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arXiv · 2512.02603

Semigroup action based on skew polynomial evaluation with applications to Cryptography

Daniel Camazón-Portela·Juan Antonio López-Ramos
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Abstract

Through this work we introduce an action of the skew polynomial ring $\mathbb{F}_{q}\left[X; \sigma, \delta\right]$ 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 $\mathcal{T}(X)\subset\mathbb{F}_{q}\left[X; \sigma, \delta\right]$ 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.

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Daniel Camazón-Portela, Juan Antonio López-Ramos. 2025-12-02. Semigroup action based on skew polynomial evaluation with applications to Cryptography. https://arxiv.org/abs/2512.02603

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