Differential uniformity of the composition of two functions

Differential uniformity of the composition of two functions
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DOI:
10.1007/s12095-019-00382-6
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发表时间:
2019-08
期刊:
Cryptography and Communications
影响因子:
--
通讯作者:
Li Shuai;Lina Wang;Li Miao;Xianwei Zhou
Li Shuai;Lina Wang;Li Miao;Xianwei Zhou
中科院分区:
其他
文献类型:
--
作者:
Li Shuai;Lina Wang;Li Miao;Xianwei Zhou

文献摘要

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本文利用布尔矩阵理论研究了两个函数复合的微分一致性。基于我们的研究结果,我们可以构造新的差分4-一致置换。此外,我们还发现了一些关于偶数n ≥ 8的APN置换存在性的线索.
In this paper, we study the differential uniformity of the composition of two functions with the help of Boolean matrix theory. Based on the result of our research, we can construct new differentially 4-uniform permutations from known ones. In addition, we find some clues about the existence of APN permutations offor evenn≥ 8.