Year: 2025
Type: preprint
Abstract: We construct four new classes of permutation trinomials over the cubic extension of a finite field with even characteristic. Additionally, we explicitly provide the compositional inverse of each class of permutation trinomials in polynomial form. Furthermore, we derive the compositional inverse of the permutation trinomial $αX^{q(q^2 - q + 1)} + βX^{q^2 - q + 1} + 2X$ for $α= 1$ and $β= 1$, originally proposed by Xie, Li, Xu, Zeng, and Tang (2023).
Source: arXiv (Cornell University)
Authors: Hasan, Sartaj Ul, Kaur, Ramandeep, Kumar, Hridesh
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415030334
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