On the inverses of permutation polynomials of the form h(ψ(x))φ(x)+g(ψ(x)) over finite fields
Abstract
In this paper, we investigate the compositional inverses of permutation polynomials of the form \[ F(x)=h(ψ(x))φ(x)+g(ψ(x)) ∈ Fqn[x], \] where \(ψ(x),φ(x) ∈ Fqn[x]\) are additive polynomials, \(h(x), g(x) ∈ Fqn[x]\) satisfy h(ψ(Fqn)) ⊂eq Fq*, and there exists a polynomial \(ψ(x) ∈ Fqn[x]\) such that ψ(F(x)) = ψ(x).
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.