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Elements of high order in Artin-Schreier extensions of finite fields $\mathbb F_q$

Published 24 Sep 2015 in math.NT and math.GR | (1509.07478v2)

Abstract: In this article, we find a lower bound for the order of the coset x+b in the Artin-Schreier extension $\mathbb F_q[x]/(xp-x-a)$, where $b\in\mathbb F_q$ that satisfies a generic special condition.

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