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Spherical designs in four dimensions | IEEE Conference Publication | IEEE Xplore

Spherical designs in four dimensions


Abstract:

A preliminary report on our investigations into the existence of spherical t-designs on the unit sphere /spl Omega//sub 4/ in 4-dimensional Euclidean space. Tables are gi...Show More

Abstract:

A preliminary report on our investigations into the existence of spherical t-designs on the unit sphere /spl Omega//sub 4/ in 4-dimensional Euclidean space. Tables are given of the putatively best t-designs with up to 100 points. Some general constructions are proposed and explicit constructions are given for N-point strength t designs with N=4p and t=min{p-1,5}, N=6p and t=min{p-1,7}, and N=12p and t=min{p-1,11}, for all p /spl ges/ 1.
Date of Conference: 31 March 2003 - 04 April 2003
Date Added to IEEE Xplore: 04 August 2003
Print ISBN:0-7803-7799-0
Conference Location: Paris, France

References

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