Factoring Dickson polynomials over finite fields

DOI10.1006/ffta.1998.0221zbMath0929.11060OpenAlexW2026529079MaRDI QIDQ1290924

Manjul Bhargava, Michael E. Zieve

Publication date: 2 February 2000

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

Full work available at URL: https://semanticscholar.org/paper/3414a1a43f4aeae8272d6397649efb601d30f118

zbMATH Keywords

finite fieldfactorizationsDickson polynomialbivariate Dickson polynomials

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Polynomials over finite fields (11T06)

Related Items (21)

Generalized reciprocals, factors of Dickson polynomials and generalized cyclotomic polynomials over finite fields ⋮ Explicit factorizations of generalized Dickson polynomials of order \(2^m\) via generalized cyclotomic polynomials over finite fields ⋮ Congruences for Brewer sums ⋮ Bivariate identities related to Chebyshev and Dickson polynomials over \(\mathbb{F}_q\) ⋮ Further results on complete permutation monomials over finite fields ⋮ On Toeplitz codes of index \(t\) and isometry codes ⋮ An improved method for constructing formally self-dual codes with small hulls ⋮ Generalized Lucas polynomials over finite fields ⋮ A CRITERION FOR THE JACOBSON SEMISIMPLICITY OF THE GREEN RING OF A FINITE TENSOR CATEGORY ⋮ On LCD codes from skew symmetric Toeplitz matrices ⋮ Dickson polynomials over finite fields ⋮ LCD codes from tridiagonal Toeplitz matrices ⋮ A numerical approach with error estimation to solve general integro-differential-difference equations using Dickson polynomials ⋮ Permutation properties of Dickson and Chebyshev polynomials with connections to number theory ⋮ Complete permutation polynomials from exceptional polynomials ⋮ Factors of Dickson polynomials over finite fields. ⋮ Counting points on hyperelliptic curves of type \(y^2=x^{2g+1}+ax^{g+1}+bx\) ⋮ Irreducible factorization of translates of reversed Dickson polynomials over finite fields ⋮ Periodic harmonic functions on lattices and points count in positive characteristic ⋮ 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

• The factorization of Dickson polynomials over finite fields
• Note on Dickson's permutation polynomials
• Bivariate factorizations connecting Dickson polynomials and Galois theory
• Unnamed Item
• Unnamed Item
• Unnamed Item

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