On a Class of Permutation Rational Functions Involving Trace Maps
Fuente:
arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866910283016962048 |
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| author | Chen, Ruikai Mesnager, Sihem |
| author_facet | Chen, Ruikai Mesnager, Sihem |
| contents | Permutation rational functions over finite fields have attracted high interest in recent years. However, only a few of them have been exhibited. This article studies a class of permutation rational functions constructed using trace maps on extensions of finite fields, especially for the cases of quadratic and cubic extensions. Our achievements are obtained by investigating absolute irreducibility of some polynomials in two indeterminates. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04124 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On a Class of Permutation Rational Functions Involving Trace Maps Chen, Ruikai Mesnager, Sihem Number Theory 11T06, 14H05 Permutation rational functions over finite fields have attracted high interest in recent years. However, only a few of them have been exhibited. This article studies a class of permutation rational functions constructed using trace maps on extensions of finite fields, especially for the cases of quadratic and cubic extensions. Our achievements are obtained by investigating absolute irreducibility of some polynomials in two indeterminates. |
| title | On a Class of Permutation Rational Functions Involving Trace Maps |
| topic | Number Theory 11T06, 14H05 |
| url | https://arxiv.org/abs/2309.04124 |