Bounds on the differential uniformity of the Wan-Lidl polynomials
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2022
- DOI:
- 10.48550/arXiv.2211.04527
- arXiv:
- arXiv:2211.04527
- Bibcode:
- 2022arXiv221104527C
- Keywords:
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- Mathematics - Number Theory;
- Computer Science - Information Theory;
- 11T06;
- 11T71;
- 12E10;
- 12E20