Bounds for exponential sums and their applications to pseudorandom numbers
Jürgen Eichenauer-Herrmann ; Harald Niederreiter
Acta Arithmetica, Tome 68 (1994), p. 269-281 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206631
@article{bwmeta1.element.bwnjournal-article-aav67i3p269bwm,
     author = {J\"urgen Eichenauer-Herrmann and Harald Niederreiter},
     title = {Bounds for exponential sums and their applications to pseudorandom numbers},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {269-281},
     zbl = {0957.11050},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav67i3p269bwm}
}
Jürgen Eichenauer-Herrmann; Harald Niederreiter. Bounds for exponential sums and their applications to pseudorandom numbers. Acta Arithmetica, Tome 68 (1994) pp. 269-281. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav67i3p269bwm/

[000] [1] E. Bombieri, On exponential sums in finite fields, Amer. J. Math. 88 (1966), 71-105. | Zbl 0171.41504

[001] [2] T. Cochrane, On a trigonometric inequality of Vinogradov, J. Number Theory 27 (1987), 9-16. | Zbl 0629.10030

[002] [3] J. Eichenauer-Herrmann, Statistical independence of a new class of inversive congruential pseudorandom numbers, Math. Comp. 60 (1993), 375-384. | Zbl 0795.65002

[003] [4] C. J. Moreno and O. Moreno, Exponential sums and Goppa codes: I, Proc. Amer. Math. Soc. 111 (1991), 523-531. | Zbl 0716.94010

[004] [5] H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992.

[005] [6] H. Niederreiter, New methods for pseudorandom number and pseudorandom vector generation, in: Proc. 1992 Winter Simulation Conference (Arlington, Va., 1992), IEEE Press, Piscataway, N.J., 1992, 264-269. | Zbl 0849.11055

[006] [7] H. Niederreiter, On a new class of pseudorandom numbers for simulation methods, J. Comput. Appl. Math., to appear. | Zbl 0823.65010