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arXiv · 1706.02638

Generic polynomials for cyclic function field extensions over certain finite fields

Sophie Marques
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Abstract

In this paper, we find all the generic polynomials for geometric $\ell$-cyclic function field extensions over the finite fields $\mathbb{F}_q$ where $q= p^n$, $p$ prime integer such that $q \equiv -1 \mod \ell$ and $(\ell , p)=1$.

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Sophie Marques. 2017-06-08. Generic polynomials for cyclic function field extensions over certain finite fields. https://arxiv.org/abs/1706.02638

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