Primitive normal pairs with prescribed norm and trace
type: Item
instance of: scholarly article
title: Primitive normal pairs with prescribed norm and trace
zbMATH Open document ID: 1484.11226
author: Avnish K. Sharma
author: Mamta Rani
author: Sharwan K. Tiwari
published in: Finite Fields and their Applications
publication date: 2022-01-14T00:00:00Z
Mathematics Subject Classification ID: 11T30
Mathematics Subject Classification ID: 12E20
Mathematics Subject Classification ID: 11T23
zbMATH DE Number: 7457364
zbMATH Keywords: finite fields
zbMATH Keywords: primitive elements
zbMATH Keywords: normal elements
zbMATH Keywords: norm
zbMATH Keywords: trace
zbMATH Keywords: additive and multiplicative characters
describes a project that uses: SageMath
MaRDI profile type: Publication
full work available at URL: j.ffa.2021.101976
OpenAlex ID: W4200248338
cites work: Existence of some special primitive normal elements over finite fields
cites work: Primitive values of quadratic polynomials in a finite field
cites work: Primitive elements with prescribed trace
cites work: Primitive elements with zero traces
cites work: Consecutive Primitive Roots in a Finite Field
cites work: Q4515264
cites work: Primitive normal bases with prescribed trace
cites work: Primitivity, freeness, norm and trace
cites work: THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
cites work: The strong primitive normal basis theorem
cites work: A CLASS OF INCOMPLETE CHARACTER SUMS
cites work: Primitive element pairs with one prescribed trace over a finite field
cites work: An extension of the (strong) primitive normal basis theorem
cites work: Primitive Normal Bases for Finite Fields
cites work: Existence of primitive normal pairs with one prescribed trace over finite fields
cites work: On the existence of some specific elements in finite fields of characteristic 2
DOI: 10.1016/J.FFA.2021.101976
description: scientific article; zbMATH DE number 7457364