On Existence of Primitive Normal Elements of Cubic Form over Finite Fields
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Published:2022-01-13
Issue:01
Volume:29
Page:151-166
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ISSN:1005-3867
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Container-title:Algebra Colloquium
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language:en
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Short-container-title:Algebra Colloq.
Author:
Hazarika Himangshu1,
Basnet Dhiren Kumar1
Affiliation:
1. Department of Mathematical Sciences, Tezpur University, Assam, India
Abstract
For a prime [Formula: see text]and a positive integer[Formula: see text], let [Formula: see text] and [Formula: see text] be the extension field of [Formula: see text]. We derive a sufficient condition for the existence of a primitive element [Formula: see text] in[Formula: see text] such that [Formula: see text] is also a primitive element of [Formula: see text], a sufficient condition for the existence of a primitive normal element [Formula: see text] in [Formula: see text] over [Formula: see text] such that [Formula: see text] is a primitive element of [Formula: see text], and a sufficient condition for the existence of a primitive normal element [Formula: see text] in [Formula: see text] over [Formula: see text] such that [Formula: see text] is also a primitive normal element of [Formula: see text] over [Formula: see text].
Publisher
World Scientific Pub Co Pte Ltd
Subject
Applied Mathematics,Algebra and Number Theory