Several new infinite classes of 0-APN power functions over 𝔽_2^n

Yuying Man,Shizhu Tian,Nian Li,Xiangyong Zeng,Yanbin Zheng

Applicable Algebra in Engineering, Communication and Computing（2024）

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摘要

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 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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关键词

Power mapping,APN function,0-APN function,Resultant

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