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arXiv · 1606.00465

Complete permutation polynomials from exceptional polynomials

Daniele Bartoli·Massimo Giulietti·Luciane Quoos·Giovanni Zini
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Abstract

We classify complete permutation polynomials of type $aX^{\frac{q^n-1}{q-1}+1}$ over the finite field with $q^n$ elements, for $n+1$ a prime and $n^4 < q$. For the case $n+1$ a power of the characteristic we study some known families. We also classify indecomposable exceptional polynomials of degree $8$ and $9$.

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Daniele Bartoli, Massimo Giulietti, Luciane Quoos, Giovanni Zini. 2017-02-17. Complete permutation polynomials from exceptional polynomials. https://arxiv.org/abs/1606.00465

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