Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\)
type: Item
instance of: scholarly article
title: Elements of high order in finite fields of the form \(\mathbb F_q[x]/(x^m-a)\)
zbMATH Open document ID: 1275.11150
published in: Finite Fields and their Applications
publication date: 2013-01-14T00:00:00Z
review text: For any finite extension field \(\mathbb F_q[x]/(x^m-a)\), the author constructs elements of order at least \(2^{\lfloor\sqrt[3]{2m}\rfloor}\).
reviewed by: Astrid Reifegerste
Mathematics Subject Classification ID: 11T30
zbMATH DE Number: 6125341
zbMATH Keywords: finite field
zbMATH Keywords: multiplicative order
zbMATH Keywords: high order elements
zbMATH Keywords: Kummer polynomial
author: Roman B. Popovych
MaRDI profile type: Publication
full work available at URL: j.ffa.2012.10.006
OpenAlex ID: W1599051761
DOI: 10.1016/J.FFA.2012.10.006
description: scientific article; zbMATH DE number 6125341