On Almost Perfect Nonlinear Permutations
On Almost Perfect Nonlinear Permutations
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DOI：
10.1007/3-540-48285-7_7
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发表时间：
1994-01
期刊：
影响因子：
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通讯作者：
T. Beth;C. Ding
中科院分区：
文献类型：
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作者：
T. Beth;C. Ding
本文研究了APN置换的基本性质，APN置换可作为一个轮函数用于迭代密钥分组密码中，以防止差分密码分析。给出了GF（2）n中几类几乎完全非线性置换和其它非线性置换，它们具有良好的非线性和高的非线性阶数。这里还包括三种构造具有良好非线性的排列的方法。
In this paper basic properties of APN permutations, which can be used in an iterated secret-key block cipher as a round function to protect it from a differential cryptanalysis, are investigated. Several classes of almost perfect nonlinear permutations and other permutations inGF(2)nwith good nonlinearity and high nonlinear order are presented. Included here are also three methods for constructing permutations with good nonlinearity.