On inverses of some permutation polynomials over finite fields of characteristic three

Abstract

By using the piecewise method, Lagrange interpolation formula and Lucas' theorem, we determine explicit expressions of the inverses of a class of reversed Dickson permutation polynomials and some classes of generalized cyclotomic mapping permutation polynomials over finite fields of characteristic three.

References in corpus (6)

• Permutation trinomials over ${\mathbb{F}}_{2^m}$: a corrected version
• On Inverses of Permutation Polynomials of Small Degree over Finite Fields
• Large classes of permutation polynomials over ${\mathbb{F}}_{q^2}$
• Piecewise constructions of inverses of cyclotomic mapping permutation polynomials
• The compositional inverses of linearized permutation binomials over finite fields
• On the inverses of some classes of permutations of finite fields

Cited by in corpus (1)

• On the constructions of $n$-cycle permutations