On some 10-arcs for deriving the minimum order for complete arcs in small projective planes (Q1808793)
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scientific article; zbMATH DE number 1369784
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some 10-arcs for deriving the minimum order for complete arcs in small projective planes |
scientific article; zbMATH DE number 1369784 |
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On some 10-arcs for deriving the minimum order for complete arcs in small projective planes (English)
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5 July 2000
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A \(k\)-arc in a projective plane is a set of \(k\) points, no three points are collinear. It is complete if not contained in a \(k+1\)-arc. Here the plane is taken to be \(PG(2,q)\). The authors start by determining 10-arcs having the dihedral group of order 6 as stabilizer. They find the smallest complete arcs in \(PG(2,17)\) and arcs of very small size for several other values of \(q>17\).
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\(k\)-arc
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smallest complete arcs
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