Wan-Lidl多项式微分均匀性的界

Cryptography and Communications Pub Date : 2023-03-18 DOI:10.1007/s12095-023-00634-6

Li-An Chen, Robert S. Coulter

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引用次数: 0

摘要

研究了有限域上Wan-Lidl多项式的微分均匀性。建立了一个与场阶无关的一般上界。在其中一个参数受到限制的设置中建立附加界限。特别地，我们建立了一类与域大小无关，在3阶mod 4的域上微分均匀性最多为5的置换多项式。并给出了计算结果。

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Bounds on the differential uniformity of the Wan-Lidl polynomials

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 mod 4, irrespective of the field size. Computational results are also given.

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Cryptography and Communications

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