64-bit and 128-bit DX random number generators

Authors:
Lih-Yuan Deng;Henry Horng-Shing Lu;Tai-Been Chen
Affiliations:
Department of Mathematical Sciences, The University of Memphis, Memphis, TN;Institute of Statistics, National Chiao Tung University, Hsinchu, Taiwan, ROC;Department of Medical Imaging and Radiological Sciences, I-Shou University, Kaohsiung, Taiwan, ROC
Venue:
Computing
Year:
2010

Citing 17
Cited 0

Efficient and portable combined random number generators

Communications of the ACM
A search for good multiple recursive random number generators

ACM Transactions on Modeling and Computer Simulation (TOMACS)
A note on the quality of random variates generated by the ratio of uniforms method

ACM Transactions on Modeling and Computer Simulation (TOMACS)
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms

The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Mersenne twister: a 623-dimensionally equidistributed uniform pseudo-random number generator

ACM Transactions on Modeling and Computer Simulation (TOMACS) - Special issue on uniform random number generation
Generalized Feedback Shift Register Pseudorandom Number Algorithm

Journal of the ACM (JACM)
Computer Generation of Random Variables Using the Ratio of Uniform Deviates

ACM Transactions on Mathematical Software (TOMS)
Coding the Lehmer pseudo-random number generator

Communications of the ACM
Tables of 64-bit Mersenne twisters

ACM Transactions on Modeling and Computer Simulation (TOMACS)
Good Parameters and Implementations for Combined Multiple Recursive Random Number Generators

Operations Research
A system of high-dimensional, efficient, long-cycle and portable uniform random number generators

ACM Transactions on Modeling and Computer Simulation (TOMACS)
On the Deng-Lin random number generators and related methods

Statistics and Computing
Efficient and portable multiple recursive generators of large order

ACM Transactions on Modeling and Computer Simulation (TOMACS)
Improved long-period generators based on linear recurrences modulo 2

ACM Transactions on Mathematical Software (TOMS)
Conversion of high-period random numbers to floating point

ACM Transactions on Modeling and Computer Simulation (TOMACS)
TestU01: A C library for empirical testing of random number generators

ACM Transactions on Mathematical Software (TOMS)
Common defects in initialization of pseudorandom number generators

ACM Transactions on Modeling and Computer Simulation (TOMACS)

Quantified Score

Hi-index	0.00

Visualization

Abstract

Extending 32-bit DX generators introduced by Deng and Xu (ACM Trans Model Com put Simul 13:299-309, 2003), we perform an extensive computer search for classes of 64-bit and 128-bit DX generators of large orders. The period lengths of these high resolution DX generators are ranging from 101915 to 1058221. The software implementation of these generators can be developed for 64-bit or 128-bit hardware. The great empirical performances of DX generators have been confirmed by an extensive battery of tests in the TestU01 package. These high resolution DX generators can be useful to perform large scale simulations in scientific investigations for various computer systems.