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arXiv · 2211.04527

Bounds on the differential uniformity of the Wan-Lidl polynomials

Li-An Chen·Robert S. Coulter
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Abstract

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.

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Li-An Chen, Robert S. Coulter. 2022-11-08. Bounds on the differential uniformity of the Wan-Lidl polynomials. https://arxiv.org/abs/2211.04527

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