Mersenne twister: A 623-dimensionally equidistributed uniform pseudo-random number generator. A new algorithm called Mersenne twister (MT) is proposed for generating uniform pseudorandom numbers. For a particular choice of parameters, the algorithm provides a super astronomical period of 2 19937 -1 and 623-dimensional equidistribution up to 32-bit accuracy, while using a working area of only 624 words. This is a new variant of the previously proposed generators, TGFSR, modified so as to admit a Mersenne-prime period. The characteristic polynomial has many terms. The distribution up to v bits accuracy for 1≤v≤32 is also shown to be good. An algorithm is also given that checks the primitivity of the characteristic polynomial of MT with computational complexity O(p 2 ) where p is the degree of the polynomial. We implemented this generator in portable C-code. It passed several stringent statistical tests, including diehard. Its speed is comparable to other modern generators. Its merits are due to the efficient algorithms that are unique to polynomial calculations over the two-element field. (Source:

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  1. Kuschel, Torben; Bock, Stefan: Solving the weighted capacitated planned maintenance problem and its variants (2019)
  2. Adler, Michael C.; Gonzalez, David R.; Stack, Cory M.; Gaitonde, Datta V.: Synthetic generation of equilibrium boundary layer turbulence from modeled statistics (2018)
  3. Bakiri, Mohammed; Guyeux, Christophe; Couchot, Jean-François; Oudjida, Abdelkrim Kamel: Survey on hardware implementation of random number generators on FPGA: theory and experimental analyses (2018)
  4. Czibula, Oliver G.; Gu, Hanyu; Zinder, Yakov: Lagrangian relaxation versus genetic algorithm based metaheuristic for a large partitioning problem (2018)
  5. de Andrade, Bernardo B.; Souza, Geraldo S.: Likelihood computation in the normal-gamma stochastic frontier model (2018)
  6. Fatih Nar, Osman Erman Okman, Atilla Özgür, Müjdat Çetin: RmSAT-CFAR: Fast and accurate target detection in radar images (2018) not zbMATH
  7. Fernández de Bustos, I.; García-Marina, V.; Urkullu, G.; Abasolo, M.: An efficient LDU algorithm for the minimal least squares solution of linear systems (2018)
  8. Gori, Giacomo; Viti, Jacopo: Four-point boundary connectivities in critical two-dimensional percolation from conformal invariance (2018)
  9. Henderson, Nélio; de Sá Rêgo, Marroni; Imbiriba, Janaína; de Sá Rêgo, Márlison; Sacco, Wagner F.: Testing the topographical global initialization strategy in the framework of an unconstrained optimization method (2018)
  10. Howard, C. Douglas: It’s puzzling (2018)
  11. Ito, Daisuke; Ueta, Tetsushi; Aihara, Kazuyuki: Bifurcation analysis of eight coupled degenerate optical parametric oscillators (2018)
  12. Jäntschi, Lorentz; Bolboacă, Sorana D.: Computation of probability associated with Anderson-Darling statistic (2018)
  13. J Ignacio Deza, Roberto R. Deza : qNoise: A generator of non-Gaussian colored noise (2018) arXiv
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  15. Lin, Y.; Wang, F.; Liu, B.: Random number generators for large-scale parallel Monte Carlo simulations on FPGA (2018)
  16. Mak, Simon; Joseph, V. Roshan: Support points (2018)
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  18. Rose, Gregory G.: KISS: a bit too simple (2018)
  19. Savvidy, George; Savvidy, Konstantin: Exponential decay of correlations functions in MIXMAX generator of pseudorandom numbers (2018)
  20. Segredo, Eduardo; Paechter, Ben; Segura, Carlos; González-Vila, Carlos I.: On the comparison of initialisation strategies in differential evolution for large scale optimisation (2018)

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