An Explicit Construction of Orthogonal Basis in $p$-adic Fields
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866915616983613440 |
|---|---|
| author | Zhang, Chi Deng, Yingpu |
| author_facet | Zhang, Chi Deng, Yingpu |
| contents | In 2021, the $p$-adic signature scheme and public-key encryption cryptosystem were introduced. These schemes have good efficiency but are shown to be not secure. The attack succeeds because the extension fields used in these schemes are totally ramified. In order to avoid this attack, the extension field should have a large residue degree. In this paper, we propose a method of constructing a kind of specific orthogonal basis in $p$-adic fields with a large residue degree, which would be helpful to modify the $p$-adic signature scheme and public-key encryption cryptosystem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_17982 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | An Explicit Construction of Orthogonal Basis in $p$-adic Fields Zhang, Chi Deng, Yingpu Number Theory In 2021, the $p$-adic signature scheme and public-key encryption cryptosystem were introduced. These schemes have good efficiency but are shown to be not secure. The attack succeeds because the extension fields used in these schemes are totally ramified. In order to avoid this attack, the extension field should have a large residue degree. In this paper, we propose a method of constructing a kind of specific orthogonal basis in $p$-adic fields with a large residue degree, which would be helpful to modify the $p$-adic signature scheme and public-key encryption cryptosystem. |
| title | An Explicit Construction of Orthogonal Basis in $p$-adic Fields |
| topic | Number Theory |
| url | https://arxiv.org/abs/2410.17982 |