论文标题

carlitz等级的c差异的C-差异均匀性研究3

Investigations of c-Differential Uniformity of Permutations with Carlitz Rank 3

论文作者

Jeong, Jaeseong, Koo, Namhun, Kwon, Soonhak

论文摘要

最近提出了$ c $差异均匀性,以反映对某些差分攻击变体的阻力。找到低$ C $差异均匀性的功能吸引了许多研究人员的关注。对于甚至特征,众所周知,低carlitz等级的排列具有良好的加密参数,例如,低差异均匀性,高非线性等。在本文中,我们表明,Carlitz等级较低的排列具有低$ C $ c $ differential均匀性。我们还调查了$ c $ - 差异统一的详细排列统一性,详细列出了Carlitz排名3。

The $c$-differential uniformity is recently proposed to reflect resistance against some variants of differential attack. Finding functions with low $c$-differential uniformity is attracting attention from many researchers. For even characteristic, it is known that permutations of low Carlitz rank have good cryptographic parameters, for example, low differential uniformity, high nonlinearity, etc. In this paper we show that permutations with low Carlitz rank have low $c$-differential uniformity. We also investigate $c$-differential uniformity of permutations with Carlitz rank 3 in detail.

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