Construction of Designs on the 2-Sphere
نویسنده
چکیده
Spherical r-designs are Chebyshev-type averaging sets on the d-dimensional unit sphere Sd-l that are exact for all polynomials of degree at most t. The concept of such designs was introduced by Delsarte , Goethals and Seidel in 1977. The existence of spherical designs for every t and d was proved by Seymour and Zaslavsky in 1984. Although some sporadic examples are known, no general construction has been given. In this paper we give a simple construction of relatively small designs on S 2.
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عنوان ژورنال:
- Eur. J. Comb.
دوره 12 شماره
صفحات -
تاریخ انتشار 1991