Nets and Sequences Obtained from Irreducible Polynomials over Finite Fields

A. Knopfmacher; J. N. Ridley; G. L. Mullen

doi:10.1007/s002000050107

Nets and Sequences Obtained from Irreducible Polynomials over Finite Fields

A. Knopfmacher, J. N. Ridley, G. L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Pages (from-to)	265-269
Number of pages	5
Journal	Applicable Algebra in Engineering, Communications and Computing
Volume	9
Issue number	3
DOIs	https://doi.org/10.1007/s002000050107
State	Published - Nov 1998

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Applied Mathematics

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10.1007/s002000050107

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abstract = "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.",

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AU - Knopfmacher, A.

AU - Ridley, J. N.

AU - Mullen, G. L.

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N2 - 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.

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Nets and Sequences Obtained from Irreducible Polynomials over Finite Fields

Abstract

All Science Journal Classification (ASJC) codes

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