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Permutation polynomials with low differential uniformity over finite fields of odd characteristic |
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| Authors: | WenJie Jia XiangYong Zeng ChunLei Li Tor Helleseth Lei Hu |
| Affiliation: | 14599. Faculty of Mathematics and Computer Science, Hubei University, Wuhan, 430062, China 34599. State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, 100093, China 24599. Department of Informatics, University of Bergen, Bergen, N-5020, Norway |
| Abstract: | In this paper, we propose a construction of functions with low differential uniformity based on known perfect nonlinear functions over finite fields of odd characteristic. For an odd prime power q, it is proved that the proposed functions over the finite field $mathbb{F}_q$ are permutations if and only if q ≡ 3 (mod 4). |
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