Construction of irreducible polynomials using cubic transformation (Q1908898)
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scientific article; zbMATH DE number 852849
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of irreducible polynomials using cubic transformation |
scientific article; zbMATH DE number 852849 |
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Construction of irreducible polynomials using cubic transformation (English)
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19 May 1996
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The author shows that for all finite fields of characteristic \(>3\), there exists a polynomial \(f(x)\) of degree \(n\), each \(n\geq 1\), in \(F_q[X]\) which generates an infinite sequence of irreducible polynomials of degree \(3^in\) by iteration of the transformation \(f(x) \mapsto f(x^3-3x)\).
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finite fields
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infinite sequence of irreducible polynomials
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