Dickson polynomials over finite fields

DOI10.1016/j.ffa.2012.02.001zbMath1266.11128OpenAlexW2061818608MaRDI QIDQ439091

Joseph L. Yucas, Qiang Wang

Publication date: 1 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2012.02.001

zbMATH Keywords

finite fieldsMAGMAfactorizationpermutation polynomialsDickson polynomialsGröbner bases over ringsHermite's criterion

Mathematics Subject Classification ID

Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Polynomials over finite fields (11T06)

Related Items (20)

Reversed Dickson polynomials of the (\(k+1\))-th kind over finite fields ⋮ Numerical solutions for nonlinear multi-term fractional differential equations via Dickson operational matrix ⋮ Necessary conditions for reversed Dickson polynomials of the second kind to be permutational ⋮ Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method ⋮ Generalized Lucas polynomials over finite fields ⋮ On inverses of some permutation polynomials over finite fields of characteristic three ⋮ A unified approach to derive explicit solutions of generalized second-order linear recurrences and applications ⋮ Unnamed Item ⋮ Triple-Cycle Permutations Over Finite Fields of Characteristic Two ⋮ Orthogonality of the Dickson polynomials of the $(k+1)$-th kind ⋮ The first and second moments of reversed Dickson polynomials over finite fields ⋮ A novel operational matrix for the numerical solution of nonlinear Lane-Emden system of fractional order ⋮ A Note on Permutation Binomials and Trinomials over Finite Fields ⋮ Dembowski-Ostrom polynomials and reversed Dickson polynomials ⋮ Permutation polynomials over finite fields -- a survey of recent advances ⋮ Further factorization of \(x^n - 1\) over a finite field ⋮ A trigonometric approach for Dickson polynomials over fields of characteristic two ⋮ Permutational behavior of reversed Dickson polynomials over finite fields ⋮ Permutational behavior of reversed Dickson polynomials over finite fields. II ⋮ Further factorization of xn − 1 over a finite field (II)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Reversed Dickson polynomials over finite fields
• The factorization of Dickson polynomials over finite fields
• Factoring Dickson polynomials over finite fields
• Decomposition of a recursive family of polynomials
• Complete decomposition of Dickson-type polynomials and related Diophantine equations
• Dickson Polynomials of the Second Kind that are Permutations

This page was built for publication: Dickson polynomials over finite fields