Nets and sequences obtained from irreducible polynomials over finite fields

被引：1

作者：

Knopfmacher, A ^{[1
]}

Ridley, JN

Mullen, GL

机构：

[1] Univ Witwatersrand, Johannesburg, South Africa

[2] Penn State Univ, Dept Math, University Pk, PA 16802 USA

来源：

APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 1998年 / 9卷 / 03期

关键词：

finite field; irreducible Polynomial; (t; m; s)-net in base b;

D O I：

10.1007/s002000050107

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

We prove an elementary result concerning the sum of the degrees of irreducible polynomials over a finite field. This result has application in the construction of (t, m, s)-nets which are useful in numerical integration.

引用

页码：265 / 269

页数：5

共 7 条

[1]

CLAYMAN AT, IN PRESS J COMBINATO

[2]

Lidl R., 1983, ENCY MATH APPL, V20

[3]

MULLEN GL, 1995, LECT NOTES STAT, V106, P58

[4] POINT SETS AND SEQUENCES WITH SMALL DISCREPANCY [J].

NIEDERREITER, H .

MONATSHEFTE FUR MATHEMATIK, 1987, 104 (04) :273-337

[5] LOW-DISCREPANCY AND LOW-DISPERSION SEQUENCES [J].

NIEDERREITER, H .

JOURNAL OF NUMBER THEORY, 1988, 30 (01) :51-70

[6]

Niederreiter H., 1996, LONDON MATH SOC LECT, V233, P269

[7]

Stichtenoth H., 1993, Algebraic function fields and codes

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