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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.18759 |
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| _version_ | 1866909511886831616 |
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| author | Pang, Xuan Yuan, Pingzhi Li, Hongjian |
| author_facet | Pang, Xuan Yuan, Pingzhi Li, Hongjian |
| contents | Permutation polynomials with explicit constructions over finite fields have long been a topic of great interest in number theory. In recent years, by applying linear translators of functions from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q$, many scholars constructed some classes of permutation polynomials. Motivated by previous works, we first naturally extend the notion of linear translators and then construct some permutation polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18759 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Some permutation polynomials via linear translators Pang, Xuan Yuan, Pingzhi Li, Hongjian Number Theory 11C08, 12E10 Permutation polynomials with explicit constructions over finite fields have long been a topic of great interest in number theory. In recent years, by applying linear translators of functions from $\mathbb{F}_{q^n}$ to $\mathbb{F}_q$, many scholars constructed some classes of permutation polynomials. Motivated by previous works, we first naturally extend the notion of linear translators and then construct some permutation polynomials. |
| title | Some permutation polynomials via linear translators |
| topic | Number Theory 11C08, 12E10 |
| url | https://arxiv.org/abs/2502.18759 |