论文标题
WAN-LIDL多项式的差异均匀性的边界
Bounds on the differential uniformity of the Wan-Lidl polynomials
论文作者
论文摘要
我们研究WAN-LIDL多项式在有限场上的差异均匀性。建立了独立于田地的一般上限。在限制参数之一的设置中建立了其他界限。特别是，我们建立了一类排列多项式，这些置换多项式最多在5个字段上具有差异均匀性，而$ 3 \ bmod 4 $，而不论场尺寸如何。还给出了计算结果。
We study the differential uniformity of the Wan-Lidl polynomials over finite fields. A general upper bound, independent of the order of the field, is established. Additional bounds are established in settings where one of the parameters is restricted. In particular, we establish a class of permutation polynomials which have differential uniformity at most 5 over fields of order $3\bmod 4$, irrespective of the field size. Computational results are also given.
