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A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres

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d

+1 variables over finite fields to scatter points on the surface of the unit sphere S d, d≥1. Applications are given for spherical t designs and generalized s energies.

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Authors and Affiliations

  1. Department of Mathematics Gettysburg College Gettysburg PA 17325 USA e-mail: bbajnok@gettysburg.edu, , , , , , US

    B. Bajnok

  2. Department of Mathematics and Computer Science Georgia Southern University P. O. Box 8093 Statesboro GA 31406 USA e-mail: damelin@gsu.cs.gasou.edu, , , , , , US

    S. B. Damelin

  3. Department of Mathematics The Pennsylvania State University University Park PA 16802 e-mails: li@math.psu.edu mullen@math.psu.edu, , , , , , US

    J. Li & G. L. Mullen

Authors
  1. B. Bajnok
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  2. S. B. Damelin
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  3. J. Li
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  4. G. L. Mullen
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Received May 2, 2001; revised October 2, 2001 Published online February 18, 2002

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Bajnok, B., Damelin, S., Li, J. et al. A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres. Computing 68, 97–109 (2002). https://doi.org/10.1007/s00607-001-1434-9

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  • DOI: https://doi.org/10.1007/s00607-001-1434-9