A note on permutation polynomials and finite geometries (Q913248)
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scientific article; zbMATH DE number 4146969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on permutation polynomials and finite geometries |
scientific article; zbMATH DE number 4146969 |
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A note on permutation polynomials and finite geometries (English)
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1990
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Every permutation of GF(q) can be given by a polynomial of degree at most q-2. It is shown that, if f is a polynomial over GF(p), p an odd prime, such that, if f is a polynomial over GF(p), p an odd prime, such that \(f(x+c)-f(x)\) is such a permutation polynomial for all non-zero c in FG(p), then f is of degree two. This has the nice consequence that a transitive affine plane of prime order is Desarguesian.
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permutation polynomial
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affine plane
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