Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
ACM Transactions on Modeling and Computer Simulation (TOMACS)
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Maximally equidistributed combined Tausworthe generators
Mathematics of Computation
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
Tables of maximally equidistributed combined LFSR generators
Mathematics of Computation
Generalized Feedback Shift Register Pseudorandom Number Algorithm
Journal of the ACM (JACM)
An Asymptotically Random Tausworthe Sequence
Journal of the ACM (JACM)
Lattice computations for random numbers
Mathematics of Computation
Improved long-period generators based on linear recurrences modulo 2
ACM Transactions on Mathematical Software (TOMS)
Variants of Mersenne Twister Suitable for Graphic Processors
ACM Transactions on Mathematical Software (TOMS)
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This article discusses construction of maximally equidistributed (ME) linear feedback shift register generators by using linear output transformations. We introduce a new strategy to find linear output transformations attaining the ME property, and apply it to the WELL generators and the Mersenne Twister. As a result, we found a modified version of the WELL generators with the ME property, having fewer operations than the original ME WELL generators. We also found a ME Mersenne Twister which is faster than the WELL generators with a period of 2^1^9^9^3^7-1 on some platforms. The C codes of the obtained generators are available at http://www3.ocn.ne.jp/~harase/megenerators.html.