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Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields

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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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Authors and Affiliations

  1. University of the Witwatersrand, Johannesburg (e-mail: arnoldk@gauss.cam.wits.ac.za), , , , , , ZA

    A. Knopfmacher & J. N. Ridley

  2. Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA (e-mail: mullen@math.psu.edu), , , , , , US

    G. L. Mullen

Authors
  1. A. Knopfmacher
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  2. J. N. Ridley
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  3. G. L. Mullen
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Additional information

Received: February 12, 1998; revised version: July 7, 1998

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Knopfmacher, A., Ridley, J. & Mullen, G. Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields. AAECC 9, 265–269 (1998). https://doi.org/10.1007/s002000050107

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  • DOI: https://doi.org/10.1007/s002000050107

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