Permutation polynomials with low differential uniformity over finite fields of odd characteristic
Permutation polynomials with low differential uniformity over finite fields of odd characteristic
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DOI：
10.1007/s11425-013-4599-8
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发表时间：
2013-04
期刊：
影响因子：
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通讯作者：
Wenjie Jia;Xiangyong Zeng;Chunlei Li;T. Helleseth;Lei Hu
中科院分区：
文献类型：
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作者：
Wenjie Jia;Xiangyong Zeng;Chunlei Li;T. Helleseth;Lei Hu
本文利用奇特征有限域上的完全非线性函数，构造了一类低微分一致性函数。对于奇素数幂q，证明了有限域上的函数是置换的当且仅当q ≠ 3（mod 4）.
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 powerq, it is proved that the proposed functions over the finite fieldare permutations if and only ifq≡ 3 (mod 4).