A note on N-polynomials over finite fields

DOI10.11568/kjm.2020.28.3.639zbMath1482.11156OpenAlexW3093132091MaRDI QIDQ5152010

Ikkwon Yie, Kitae Kim

Publication date: 18 February 2021

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/download/999/564

zbMATH Keywords

normal basis\(N\)-polynomialCohen transformation\(Q\)-transformation

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) Special polynomials in general fields (12E10)

Cites Work

• On the reducibility of some composite polynomials over finite fields
• Iterated constructions of irreducible polynomials over finite fields with linearly independent roots
• Factorization of a class of polynomials over finite fields
• Trace-orthogonal normal bases
• Recurrent methods for constructing irreducible polynomials over \(\text{GF}(2^s)\)
• On the construction of irreducible self-reciprocal polynomials over finite fields
• Groups of permutations generated by function-linear translator pairs
• Normal bases of cyclic fields of primepower degree
• Normal basis of finite field<tex>GF(2^m)</tex>(Corresp.)
• Self-Complementary Normal Bases in Finite Fields
• Unnamed Item

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