Partitions of Desarguesian and Hughes planes into complete and incomplete arcs (Q1824859)
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scientific article; zbMATH DE number 4119078
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partitions of Desarguesian and Hughes planes into complete and incomplete arcs |
scientific article; zbMATH DE number 4119078 |
Statements
Partitions of Desarguesian and Hughes planes into complete and incomplete arcs (English)
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1989
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A k-arc in a projective plane is a set of k points no three of which are collinear. A k-arc is complete if it is not contained in a \((k+1)\)-arc. Th author presents partitions of Desarguesian projective planes \(PG(2,q^ 2)\) and of Hughes planes into a number of \(q^ 2+q+1\) equicardinal arcs. This paper is connected with the author's previous paper [Math. Proc. Camb. Philos. Soc. 104, No.3, 435-440 (1988; Zbl 0657.51005)].
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k-arc
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partitions of Desarguesian projective planes
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Hughes planes
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0.8630072474479675
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0.8427115678787231
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