Some notes on the k-normal elements and k-normal polynomials over finite fields

DOI10.1142/S0219498817500062zbMath1366.11118arXiv1501.00397OpenAlexW2962901537MaRDI QIDQ2958471

Mahmood Alizadeh

Publication date: 2 February 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.00397

zbMATH Keywords

finite fieldsnormal basis\(k\)-normal element\(k\)-normal polynomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items

On \(r\)-primitive \(k\)-normal elements over finite fields, The average density of \(k\)-normal elements over finite fields, Recursive constructions of k-normal polynomials using some rational transformations over finite fields, Existence of primitive 1-normal elements in finite fields

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