A characterization and an explicit description of all primitive polynomials of degree two over finite fields
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913518152843264 |
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| author | Vega, Gerardo |
| author_facet | Vega, Gerardo |
| contents | For polynomials of degree two over finite fields, we present an improvement of Fitzgerald's characterization (Finite Fields Appl. 9(1):117-121, 2003). We then use this new characterization to obtain an explicit, complete, and simple description of all primitive polynomials of degree two over finite fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_17147 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A characterization and an explicit description of all primitive polynomials of degree two over finite fields Vega, Gerardo General Mathematics 11T71 For polynomials of degree two over finite fields, we present an improvement of Fitzgerald's characterization (Finite Fields Appl. 9(1):117-121, 2003). We then use this new characterization to obtain an explicit, complete, and simple description of all primitive polynomials of degree two over finite fields. |
| title | A characterization and an explicit description of all primitive polynomials of degree two over finite fields |
| topic | General Mathematics 11T71 |
| url | https://arxiv.org/abs/2409.17147 |