Bounds on the differential uniformity of the Wan-Lidl polynomials

11/08/2022

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by   Li-An Chen, et al.

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