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On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\) - MaRDI portal

On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\) (Q925489)

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scientific article; zbMATH DE number 5282554
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On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\)
scientific article; zbMATH DE number 5282554

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    On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\) (English)
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    3 June 2008
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    Summary: We give a general criterion for permutation polynomials of the form \(x^r f(x^{(q-1)/\ell})\), where \(r\geq 1\), \(\ell \geq 1\) and \(l | (q-1)\). We employ this criterion to characterize several classes of permutation polynomials.
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