| Title:
|
Explicit digital inversive pseudorandom numbers (English) |
| Author:
|
Levin, Mordechay B. |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
50 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
581-598 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11K45 |
| MSC:
|
65C10 |
| idZBL:
|
Zbl 0990.65005 |
| idMR:
|
MR1813705 |
| . |
| Date available:
|
2009-09-25T11:48:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136791 |
| . |
| Reference:
|
[DrTi] DRMOTA M.-TICHY R. F.: Sequences, Discrepancies and Applications.Lecture Notes in Math. 1651, Springer-Verlag, New York, 1997. Zbl 0877.11043, MR 1470456 |
| Reference:
|
[Ei] EICHENAUER-HERRMANN J.: Pseudorandom number generation by nonlinear methods.Internat. Statist. Rev. 63 (1995), 247-255. Zbl 0840.65005 |
| Reference:
|
[EiNi] EICHENAUER-HERRMANN J.-NIEDERREITER H.: Digital inversive pseudo-random numbers.ACM Trans. Model. Comput. Simul. 4 (1994), 339-349. |
| Reference:
|
[Em] EMMERICH F.: Statistical independence properties of inversive pseudorandom vectors over parts of the period.ACM Trans. Model. Comput. Simul. 8 (1998), 140-152. |
| Reference:
|
[HeLa] HELLEKALEK P.-LARCHER G.: Random and Quasi-Random Point Sets.Lectures Notes in Statist. 138, Springer-Verlag, New York, 1998. Zbl 0937.65004, MR 1662838 |
| Reference:
|
[Ko] KOROBOV N. M.: Exponential Sums and Their Applications.Kluwer Academic Publishers, Dordrecht, 1992. Zbl 0754.11022, MR 1162539 |
| Reference:
|
[LEq] L'ECUYER P.: Uniform number generation.Ann. Oper. Res. 53 (1994), 77-120. MR 1310607 |
| Reference:
|
[Le] LEVIN M. B.: On the choice of parameters in generators of pseudorandom numbers.Sov. Math. Dokl 40 (1989), 101-105. MR 1020377 |
| Reference:
|
[LiNi] LIDL R.-NIEDERREITER H.: Finite Fields.Addison-Wesley, Reading, Mass., 1983. Zbl 0554.12010, MR 0746963 |
| Reference:
|
[Mo] MORENO, C J.-MORENO O.: Exponential sums and Goppa codes. I.Proc. Amer. Math. Soc. Ill (1991), 523-531. Zbl 0716.94010, MR 1028291 |
| Reference:
|
[Ni1] NIEDERREITER H.: Pseudo-random numbers and optimal coefficients.Adv. Math. 26 (1977), 99-181. Zbl 0366.65004, MR 0476679 |
| Reference:
|
[Ni2] NIEDERREITER H.: Random Number Generation and Quasi-Monte Carlo Methods.CBMS-NSF Regional Conf. Ser. in Appl. Math. 63, SIAM, Philadelphia, PA, 1992. Zbl 0761.65002, MR 1172997 |
| Reference:
|
[Ni3] NIEDERREITER H.: Pseudorandom vector generation by the inversive method.AGM Trans. Model Comput. Simul. 4 (1994), 191-212. Zbl 0847.11039 |
| Reference:
|
[Ni4] NIEDERREITER H.: On a new class of pseudorandom numbers for simulation methods.J. Comput. Appl. Math. 56 (1994), 159-167. Zbl 0823.65010, MR 1338642 |
| Reference:
|
[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. Zbl 0879.00054, MR 1644508 |
| Reference:
|
[Te] TEZUKA S.: Uniform Random Numbers. Theory and Practice.Kluwer Academic Publishers, Dordrecht, 1995. Zbl 0841.65004 |
| . |
