The sub-lattice structure of linear congruential random number generators

DOI10.1007/BF01186658zbMath0601.65005MaRDI QIDQ1081272

Lothar Afflerbach

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155151

zbMATH Keywords

pseudo-random numberslinear congruential methodmultiplicative congruential generatorsperiodic continuationsub-lattice structure

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (8)

On the structure of quadratic congruential sequences ⋮ Efficient lattice assessment for LCG and GLP parameter searches ⋮ The lattice structure of pseudo-random vectors generated by matrix generators ⋮ Spectral test of the MIXMAX random number generators ⋮ Criteria for the assessment of random number generators ⋮ Recent trends in random number and random vector generation ⋮ Uniform random number generation ⋮ Calculation of Minkowski-reduced lattice bases

Cites Work

• Unnamed Item
• Calculation of Minkowski-reduced lattice bases
• Regularities in congruential random number generators
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors

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