On the structure of quadratic congruential sequences

DOI10.1007/BF01169087zbMath0598.65004OpenAlexW1970850896MaRDI QIDQ1079914

Jürgen Lehn, Jürgen Eichenauer-Herrmann

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/155215

zbMATH Keywords

pseudo random number generatorsquadratic congruential sequencessuperimposition of lattice structures

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11K99) Sequences and sets (11B99)

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The lattice structure of nonlinear congruential pseudorandom numbers ⋮ Equidistribution properties of quadratic congruential pseudorandom numbers ⋮ Discrepancy bounds for nonoverlapping pairs of quadratic congruential pseudorandom numbers ⋮ Quadratic congruential pseudorandom numbers: Distribution of triples ⋮ On the structure of digraphs of polynomial transformations over finite commutative rings with unity ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ On the lattice structure of a nonlinear generator with modulus \(2^{\alpha}\) ⋮ On the period length of congruential pseudorandom number sequences generated by inversions ⋮ Recent trends in random number and random vector generation ⋮ Quadratic congruential pseudorandom numbers: Distribution of lagged pairs ⋮ A remark on the discrepancy of quadratic congruential pseudorandom numbers ⋮ Construction of inversive congruential pseudorandom number generators with maximal period length ⋮ Statistical Independence of a New Class of Inversive Congruential Pseudorandom Numbers ⋮ A Nonlinear Congruential Pseudorandom Number Generator with Power of Two Modulus ⋮ Uniform random number generation ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus ⋮ On the discrepancy of inversive congruential pseudorandom numbers with prime power modulus. II ⋮ On the discrepancy of quadratic congruential pseudorandom numbers

Cites Work

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• Calculation of Minkowski-reduced lattice bases
• The sub-lattice structure of linear congruential random number generators
• Regularities in congruential random number generators
• A New Pseudo-Random Number Generator
• RANDOM NUMBERS FALL MAINLY IN THE PLANES
• The Lattice Structure of Multiplicative Congruential Pseudo-Random Vectors

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