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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2506.24012 |
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| _version_ | 1866911029995241472 |
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| author | Chen, Ruikai |
| author_facet | Chen, Ruikai |
| contents | We investigate a family of permutation polynomials of finite fields of characteristic 2. Through a connection between permutation polynomials and quadratic forms, a general treatment is presented to characterize these permutation polynomials. By determining some character sums associated with quadratic forms, we explicitly describe several classes of permutation polynomials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_24012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A general approach to permutation polynomials from quadratic forms Chen, Ruikai Number Theory We investigate a family of permutation polynomials of finite fields of characteristic 2. Through a connection between permutation polynomials and quadratic forms, a general treatment is presented to characterize these permutation polynomials. By determining some character sums associated with quadratic forms, we explicitly describe several classes of permutation polynomials. |
| title | A general approach to permutation polynomials from quadratic forms |
| topic | Number Theory |
| url | https://arxiv.org/abs/2506.24012 |