Improved approaches for investigation of small spherical designs
نویسندگان
چکیده
We strengthen previously applied polynomial techniques for investigation of spherical designs to obtain new bounds on inner products in some class of designs. This allows further improvements on the best known lower bounds for the minimum possible odd cardinality of designs of odd strength either in small dimensions and in certain asymptotic process.
منابع مشابه
Polynomial techniques for investigation of spherical designs
We investigate the structure of spherical τ -designs by applying polynomial techniques for investigation of some inner products of such designs. Our approach can be used for large variety of parameters (dimension, cardinality, strength). We obtain new upper bounds for the largest inner product, lower bounds for the smallest inner product and some other bounds. Applications are shown for proving...
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