The smallest point sets that meet all generators of \(H(2n,q^2)\) (Q557079)
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scientific article; zbMATH DE number 2182131
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The smallest point sets that meet all generators of \(H(2n,q^2)\) |
scientific article; zbMATH DE number 2182131 |
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The smallest point sets that meet all generators of \(H(2n,q^2)\) (English)
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23 June 2005
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The authors improve the result of Thas by showing that the smallest cardinality of a set of points of \(H(2n,q^2)\) meeting all generators of \(H(2n,q^2)\) is \(q^{2n-2}(q^3+1)\). And also it is shown that, up to isomorphism, there is only one example of this size, and this consists of the points of a cone \(S_{n-2}H(2,q^2)\) that do not lie in the vertex \(S_{n-2}\) of the cone.
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ovoids
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polar spaces
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blocking sets
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Hermitian variety
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