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

Authors:
B. Bajnok;S. B. Damelin;G. L. Mullen
Affiliations:
Gettusburg College, PA;Georgia Southern Univ., Stateboro, GA;Pennsylvania State Univ., University Park, PA
Venue:
Computing
Year:
2002

Citing 0
Cited 4

Energy functionals, numerical integration and asymptotic equidistribution on the sphere

Journal of Complexity
On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in Rn

Journal of Complexity
On point energies, separation radius and mesh norm for s-extremal configurations on compact sets in Rn

Journal of Complexity
Numerical properties of generalized discrepancies on spheres of arbitrary dimension

Journal of Complexity

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Abstract

We use solutions to quadratic forms in d + 1 variables over finiter fields to scatter points the surface of the unit shpere S ,d 1. Applications are given for spherical t designs and generalized s energies.