Wan-Lidl多项式微分一致性的界
Bounds on the differential uniformity of the Wan-Lidl polynomials
摘要：
研究了有限域上Wan-Lidl多项式的微分一致性。一个一般的上界，独立的领域的顺序，建立。在其中一个参数受到限制的设置中建立其他界限。特别地，我们建立了一类置换多项式的微分均匀性最多为5的领域的顺序$3\bmod 4$，无论字段的大小。文中还给出了计算结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
