ON SOME CLASSES OF PERMUTATION POLYNOMIALS

DOI10.1142/S1793042108001249zbMath1218.11108OpenAlexW2011044835MaRDI QIDQ5386988

Qiang Wang, Sean Alaric, Amir Akbary

Publication date: 14 May 2008

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042108001249

zbMATH Keywords

permutation polynomialsDickson polynomialsLucas sequenceslacunary sums of multinomial coefficients

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items

On the inverses of some classes of permutations of finite fields ⋮ Further results on complete permutation monomials over finite fields ⋮ More classes of permutation hexanomials and pentanomials over finite fields with even characteristic ⋮ Specific permutation polynomials over finite fields ⋮ Cyclotomy and permutation polynomials of large indices ⋮ New methods for generating permutation polynomials over finite fields ⋮ The compositional inverse of a class of bilinear permutation polynomials over finite fields of characteristic 2 ⋮ On polynomials of the form \(x^{r}f(x^{(q - 1)/l})\) ⋮ Cyclotomic Mapping Permutation Polynomials over Finite Fields ⋮ On the number of permutation polynomials over a finite field ⋮ On some permutation polynomials over $\mathbb {F}_q$ of the form $x^r h(x^{(q-1)/d})$ ⋮ SOME FAMILIES OF PERMUTATION POLYNOMIALS OVER FINITE FIELDS

Cites Work

• On permutation polynomials
• Permutation polynomials of the form \(x^r f(x^{(q-1)/d)}\) and their group structure
• When Does a Polynomial Over a Finite Field Permute the Elements of the Field?
• When Does a Polynomial over a Finite Field Permute the Elements of the Field?, II
• Permutation polynomials with exponents in an arithmetic progression
• A generalized Lucas sequence and permutation binomials