The compositional inverse of a class of linearized permutation polynomials over ${\mathbb{F}}_{2^n}$, $n$ odd

Abstract

In this paper, the compositional inverses of a class of linearized permutation polynomials of the form $P(x)=x+x^2+\tr(\frac{x}{a})$ over the finite field ${\mathbb{F}}_{2^n}$ for an odd positive integer $n$ are explicitly determined.

17 pages

Cited by in corpus (3)

• The compositional inverses of linearized permutation binomials over finite fields
• $\mathcal{P}\mathcal{S}$ bent functions constructed from finite pre-quasifield spreads
• On the inverses of some classes of permutations of finite fields