrix-Power Residues Modulo One
• Fourier Analysis of Uniform Random Number Generators
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• Relations within sequences of congruential pseudo-random numbers

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