Permutation polynomials over finite fields by the local criterion
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916412729065472 |
|---|---|
| author | Wu, Danyao Yuan, Pingzhi |
| author_facet | Wu, Danyao Yuan, Pingzhi |
| contents | In this paper, we further investigate the local criterion and present a class of permutation polynomials and their compositional inverses over $ \mathbb{F}_{q^2}$. Additionally, we demonstrate that linearized polynomial over $\mathbb{F}_{q^n}$ is a local permutation polynomial with respect to all linear transformations from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q ,$ and that every permutation polynomial is a local permutation polynomial with respect to certain mappings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18758 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Permutation polynomials over finite fields by the local criterion Wu, Danyao Yuan, Pingzhi Number Theory In this paper, we further investigate the local criterion and present a class of permutation polynomials and their compositional inverses over $ \mathbb{F}_{q^2}$. Additionally, we demonstrate that linearized polynomial over $\mathbb{F}_{q^n}$ is a local permutation polynomial with respect to all linear transformations from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q ,$ and that every permutation polynomial is a local permutation polynomial with respect to certain mappings. |
| title | Permutation polynomials over finite fields by the local criterion |
| topic | Number Theory |
| url | https://arxiv.org/abs/2409.18758 |