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F2-Linear Random Number Generators
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Recent Advances in Randomized Quasi-Monte Carlo Methods
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Computational Science and Its Applications — ICCSA 2003
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Random Number Generators with Period Divisible by a Mersenne Prime
inferredcites →https://doi.org/10.1007/978-1-4612-1702-2openalex-snapshot
Random and Quasi-Random Point Sets
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Monte Carlo and Quasi-Monte Carlo Methods
inferredcites →https://doi.org/10.1007/978-3-642-18743-8_23openalex-snapshot
Random Number Generators Based on Linear Recurrences in $$ \mathbb{F}_{2^w } $$
inferredcites →https://doi.org/10.1007/978-3-642-18743-8_4openalex-snapshot
Polynomial Integration Lattices
inferredcites →https://doi.org/10.1007/978-3-642-56046-0openalex-snapshot
Monte Carlo and quasi-Monte Carlo methods 2000 : proceedings of a conference held at the Hong Kong Baptist University, Hong Kong SAR, China, November 27-December 1, 2000
inferredcites →https://doi.org/10.1007/978-3-642-56046-0_21openalex-snapshot
Construction of Equidistributed Generators Based on Linear Recurrences Modulo 2
inferredcites →https://doi.org/10.1007/b106473openalex-snapshot
Modeling uncertainty : an examination of stochastic theory, methods, and applications
inferredcites →https://doi.org/10.1007/bf01029989openalex-snapshot
The hierarchy of correlations in random binary sequences
inferredcites →https://doi.org/10.1016/0020-0190(83)90122-9openalex-snapshot
Increasing the orders of equidistribution of the leading bits of the Tausworthe sequence
inferredcites →https://doi.org/10.1016/0022-0000(85)90016-9openalex-snapshot
Factoring multivariate polynomials over finite fields
inferredcites →https://doi.org/10.1016/0378-4754(89)90164-xopenalex-snapshot
Linear algebra and its applications
inferredcites →https://doi.org/10.1016/j.matcom.2007.09.014openalex-snapshot
Resolution-stationary random number generators
inferredcites →https://doi.org/10.1016/s0278-6125(99)90119-xopenalex-snapshot
Simulation modeling and analysis
inferredcites →https://doi.org/10.1016/s0378-4754(02)00234-3openalex-snapshot
Combined generators with components from different families
inferredcites →https://doi.org/10.1017/cbo9781139172769openalex-snapshot
Introduction to Finite Fields and their Applications
inferredcites →https://doi.org/10.1080/00401706.1997.10485133openalex-snapshot
Monte Carlo: Concepts, Algorithms, and Applications
inferredcites →https://doi.org/10.1090/s0025-5718-1965-0184406-1openalex-snapshot
Random Numbers Generated by Linear Recurrence Modulo Two
inferredcites →https://doi.org/10.1090/s0025-5718-1993-1155576-0openalex-snapshot
On the Use of Reducible Polynomials as Random Number Generators
inferredcites →https://doi.org/10.1090/s0025-5718-96-00696-5openalex-snapshot
Maximally equidistributed combined Tausworthe generators
inferredcites →https://doi.org/10.1090/s0025-5718-99-01039-xopenalex-snapshot
Tables of maximally equidistributed combined LFSR generators
inferredcites →https://doi.org/10.1090/s0025-5718-99-01112-6openalex-snapshot
Lattice computations for random numbers
inferredcites →https://doi.org/10.1109/isit.1998.708634openalex-snapshot
On primitivity tests for polynomials
inferredcites →https://doi.org/10.1109/tit.1968.1054188openalex-snapshot
An analysis of the pseudo-randomness properties of subsequences of longm-sequences
inferredcites →https://doi.org/10.1109/tit.1969.1054260openalex-snapshot
Shift-register synthesis and BCH decoding
inferredcites →https://doi.org/10.1109/wsc.2000.899780openalex-snapshot
Fast combined multiple recursive generators with multipliers of the form a=±2/sup q/±2/sup r/
inferredcites →https://doi.org/10.1137/1.9781611970081openalex-snapshot
Random Number Generation and Quasi-Monte Carlo Methods
inferredcites →https://doi.org/10.1137/s1064827501393782openalex-snapshot
Randomized Polynomial Lattice Rules for Multivariate Integration and Simulation
inferredcites →https://doi.org/10.1145/1113316.1113319openalex-snapshot
On the xorshift random number generators
inferredcites →https://doi.org/10.1145/1132973.1132974openalex-snapshot
Improved long-period generators based on linear recurrences modulo 2
inferredcites →https://doi.org/10.1145/116890.116892openalex-snapshot
Efficient and portable combined Tausworthe random number generators
inferredcites →https://doi.org/10.1145/232807.232815openalex-snapshot
Strong deviations from randomness in m -sequences based on trinomials
inferredcites →https://doi.org/10.1145/321765.321777openalex-snapshot
Generalized Feedback Shift Register Pseudorandom Number Algorithm
inferredcites →https://doi.org/10.1145/321765.321778openalex-snapshot
An Asymptotically Random Tausworthe Sequence
inferredcites →https://doi.org/10.1145/369534.369540openalex-snapshot
Tables of 64-bit Mersenne twisters
inferredcites →https://doi.org/10.1287/ijoc.1070.0251openalex-snapshot
Efficient Jump Ahead for 𝔽2-Linear Random Number Generators
inferredcites →https://doi.org/10.1287/opre.47.1.159openalex-snapshot
Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators
inferredcites →https://doi.org/10.1287/opre.50.6.1073.358openalex-snapshot
An Object-Oriented Random-Number Package with Many Long Streams and Substreams
inferredcites →https://doi.org/10.18637/jss.v008.i18openalex-snapshot
Evaluating Kolmogorov's Distribution
inferredcites →https://doi.org/10.18637/jss.v011.i05openalex-snapshot
Note on Marsaglia's Xorshift Random Number Generators
inferredcites →https://doi.org/10.2307/2290359openalex-snapshot
Random Number Generation and Quasi-Monte Carlo Methods.
inferredcites →https://doi.org/10.2307/2317055openalex-snapshot
The Art of Computer Programming. Volume 2: Seminumerical Algorithms.
inferredcites →https://doi.org/10.5555/510378.510476openalex-snapshot
Fast combined multiple recursive generators with multipliers of the form a = ±2q ±2r
inferredcites →https://doi.org/10.71781/10219openalex-snapshot
Construction d'ensembles de points basée sur des récurrences linéaires dans un corps fini de caractéristique 2 pour la simulation Monte Carlo et l'intégration quasi-Monte Carlo
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Pseudorandom Number Generators
inferred← citeshttps://doi.org/10.1002/9781118014967openalex-snapshot
Handbook of Monte Carlo Methods
inferred← citeshttps://doi.org/10.1002/9781118445112.stat04386.pub2openalex-snapshot
Random Number Generation and Quasi‐ M onte C arlo
inferred← citeshttps://doi.org/10.1007/978-0-387-32833-1_341openalex-snapshot
Random Number Generation
inferred← citeshttps://doi.org/10.1007/978-1-4419-1153-7_852openalex-snapshot
Random Number Generators
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Topics in Nucleic Acids Structure: DNA Interactions and Folding
inferred← citeshttps://doi.org/10.1007/978-3-032-18612-6_5openalex-snapshot
Design of Light-Weight Combined Pseudo Random Number Generator Using Cellular Automaton
inferred← citeshttps://doi.org/10.1007/978-3-540-85912-3_1openalex-snapshot
Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation
inferred← citeshttps://doi.org/10.1007/978-3-540-85912-3_26openalex-snapshot
A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space
inferred← citeshttps://doi.org/10.1007/978-3-642-04107-5_38openalex-snapshot
A PRNG Specialized in Double Precision Floating Point Numbers Using an Affine Transition
inferred← citeshttps://doi.org/10.1007/978-3-642-04898-2_602openalex-snapshot
Uniform Random Number Generators
inferred← citeshttps://doi.org/10.1007/978-3-662-69359-9_736openalex-snapshot
Uniform Random Number Generators
inferred← citeshttps://doi.org/10.1016/b978-159749104-4/50006-6openalex-snapshot
Random Number Generation
inferred← citeshttps://doi.org/10.1016/j.cam.2011.06.005openalex-snapshot
An efficient lattice reduction method for F2 -linear pseudorandom number generators using Mulders and Storjohann algorithm
inferred← citeshttps://doi.org/10.1016/j.cam.2020.113136openalex-snapshot
A table of short-period Tausworthe generators for Markov chain quasi-Monte Carlo
inferred← citeshttps://doi.org/10.1016/j.ipl.2020.105939openalex-snapshot
On the probability of overlap of random subsequences of pseudorandom number generators
inferred← citeshttps://doi.org/10.1016/j.matcom.2014.02.002openalex-snapshot
On the F 2 -linear relations of Mersenne Twister pseudorandom number generators
inferred← citeshttps://doi.org/10.1016/j.matcom.2016.05.005openalex-snapshot
Random numbers for parallel computers: Requirements and methods, with emphasis on GPUs
inferred← citeshttps://doi.org/10.1016/j.matcom.2018.08.006openalex-snapshot
Conversion of Mersenne Twister to double-precision floating-point numbers
inferred← citeshttps://doi.org/10.1080/00949655.2024.2312951openalex-snapshot
A search for short-period Tausworthe generators over Fb with application to Markov chain quasi-Monte Carlo
inferred← citeshttps://doi.org/10.1109/wsc.2017.8247790openalex-snapshot
History of uniform random number generation
inferred← citeshttps://doi.org/10.1109/wsc52266.2021.9715397openalex-snapshot
Multiple Streams with Recurrence-Based, Counter-Based, and Splittable Random Number Generators
inferred← citeshttps://doi.org/10.1145/2427023.2427029openalex-snapshot
Variants of Mersenne Twister Suitable for Graphic Processors
inferred← citeshttps://doi.org/10.1145/3159444openalex-snapshot
Implementing 64-bit Maximally Equidistributed F 2 -Linear Generators with Mersenne Prime Period
inferred← citeshttps://doi.org/10.1145/3460772openalex-snapshot
Scrambled Linear Pseudorandom Number Generators
inferred← citeshttps://doi.org/10.1145/3485525openalex-snapshot
LXM: better splittable pseudorandom number generators (and almost as fast)
inferred← citeshttps://doi.org/10.1145/3527582openalex-snapshot
A New Test for Hamming-Weight Dependencies
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Four Canadian Contributions to Stochastic Modeling
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It is high time we let go of the Mersenne Twister
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