Arcs in projective planes over prime fields (Q919609)
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scientific article; zbMATH DE number 4161552
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arcs in projective planes over prime fields |
scientific article; zbMATH DE number 4161552 |
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Arcs in projective planes over prime fields (English)
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1990
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Segre has shown that if A is a complete arc which is not a conic then \[ \#\quad A\leq p-\sqrt{p}/4+7/4. \] This result is valid even when p is not a prime number. The author shows Theorem. Let \(p\neq 2\) be a prime number and \(A\subseteq PG(2,p)\) a complete arc, not a conic. Then \[ \#\quad A\leq p-p/45+2. \]
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projective plane
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complete arc
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