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

Information Theory 2022-12-12 v1 math.IT

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 F2n\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.

Keywords

Cite

@article{arxiv.2212.04719,
  title  = {Several new infinite classes of 0-APN power functions over $\mathbb{F}_{2^n}$},
  author = {Yuying Man and Shizhu Tian and Nian Li and Xiangyong Zeng},
  journal= {arXiv preprint arXiv:2212.04719},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2210.02207, arXiv:2210.15103 by other authors