A constructive finite field method for scattering points on the surface of d-dimensional spheres

B. Bajnok; S. B. Damelin; J. Li; G. L. Mullen

doi:10.1007/s00607-001-1434-9

A constructive finite field method for scattering points on the surface of d-dimensional spheres

B. Bajnok, S. B. Damelin, J. Li, G. L. Mullen

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

8 Scopus citations

Abstract

We use solutions to quadratic forms in 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.

Original language	English (US)
Pages (from-to)	97-109
Number of pages	13
Journal	Computing (Vienna/New York)
Volume	68
Issue number	2
DOIs	https://doi.org/10.1007/s00607-001-1434-9
State	Published - 2002

All Science Journal Classification (ASJC) codes

Software
Theoretical Computer Science
Numerical Analysis
Computer Science Applications
Computational Theory and Mathematics
Computational Mathematics

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10.1007/s00607-001-1434-9

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title = "A constructive finite field method for scattering points on the surface of d-dimensional spheres",

abstract = "We use solutions to quadratic forms in d + 1 variables over finite fields to scatter points on the surface of the unit sphere Sd, d ≥ 1. Applications are given for spherical t designs and generalized s energies.",

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AU - Bajnok, B.

AU - Damelin, S. B.

AU - Li, J.

AU - Mullen, G. L.

PY - 2002

Y1 - 2002

N2 - We use solutions to quadratic forms in d + 1 variables over finite fields to scatter points on the surface of the unit sphere Sd, d ≥ 1. Applications are given for spherical t designs and generalized s energies.

AB - We use solutions to quadratic forms in d + 1 variables over finite fields to scatter points on the surface of the unit sphere Sd, d ≥ 1. Applications are given for spherical t designs and generalized s energies.

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U2 - 10.1007/s00607-001-1434-9

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JF - Computing (Vienna/New York)

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ER -

A constructive finite field method for scattering points on the surface of d-dimensional spheres

Abstract

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