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

2015/09/24 by Fabio Enrique Brochero Martínez, Martinez, F. E. Brochero, Lucas Reis +1
Computer Science · Mathematics · #11T30 (secondary) #12E20 (primary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Coding theory and cryptography #FOS: Mathematics #Group Theory (math.GR) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1509.07478

openalex publication_date 2015/09/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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]/(x^p-x-a), where b∈\mathbb F_q that satisfies a generic special condition.

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