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MR ZblLevin, Mordechay B. Explicit digital inversive pseudorandom numbers. Mathematica slovaca, Tome 50 (2000) no. 5, pp. 581-598. http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a7/
@article{MASLO_2000_50_5_a7,
author = {Levin, Mordechay B.},
title = {Explicit digital inversive pseudorandom numbers},
journal = {Mathematica slovaca},
pages = {581--598},
year = {2000},
volume = {50},
number = {5},
mrnumber = {1813705},
zbl = {0990.65005},
language = {en},
url = {http://geodesic.mathdoc.fr/item/MASLO_2000_50_5_a7/}
}
[DrTi] DRMOTA M.-TICHY R. F.: Sequences, Discrepancies and Applications. Lecture Notes in Math. 1651, Springer-Verlag, New York, 1997. | MR | Zbl
[Ei] EICHENAUER-HERRMANN J.: Pseudorandom number generation by nonlinear methods. Internat. Statist. Rev. 63 (1995), 247-255. | Zbl
[EiNi] EICHENAUER-HERRMANN J.-NIEDERREITER H.: Digital inversive pseudo-random numbers. ACM Trans. Model. Comput. Simul. 4 (1994), 339-349.
[Em] EMMERICH F.: Statistical independence properties of inversive pseudorandom vectors over parts of the period. ACM Trans. Model. Comput. Simul. 8 (1998), 140-152.
[HeLa] HELLEKALEK P.-LARCHER G.: Random and Quasi-Random Point Sets. Lectures Notes in Statist. 138, Springer-Verlag, New York, 1998. | MR | Zbl
[Ko] KOROBOV N. M.: Exponential Sums and Their Applications. Kluwer Academic Publishers, Dordrecht, 1992. | MR | Zbl
[LEq] L'ECUYER P.: Uniform number generation. Ann. Oper. Res. 53 (1994), 77-120. | MR
[Le] LEVIN M. B.: On the choice of parameters in generators of pseudorandom numbers. Sov. Math. Dokl 40 (1989), 101-105. | MR
[LiNi] LIDL R.-NIEDERREITER H.: Finite Fields. Addison-Wesley, Reading, Mass., 1983. | MR | Zbl
[Mo] MORENO, C J.-MORENO O.: Exponential sums and Goppa codes. I. Proc. Amer. Math. Soc. Ill (1991), 523-531. | MR | Zbl
[Ni1] NIEDERREITER H.: Pseudo-random numbers and optimal coefficients. Adv. Math. 26 (1977), 99-181. | MR | Zbl
[Ni2] NIEDERREITER H.: Random Number Generation and Quasi-Monte Carlo Methods. CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, PA, 1992. | MR | Zbl
[Ni3] NIEDERREITER H.: Pseudorandom vector generation by the inversive method. AGM Trans. Model Comput. Simul. 4 (1994), 191-212. | Zbl
[Ni4] NIEDERREITER H.: On a new class of pseudorandom numbers for simulation methods. J. Comput. Appl. Math. 56 (1994), 159-167. | MR | Zbl
[NHLZ] 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. | MR | Zbl
[Te] TEZUKA S.: Uniform Random Numbers. Theory and Practice. Kluwer Academic Publishers, Dordrecht, 1995. | Zbl