Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields |
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Authors: | A. Knopfmacher J. N. Ridley G. L. Mullen |
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Affiliation: | (1) University of the Witwatersrand, Johannesburg (e-mail: arnoldk@gauss.cam.wits.ac.za), ZA;(2) Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA (e-mail: mullen@math.psu.edu), US |
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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. Received: February 12, 1998; revised version: July 7, 1998 |
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Keywords: | Finite field Irreducible Polynomial (t m s)-net in base b. |
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