Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators
Harald Niederreiter ; Arne Winterhof
Acta Arithmetica, Tome 92 (2000), p. 387-399 / Harvested from The Polish Digital Mathematics Library
Publié le : 2000-01-01
EUDML-ID : urn:eudml:doc:207421
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     author = {Harald Niederreiter and Arne Winterhof},
     title = {Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators},
     journal = {Acta Arithmetica},
     volume = {92},
     year = {2000},
     pages = {387-399},
     zbl = {0969.11040},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav93i4p387bwm}
}
Harald Niederreiter; Arne Winterhof. Incomplete exponential sums over finite fields and their applications to new inversive pseudorandom number generators. Acta Arithmetica, Tome 92 (2000) pp. 387-399. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav93i4p387bwm/

[000] [1] T. Cochrane, On a trigonometric inequality of Vinogradov, J. Number Theory 27 (1987), 9-16. | Zbl 0629.10030

[001] [2] J. Eichenauer-Herrmann, Statistical independence of a new class of inversive congruential pseudorandom numbers, Math. Comp. 60 (1993), 375-384. | Zbl 0795.65002

[002] [3] P. Hellekalek, General discrepancy estimates: the Walsh function system, Acta Arith. 67 (1994), 209-218. | Zbl 0805.11055

[003] [4] R. Lidl and H. Niederreiter, Introduction to Finite Fields and Their Applications, revised ed., Cambridge Univ. Press, Cambridge, 1994. | Zbl 0820.11072

[004] [5] C. J. Moreno and O. Moreno, Exponential sums and Goppa codes: I, Proc. Amer. Math. Soc. 111 (1991), 523-531. | Zbl 0716.94010

[005] [6] H. Niederreiter, Random Number Generation and Quasi-Monte Carlo Methods, SIAM, Philadelphia, 1992.

[006] [7] H. Niederreiter, Pseudorandom vector generation by the inversive method, ACM Trans. Modeling and Computer Simulation 4 (1994), 191-212. | Zbl 0847.11039

[007] [8] H. Niederreiter, Improved bounds in the multiple-recursive matrix method for pseudorandom number and vector generation, Finite Fields Appl. 2 (1996), 225-240. | Zbl 0893.11031

[008] [9] H. Niederreiter and I. E. Shparlinski, On the distribution of inversive congruential pseudorandom numbers in parts of the period, Math. Comp., to appear. | Zbl 0983.11048

[009] [10] H. Niederreiter and I. E. Shparlinski, On the distribution and lattice structure of nonlinear congruential pseudorandom numbers, Finite Fields Appl. 5 (1999), 246-253. | Zbl 0942.11037

[010] [11] H. Niederreiter and I. E. Shparlinski, On the distribution of pseudorandom numbers and vectors generated by inversive methods, Appl. Algebra Engrg. Comm. Comput., to appear. | Zbl 0999.11040

[011] [12] A. Winterhof, On the distribution of powers in finite fields, Finite Fields Appl. 4 (1998), 43-54. | Zbl 0910.11055