Semigroup action based on skew polynomial evaluation with applications to Cryptography
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866908687373697024 |
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| author | Camazón-Portela, Daniel López-Ramos, Juan Antonio |
| author_facet | Camazón-Portela, Daniel López-Ramos, Juan Antonio |
| contents | Through this work we introduce an action of the skew polynomial ring $\mathbb{F}_{q}\left[X; σ, δ\right]$ over $\mathbb{F}_{q}$ based on its polynomial valuation and the concept of left skew product of functions. This lead us to explore the construction of a certain subset $\mathcal{T}(X)\subset\mathbb{F}_{q}\left[X; σ, δ\right]$ that allow us to control the non-commutativity of this ring, and exploit this fact in order to build a public key exchange protocol that is secure in Canetti and Krawczyk model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_02603 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Semigroup action based on skew polynomial evaluation with applications to Cryptography Camazón-Portela, Daniel López-Ramos, Juan Antonio Cryptography and Security Information Theory 16S36, 20M30, 94A60 Through this work we introduce an action of the skew polynomial ring $\mathbb{F}_{q}\left[X; σ, δ\right]$ over $\mathbb{F}_{q}$ based on its polynomial valuation and the concept of left skew product of functions. This lead us to explore the construction of a certain subset $\mathcal{T}(X)\subset\mathbb{F}_{q}\left[X; σ, δ\right]$ that allow us to control the non-commutativity of this ring, and exploit this fact in order to build a public key exchange protocol that is secure in Canetti and Krawczyk model. |
| title | Semigroup action based on skew polynomial evaluation with applications to Cryptography |
| topic | Cryptography and Security Information Theory 16S36, 20M30, 94A60 |
| url | https://arxiv.org/abs/2512.02603 |