Remarks on nonlinear congruential pseudorandom numbers

DOI10.1007/BF02613320zbMath0663.65005OpenAlexW2076887562MaRDI QIDQ1114287

Harald Niederreiter

Publication date: 1988

Published in: Metrika (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176198

zbMATH Keywords

pseudorandom numberslattice testpermutation polynomiallinear recurring sequencenonlinear congruential method

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (16)

Compound nonlinear congruential pseudorandom numbers ⋮ The lattice structure of nonlinear congruential pseudorandom numbers ⋮ On a new class of pseudorandom numbers for simulation methods ⋮ Statistical independence of nonlinear congruential pseudorandom numbers ⋮ On Marsaglia's lattice test for pseudorandom numbers ⋮ On the autocorrelation structure of inversive congruential pseudorandom number sequences ⋮ Recent trends in random number and random vector generation ⋮ 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 ⋮ Lower Bounds for the Discrepancy of Inversive Congruential Pseudorandom Numbers ⋮ The Serial Test for Congruential Pseudorandom Numbers Generated by Inversions ⋮ Equidistribution properties of nonlinear congruential pseudorandom numbers ⋮ 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

• Marsaglia's lattice test and non-linear congruential pseudo-random number generators
• Equidistribution of linear recurring sequences in finite fields, II
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