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.
翻译:最近,为了反映对不同攻击的某些变体的抵制,提出了美元差异统一办法,以反映出对不同攻击某些变体的抵制。发现功能的差别统一办法正在吸引许多研究人员的注意。甚至就特征而言,众所周知,低卡利茨等级的变异都有良好的加密参数,例如,差异统一办法、高非线性等。在本文中,我们表明,低卡利茨等级的变异办法是低卡利茨等级的差异办法。我们还详细调查了与3级卡利茨的差异做法的差异性统一办法。