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arXiv · 2410.17668

Algebraic Structure of Permutational Polynomials over $\mathbb{F}_{q^n}$

Pingzhi Yuan
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Abstract

In this paper, we propose a new algebraic structure of permutation polynomials over $\mathbb{F}_{q^n}$. As an application of this new algebraic structure, we give some classes of new PPs over $\mathbb{F}_{q^n}$ and answer an open problem in Charpin and Kyureghyan.

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Pingzhi Yuan. 2024-10-23. Algebraic Structure of Permutational Polynomials over $\mathbb{F}_{q^n}$. https://arxiv.org/abs/2410.17668

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