26 citations · 53 across the 32 of their papers we have counts for
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A generalization of Larman-Rogers-Seidel's theorem
Hiroshi Nozaki
A finite set X in the d-dimensional Euclidean space is called an s-distance set if the set of Euclidean distances between any two distinct points of X has size s. Larman--Rogers--S…
Geometrical approach to Seidel's switching for strongly regular graphs
Hiroshi Nozaki
In this paper, we simplify the known switching theorem due to Bose and Shrikhande as follows. Let be a primitive strongly regular graph with parameters . Let $…
Inside s-inner product sets and Euclidean designs
Hiroshi Nozaki
A finite set X in the Euclidean space is called an s-inner product set if the set of the usual inner products of any two distinct points in X has size s. First, we give a special u…
On a generalization of distance sets
Hiroshi Nozaki, Masashi Shinohara
A subset in the -dimensional Euclidean space is called a -distance set if there are exactly distinct distances between two distinct points in and a subset is…
New upper bound for the cardinalities of -distance sets on the unit sphere
Hiroshi Nozaki
We have the Fisher type inequality and the linear programming bound as upper bounds for the cardinalities of -distance sets on . In this paper, we give a new upper boun…