A class of permutation trinomials over finite fields (Q2872667)
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scientific article; zbMATH DE number 6245880
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of permutation trinomials over finite fields |
scientific article; zbMATH DE number 6245880 |
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A class of permutation trinomials over finite fields (English)
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15 January 2014
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permutation polynomial
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finite field
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discriminant
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Let \(\mathbb F_q\) denote the finite field with \(q\) elements. Binomial permutation polynomials over \(\mathbb F_q\) have been extensively studied. Here the author considers trinomials of the form \(x^{2q-1}+tx^q-x\in\mathbb F_q[x]\). He gives necessary and sufficient conditions on \(q\) and \(t\) to yield a permutation of \(\mathbb F_{q^2}\). The proof is a lengthy computation.
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