Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912652863733760 |
|---|---|
| author | Mazumder, Arpan Chandra Kapetanakis, Giorgos Basnet, Dhiren Kumar |
| author_facet | Mazumder, Arpan Chandra Kapetanakis, Giorgos Basnet, Dhiren Kumar |
| contents | In this article, we study the existence and distribution of elements in finite field extensions with prescribed traces in several intermediate extensions that are also either normal or primitive normal. In the former case, we fully characterize the conditions under which such elements exist and provide an explicit enumeration of these elements. In the latter case we provide asymptotic results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_14840 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields Mazumder, Arpan Chandra Kapetanakis, Giorgos Basnet, Dhiren Kumar Number Theory 12E20, 11T24 In this article, we study the existence and distribution of elements in finite field extensions with prescribed traces in several intermediate extensions that are also either normal or primitive normal. In the former case, we fully characterize the conditions under which such elements exist and provide an explicit enumeration of these elements. In the latter case we provide asymptotic results. |
| title | Normal and primitive normal elements with prescribed traces in intermediate extensions of finite fields |
| topic | Number Theory 12E20, 11T24 |
| url | https://arxiv.org/abs/2510.14840 |