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Bannai, Eiichi; Bannai, Etsuko; Suprijanto, Djoko

On the strong non-rigidity of certain tight Euclidean designs. (English) Zbl 1123.05024

Eur. J. Comb. 28, No. 6, 1662-1680 (2007).
Summary: We study the non-rigidity of Euclidean \(t\)-designs, namely we study when Euclidean designs (in particular certain tight Euclidean designs) can be deformed keeping the property of being Euclidean \(t\)-designs. We show that certain tight Euclidean \(t\)-designs are non-rigid, and in fact satisfy a stronger form of non-rigidity which we call strong non-rigidity. This shows that there are plenty of non-isomorphic tight Euclidean \(t\)-designs for certain parameters, which seems to have been unnoticed before. We also include the complete classification of tight Euclidean 2-designs.

Cited in 7 Documents

MSC:

05B30 Other designs, configurations
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References:

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