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An Upper Bound for the Cardinality of ans-Distance Set in Euclidean Space

Author:
Etsuko Bannai   Kazuki Kawasaki   Yusuke Nitamizu   Teppei Sato  


Journal:
Combinatorica


Issue Date:
2003


Abstract(summary):

In this paper we show that if X is an s-distance set in Ropf m and X is on p concentric spheres then |X| les Sigma i=02p-1 ( s-im+s-i-1). Moreover if X is antipodal, then |X| les 2Sigma i=0p-1 ( m-1m+s-2i-2)


Page:
535-557


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