Random number generation with the recursion Xt=Xt-3p⊕Xt-3q
Journal of Computational and Applied Mathematics - Random numbers and simulation
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Testing random number generators
WSC '92 Proceedings of the 24th conference on Winter simulation
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
An Asymptotically Random Tausworthe Sequence
Journal of the ACM (JACM)
The k-distribution of generalized feedback shift register pseudorandom numbers
Communications of the ACM
Strong deviations from randomness in m-sequences based on trinomials
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Radix-b extensions to some common empirical tests for pseudorandom number generators
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Inversive and linear congruential pseudorandom number generators in empirical tests
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Uniform random number generators: a review
Proceedings of the 29th conference on Winter simulation
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
Don't trust parallel Monte Carlo!
PADS '98 Proceedings of the twelfth workshop on Parallel and distributed simulation
Uniform random number generators
Proceedings of the 30th conference on Winter simulation
Monkeys, gambling, and return times: assessing pseudorandomness
Proceedings of the 31st conference on Winter simulation: Simulation---a bridge to the future - Volume 1
Getting rid of correlations among pseudorandom numbers: discarding versus tempering
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Automatic sampling with the ratio-of-uniforms method
ACM Transactions on Mathematical Software (TOMS)
Tables of 64-bit Mersenne twisters
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Random number generation with primitive pentanomials
ACM Transactions on Modeling and Computer Simulation (TOMACS)
A new class of linear feedback shift register generators
Proceedings of the 32nd conference on Winter simulation
Software for uniform random number generation: distinguishing the good and the bad
Proceedings of the 33nd conference on Winter simulation
Empirical evidence concerning AES
ACM Transactions on Modeling and Computer Simulation (TOMACS)
On the xorshift random number generators
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Improved long-period generators based on linear recurrences modulo 2
ACM Transactions on Mathematical Software (TOMS)
Fast random number generators based on linear recurrences modulo 2: overview and comparison
WSC '05 Proceedings of the 37th conference on Winter simulation
High Quality Uniform Random Number Generation Using LUT Optimised State-transition Matrices
Journal of VLSI Signal Processing Systems
TestU01: A C library for empirical testing of random number generators
ACM Transactions on Mathematical Software (TOMS)
FPGA-optimised high-quality uniform random number generators
Proceedings of the 16th international ACM/SIGDA symposium on Field programmable gate arrays
A hardware framework for the fast generation of multiple long-period random number streams
Proceedings of the 16th international ACM/SIGDA symposium on Field programmable gate arrays
A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space
SETA '08 Proceedings of the 5th international conference on Sequences and Their Applications
Maximally equidistributed pseudorandom number generators via linear output transformations
Mathematics and Computers in Simulation
Polynomial pseudo-random number generator via cyclic phase
Mathematics and Computers in Simulation
An FPGA implementation of a parallelized MT19937 uniform random number generator
EURASIP Journal on Embedded Systems - FPGA supercomputing platforms, architectures, and techniques for accelerating computationally complex algorithms
Resolution-stationary random number generators
Mathematics and Computers in Simulation
Solving non-smooth unconstrained optimization problem with LAMGAC in a LAN-WLAN grid domain
EUROMICRO-PDP'02 Proceedings of the 10th Euromicro conference on Parallel, distributed and network-based processing
IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
Probabilistic inference strategy in distributed intrusion detection systems
ISPA'04 Proceedings of the Second international conference on Parallel and Distributed Processing and Applications
Computation of the endogenous mortgage rates with randomized quasi-Monte Carlo simulations
Mathematical and Computer Modelling: An International Journal
Mathematical and Computer Modelling: An International Journal
Random sampling from low-discrepancy sequences: applications to option pricing
Mathematical and Computer Modelling: An International Journal
Generating low-discrepancy sequences from the normal distribution: Box-Muller or inverse transform?
Mathematical and Computer Modelling: An International Journal
The LUT-SR family of uniform random number generators for FPGA architectures
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
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The twisted GFSR generators proposed in a previous article have a defect in k-distribution for k larger than the order of recurrence. In this follow up article, we introduce and analyze a new TGFSR variant having better k-distribution property. We provide an efficient algorithm to obtain the order of equidistribution, together with a tight upper bound on the order. We discuss a method to search for generators attaining this bound, and we list some of these such generators. The upper bound turns out to be (sometimes far) less than the maximum order of equidistribution for a generator of that period length, but far more than that for a GFSR with a working are of the same size.