Author： Boumova Silvia Boyvalenkov Peter Kulina Hristina Stoyanova Maya
Publisher： Springer Publishing Company
ISSN： 0925-1022
Source： Designs, Codes and Cryptography, Vol.51, Iss.3, 2009-06, pp. : 275-288
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Abstract
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 nonexistence results either in small dimensions and in certain asymptotic process. In particular, we complete the classification of the cardinalities for which 3-designs on
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