On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings

Edwin D. El-Mahassni; Domingo Gomez

doi:10.1007/978-3-642-02181-7_21

On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings

Edwin D. El-Mahassni, Domingo Gomez

School of Computing

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

4 Citations (Scopus)

Abstract

The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present new discrepancy bounds for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers of higher orders modulo a composite integer M.

Original language	English
Title of host publication	Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Subtitle of host publication	18th International Symposium, AAECC-18 2009: Proceedings
Place of Publication	Berlin, Germany
Publisher	Springer, Springer Nature
Pages	195-203
Number of pages	9
ISBN (Print)	9783642021800
DOIs	https://doi.org/10.1007/978-3-642-02181-7_21
Publication status	Published - 2009
Event	18th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, AAECC-18 - Tarragona, Spain Duration: 8 Jun 2009 → 12 Jun 2009

Conference

Conference	18th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, AAECC-18
City	Tarragona, Spain
Period	8/06/09 → 12/06/09

Access to Document

10.1007/978-3-642-02181-7_21

Cite this

@inproceedings{ccb0ff91328c41b4ad4a352bc56c6bcc,

title = "On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings",

abstract = "The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present new discrepancy bounds for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers of higher orders modulo a composite integer M.",

author = "El-Mahassni, {Edwin D.} and Domingo Gomez",

year = "2009",

doi = "10.1007/978-3-642-02181-7_21",

language = "English",

isbn = "9783642021800",

pages = "195--203",

booktitle = "Applied Algebra, Algebraic Algorithms and Error-Correcting Codes",

publisher = "Springer, Springer Nature",

address = "United States",

note = "18th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, AAECC-18 ; Conference date: 08-06-2009 Through 12-06-2009",

}

El-Mahassni, ED & Gomez, D 2009, On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings. in Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 18th International Symposium, AAECC-18 2009: Proceedings. Springer, Springer Nature, Berlin, Germany, pp. 195-203, 18th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, AAECC-18, Tarragona, Spain, 8/06/09. https://doi.org/10.1007/978-3-642-02181-7_21

On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings. / El-Mahassni, Edwin D.; Gomez, Domingo.
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 18th International Symposium, AAECC-18 2009: Proceedings. Berlin, Germany: Springer, Springer Nature, 2009. p. 195-203.

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

TY - GEN

T1 - On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings

AU - El-Mahassni, Edwin D.

AU - Gomez, Domingo

PY - 2009

Y1 - 2009

N2 - The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present new discrepancy bounds for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers of higher orders modulo a composite integer M.

AB - The nonlinear congruential method is an attractive alternative to the classical linear congruential method for pseudorandom number generation. In this paper we present new discrepancy bounds for sequences of s-tuples of successive nonlinear congruential pseudorandom numbers of higher orders modulo a composite integer M.

U2 - 10.1007/978-3-642-02181-7_21

DO - 10.1007/978-3-642-02181-7_21

M3 - Conference proceeding contribution

SN - 9783642021800

SP - 195

EP - 203

BT - Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

PB - Springer, Springer Nature

CY - Berlin, Germany

T2 - 18th International Symposium on Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes, AAECC-18

Y2 - 8 June 2009 through 12 June 2009

ER -

On the Distribution of Nonlinear Congruential Pseudorandom Numbers of Higher Orders in Residue Rings

Abstract

Conference

Access to Document

Fingerprint

Cite this