The compositional inverses of permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+δ)^{s_i}-x$ over $\mathbb{F}_{p^{2m}}$ (2409.18662v1)

Abstract: In this paper, we present the compositional inverses of several classes permutation polynomials of the form $\sum_{i=1}^kb_i(x^{p^m}+x+\delta)^{s_i}-x$ over $\mathbb{F}{p^{2m}}$, where for $1\leq i \leq k,$ $s_i, m$ are positive integers, $b_i, \delta \in \mathbb{F}{p^{2m}},$ and $p$ is prime.