A Statistical Analysis of Generalized Feedback Shift Register Pseudorandom Number Generators

DOI10.1137/0908084zbMath0634.65003OpenAlexW2004919728MaRDI QIDQ3773156

Harald Niederreiter

Publication date: 1987

Published in: SIAM Journal on Scientific and Statistical Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0908084

zbMATH Keywords

discrepancyuniform pseudorandom numbersserial testuniformity testgeneralized feedback shift register algorithm

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

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\(d\)-dimensional hypercubes and the Euler and MacNeish conjectures ⋮ A comparative study of some pseudorandom number generators ⋮ Calculation of Fibonacci Polynomials for GFSR Sequences with Low Discrepancies ⋮ Statistical independence properties of pseudorandom vectors produced by matrix generators ⋮ Recent trends in random number and random vector generation ⋮ Point sets with uniformity properties and orthogonal hypercubes ⋮ Point sets and sequences with small discrepancy ⋮ Uniform random number generation ⋮ Bounds on the discrepancy of linear recurring sequences over Galois rings ⋮ Low-discrepancy point sets obtained by digital constructions over finite fields ⋮ Low-discrepancy point sets

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