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arXiv · 2212.04719

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

Yuying Man·Shizhu Tian·Nian Li·Xiangyong Zeng
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Abstract

The investigation of partially APN functions has attracted a lot of research interest recently. In this paper, we present several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^n}$ by using the multivariate method and resultant elimination, and show that these 0-APN power functions are CCZ-inequivalent to the known ones.

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Yuying Man, Shizhu Tian, Nian Li, Xiangyong Zeng. 2022-12-09. Several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^n}$. https://arxiv.org/abs/2212.04719

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