Local method for compositional inverses of permutation polynomials

Abstract

In this paper, we provide a local method to find compositional inverses of all PPs, some new PPs and their compositional inverses are given.

KEYWORDS:

• Compositional inverses
• finite fields
• permutation polynomials
• surjection

2020 MATHEMATICS SUBJECT CLASSIFICATION:

• 11T06
• 11T71

Acknowledgments

We are very grateful to the anonymous referee for detailed comments and suggestions that have been a great help in improving the quality of this paper.

Additional information

Funding

This work is supported by the National Natural Science Foundation of China (grant no. 12171163).