Explicit digital inversive pseudorandom numbers

Mordechay B. Levin

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 5, page 581-598
  • ISSN: 0232-0525

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Levin, Mordechay B.. "Explicit digital inversive pseudorandom numbers." Mathematica Slovaca 50.5 (2000): 581-598. <http://eudml.org/doc/34526>.

@article{Levin2000,
author = {Levin, Mordechay B.},
journal = {Mathematica Slovaca},
keywords = {random number generation; discrepancy; algorithm; explicit digital inversive method; uniform pseudorandom numbers; statistical independence; exponential sums; Weil bound},
language = {eng},
number = {5},
pages = {581-598},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Explicit digital inversive pseudorandom numbers},
url = {http://eudml.org/doc/34526},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Levin, Mordechay B.
TI - Explicit digital inversive pseudorandom numbers
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 5
SP - 581
EP - 598
LA - eng
KW - random number generation; discrepancy; algorithm; explicit digital inversive method; uniform pseudorandom numbers; statistical independence; exponential sums; Weil bound
UR - http://eudml.org/doc/34526
ER -

References

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  3. EICHENAUER-HERRMANN J.-NIEDERREITER H., Digital inversive pseudo-random numbers, ACM Trans. Model. Comput. Simul. 4 (1994), 339-349. (1994) 
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  9. LIDL R.-NIEDERREITER H., Finite Fields, Addison-Wesley, Reading, Mass., 1983. (1983) Zbl0554.12010MR0746963
  10. MORENO, C J.-MORENO O., Exponential sums and Goppa codes. I, Proc. Amer. Math. Soc. Ill (1991), 523-531. (1991) Zbl0716.94010MR1028291
  11. NIEDERREITER H., Pseudo-random numbers and optimal coefficients, Adv. Math. 26 (1977), 99-181. (1977) Zbl0366.65004MR0476679
  12. NIEDERREITER H., Random Number Generation and Quasi-Monte Carlo Methods, CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, PA, 1992. (1992) Zbl0761.65002MR1172997
  13. NIEDERREITER H., Pseudorandom vector generation by the inversive method, AGM Trans. Model Comput. Simul. 4 (1994), 191-212. (1994) Zbl0847.11039
  14. NIEDERREITER H., On a new class of pseudorandom numbers for simulation methods, J. Comput. Appl. Math. 56 (1994), 159-167. (1994) Zbl0823.65010MR1338642
  15. NIEDERREITER H.-HELLEKALEK P.-LARCHER G.-ZINTERHOF P., Monte Carlo and Quasi-Monte Carlo Methods 1996, Lectures Notes in Statist. 127, Springer-Verlag, New York, 1997. (1997) Zbl0879.00054MR1644508
  16. TEZUKA S., Uniform Random Numbers. Theory and Practice, Kluwer Academic Publishers, Dordrecht, 1995. (1995) Zbl0841.65004

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