Maximally equidistributed pseudorandom number generators via linear output transformations

DOI10.1016/j.matcom.2008.06.006zbMath1159.65302OpenAlexW1979033430MaRDI QIDQ1005192

Shin Harase

Publication date: 9 March 2009

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2008.06.006

zbMATH Keywords

random number generationlinear feedback shift register sequencelinear output transformationsmaximal equidistributionMersenne twister

Mathematics Subject Classification ID

Random number generation in numerical analysis (65C10)

Related Items (3)

An efficient lattice reduction method for \(\mathbf F_2\)-linear pseudorandom number generators using Mulders and Storjohann algorithm ⋮ On the \(\mathbb{F}_2\)-linear relations of Mersenne Twister pseudorandom number generators ⋮ Fast lattice reduction for $\mathbf {F}_{2}$-linear pseudorandom number generators

Uses Software

• MersenneTwister

Cites Work

• Unnamed Item
• Improved long-period generators based on linear recurrences modulo 2
• Factoring multivariate polynomials over finite fields
• Tables of maximally equidistributed combined LFSR generators
• Mersenne twister
• Twisted GFSR generators II
• Twisted GFSR generators
• Maximally equidistributed combined Tausworthe generators
• Lattice computations for random numbers
• Random Numbers Generated by Linear Recurrence Modulo Two
• An Asymptotically Random Tausworthe Sequence
• Generalized Feedback Shift Register Pseudorandom Number Algorithm

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