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A classification of permutation polynomials of degree $7$ over finite fields

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arxiv 1812.02080 v1 pith:7F5MAFPY submitted 2018-12-05 math.NT

classification math.NT
keywords classificationdegreepermutationpolynomialsfieldsfinitegivehelp
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abstract

Up to linear transformations, we give a classification of all permutation polynomials of degree $7$ over $\mathbb{F}_{q}$ for any odd prime power $q$, with the help of the SageMath software.

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