论文标题

置换多项式及其组成倒置

Permutation Polynomials and their Compositional Inverses

论文作者

Yuan, Pingzhi

论文摘要

在本文中,我们证明每个PP都是AGW-PP。我们还将WAN和LIDL的结果扩展到有限场上的其他置换多项式,并确定其组结构。此外,我们提供了一种新的通用方法,以找到所有PP的组成逆,一些新的PPS及其组成倒置。

In this paper, we prove that every PP is an AGW-PP. We also extend the result of Wan and Lidl to other permutation polynomials over finite fields and determine their group structure. Moreover, we provide a new general method to find the compositional inverses of all PPs, some new PPs and their compositional inverses are given.

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