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首页> 外文会议>8th International Conference on the Theory and Application of Cryptology and Information Security, Dec 1-5, 2002, Queenstown, New Zealand >On the Security of Rijndael-Like Structures against Differential and Linear Cryptanalysis
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On the Security of Rijndael-Like Structures against Differential and Linear Cryptanalysis

机译：Rijndael-like结构对微分和线性密码分析的安全性

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摘要

Rijndael-like structure is a special case of SPN structure. The linear transformation of Rijndael-like structures consists of linear transformations of two types, the one is byte permutation π and the other is linear transformation θ = (θ_1,θ_2,萠3,θ_4), where each of θi separately operates on each of the four columns of a state. Furthermore, π and θ have some interesting properties. In this paper, we present a new method for upper bounding the maximum differential probability and the maximum linear hull probability for Rijndael-like structures. By applying our method to Rijndael, we obtain that the maximum differential probability and the maximum linear hull probability for 4 rounds of Rijndael are bounded by 1.06 x 2~(-96).
机译：类Rijndael结构是SPN结构的特例。 Rijndael型结构的线性变换由两种类型的线性变换组成，一种是字节置换π，另一种是线性变换θ=（θ_1，θ_2，萠3，θ_4），其中每个θi分别对每个进行运算状态的四列中的一个。此外，π和θ具有一些有趣的特性。在本文中，我们提出了一种新的上限方法，适用于类Rijndael结构的最大微分概率和最大线性船体概率。通过将我们的方法应用于Rijndael，我们得到Rijndael的4轮最大差分概率和最大线性船体概率以1.06 x 2〜（-96）为界。

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