Several classes of 0-APN power functions over $\mathbb{F}_{2^n}$

Tao Fu; Haode Yan

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arXiv · 2210.15103

Several classes of 0-APN power functions over $\mathbb{F}_{2^n}$

Tao Fu·Haode Yan

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Abstract

Recently, the investigation of Partially APN functions has attracted a lot of attention. In this paper, with the help of resultant elimination and MAGMA, we propose several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^{n}}$. By the main result in [4], these $0$-APN power functions are CCZ-inequivalent to the known ones. Moreover, these infinite classes of 0-APN power functions can explain some exponents for $1\leq n\leq11$ which are not yet ``explained" in the tables of Budaghyan et al. [3].

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Tao Fu, Haode Yan. 2022-10-27. Several classes of 0-APN power functions over $\mathbb{F}_{2^n}$. https://arxiv.org/abs/2210.15103

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