Recent advances in the theory of nonlinear pseudorandom number generators

Harald Niederreiter; IE Shparlinski

Recent advances in the theory of nonlinear pseudorandom number generators

Harald Niederreiter, IE Shparlinski

School of Computing

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

Abstract

We present a survey of recent developments in the theory of nonlinear generators for uniform pseudorandom numbers. The emphasis is on discrepancy-based tests for inversive generators where most of the progress has taken place.

Original language	English
Title of host publication	MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000
Editors	KT Fang, FJ Hickernell, H Niederreiter
Place of Publication	Berlin
Publisher	Springer, Springer Nature
Pages	86-102
Number of pages	17
ISBN (Print)	3-540-42718-X
Publication status	Published - 2002
Event	4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2000) - HONG KONG Duration: 27 Nov 2000 → 1 Dec 2000

Conference

Conference	4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2000)
City	HONG KONG
Period	27/11/00 → 1/12/00

Keywords

LATTICE STRUCTURE
EXPONENTIAL-SUMS
FINITE-FIELDS
LOWER BOUNDS
PERIOD
DISCREPANCY
PARTS

Cite this

@inproceedings{e3c0ba6dc31b44cf915e3d1950238df2,

title = "Recent advances in the theory of nonlinear pseudorandom number generators",

abstract = "We present a survey of recent developments in the theory of nonlinear generators for uniform pseudorandom numbers. The emphasis is on discrepancy-based tests for inversive generators where most of the progress has taken place.",

keywords = "LATTICE STRUCTURE, EXPONENTIAL-SUMS, FINITE-FIELDS, LOWER BOUNDS, PERIOD, DISCREPANCY, PARTS",

author = "Harald Niederreiter and IE Shparlinski",

year = "2002",

language = "English",

isbn = "3-540-42718-X",

pages = "86--102",

editor = "KT Fang and FJ Hickernell and H Niederreiter",

booktitle = "MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000",

publisher = "Springer, Springer Nature",

address = "United States",

note = "4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2000) ; Conference date: 27-11-2000 Through 01-12-2000",

}

Niederreiter, H & Shparlinski, IE 2002, Recent advances in the theory of nonlinear pseudorandom number generators. in KT Fang, FJ Hickernell & H Niederreiter (eds), MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000. Springer, Springer Nature, Berlin, pp. 86-102, 4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2000), HONG KONG, 27/11/00.

Recent advances in the theory of nonlinear pseudorandom number generators. / Niederreiter, Harald; Shparlinski, IE.
MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000. ed. / KT Fang; FJ Hickernell; H Niederreiter. Berlin: Springer, Springer Nature, 2002. p. 86-102.

Research output: Chapter in Book/Report/Conference proceeding › Conference proceeding contribution › peer-review

TY - GEN

T1 - Recent advances in the theory of nonlinear pseudorandom number generators

AU - Niederreiter, Harald

AU - Shparlinski, IE

PY - 2002

Y1 - 2002

N2 - We present a survey of recent developments in the theory of nonlinear generators for uniform pseudorandom numbers. The emphasis is on discrepancy-based tests for inversive generators where most of the progress has taken place.

AB - We present a survey of recent developments in the theory of nonlinear generators for uniform pseudorandom numbers. The emphasis is on discrepancy-based tests for inversive generators where most of the progress has taken place.

KW - LATTICE STRUCTURE

KW - EXPONENTIAL-SUMS

KW - FINITE-FIELDS

KW - LOWER BOUNDS

KW - PERIOD

KW - DISCREPANCY

KW - PARTS

M3 - Conference proceeding contribution

SN - 3-540-42718-X

SP - 86

EP - 102

BT - MONTE CARLO AND QUASI-MONTE CARLO METHODS 2000

A2 - Fang, KT

A2 - Hickernell, FJ

A2 - Niederreiter, H

PB - Springer, Springer Nature

CY - Berlin

T2 - 4th International Conference on Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing (MCQMC 2000)

Y2 - 27 November 2000 through 1 December 2000

ER -

Recent advances in the theory of nonlinear pseudorandom number generators

Abstract

Conference

Keywords

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