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

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