Recursive constructions of k-normal polynomials using some rational transformations over finite fields

DOI10.1142/S0219498820502102zbMath1472.11299OpenAlexW2977762256WikidataQ114614534 ScholiaQ114614534MaRDI QIDQ5133860

Ryul Kim, Hyang-Sim Son

Publication date: 11 November 2020

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

Full work available at URL: https://doi.org/10.1142/s0219498820502102

zbMATH Keywords

finite fieldirreducible polynomial\(k\)-normal polynomial

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Finite fields (field-theoretic aspects) (12E20) Special polynomials in general fields (12E10)

Related Items (3)

Recursive construction of normal polynomials over finite fields ⋮ Constructions of irreducible polynomials over finite fields with even characteristic ⋮ Construction of irreducible polynomials over finite fields

Cites Work

• Recursive constructions of irreducible polynomials over finite fields
• Iterated constructions of irreducible polynomials over finite fields with linearly independent roots
• On completely free elements in finite fields
• On \(k\)-normal elements over finite fields
• Existence and properties of \(k\)-normal elements over finite fields
• Some notes on the k-normal elements and k-normal polynomials over finite fields
• A Recurrent Method for Constructing Irreducible Polynomials over Finite Fields
• Construction of self-reciprocal normal polynomials over finite fields of even characteristic
• On irreducible polynomials of certain types in finite fields
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