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.