Marginal sets in semigroups and semirings
Fuente:
arXiv
Guardado en:
| Autores principales: | , , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2025
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866918137471959040 |
|---|---|
| author | Buchinskiy, I. Kotov, M. Ponmaheshkumar, A. Perumal, R. |
| author_facet | Buchinskiy, I. Kotov, M. Ponmaheshkumar, A. Perumal, R. |
| contents | In 2019, V. A. Roman'kov introduced the concept of marginal sets for groups. He developed a theory of marginal sets and demonstrated how these sets can be applied to improve some key exchange schemes. In this paper, we extend his ideas and introduce the concept of marginal sets for semigroups and semirings. For tropical matrix semigroups and semirings, we describe how some marginal sets can be constructed. We apply marginal sets to improve some key exchange schemes over semigroups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_06562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Marginal sets in semigroups and semirings Buchinskiy, I. Kotov, M. Ponmaheshkumar, A. Perumal, R. Cryptography and Security In 2019, V. A. Roman'kov introduced the concept of marginal sets for groups. He developed a theory of marginal sets and demonstrated how these sets can be applied to improve some key exchange schemes. In this paper, we extend his ideas and introduce the concept of marginal sets for semigroups and semirings. For tropical matrix semigroups and semirings, we describe how some marginal sets can be constructed. We apply marginal sets to improve some key exchange schemes over semigroups. |
| title | Marginal sets in semigroups and semirings |
| topic | Cryptography and Security |
| url | https://arxiv.org/abs/2509.06562 |