Explicit factorizations of generalized Dickson polynomials of order \(2^m\) via generalized cyclotomic polynomials over finite fields

DOI10.1016/j.ffa.2015.11.003zbMath1356.11085OpenAlexW2223701226WikidataQ114179483 ScholiaQ114179483MaRDI QIDQ2634389

Cemile Tosun

Publication date: 9 February 2016

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2015.11.003

zbMATH Keywords

finite fieldcyclotomic polynomialsDickson polynomials

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) Polynomials over finite fields (11T06) Special polynomials in general fields (12E10) Cyclotomy (11T22)

Related Items (2)

Explicit factors of generalized cyclotomic polynomials and generalized Dickson polynomials of order \(2^m 3\) over finite fields ⋮ Factorization of Dickson polynomials over finite fields

Cites Work

• Unnamed Item
• On explicit factors of cyclotomic polynomials over finite fields
• Congruences for Brewer sums
• Factors of Dickson polynomials over finite fields.
• The factorization of Dickson polynomials over finite fields
• Factoring Dickson polynomials over finite fields
• Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields
• Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields

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