Improved Differential Characteristic Searching Methods

Jiageng Chen, A. Miyaji, Chunhua Su, J. Teh
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引用次数: 9

Abstract

The success probability of differential and linear cryptanalysis against block ciphers heavily depend on finding differential or linear paths with high statistical bias compared with uniform random distribution. For large number of rounds, it is not a trivial task to find such differential or linear paths. Matsui first investigated this problem and proposed a solution based on a branch and bound algorithm in 1994. Since then, the research on finding good concrete differential or linear path did not receive much attention. In this paper, we revisit the differential attack against several S-Box based block ciphers by carefully studying the differential characteristics. Inspired by Matsui's algorithm, we provide an improved solution with the aid of several searching strategies, which enable us to find by far the best differential characteristics for the two investigated ciphers (LBlock, TWINE) efficiently. Furthermore, we provide another way to evaluate the security of ciphers against differential attack by comparing the strength of the ciphers from differential characteristic's point of view, and we also investigate the accuracy when using the active S-Box to evaluate the security margin against differential attack, which is the common method adapted when new ciphers are designed.
改进的差分特征搜索方法
差分和线性密码分析对分组密码的成功概率很大程度上取决于找到与均匀随机分布相比具有高统计偏差的差分或线性路径。对于大量的回合,找到这样的微分或线性路径不是一件简单的任务。1994年,Matsui首先研究了这个问题,并提出了基于分支定界算法的解决方案。此后,寻找良好的混凝土微分或线性路径的研究并没有受到重视。在本文中,我们通过仔细研究差分特性,重新讨论了针对几种基于S-Box的分组密码的差分攻击。受Matsui算法的启发,我们利用几种搜索策略提供了一种改进的解决方案,使我们能够有效地找到迄今为止所研究的两个密码(LBlock, TWINE)的最佳差分特征。此外,我们从差分特性的角度出发,通过比较密码的强度,提出了另一种评估密码抗差分攻击安全性的方法,并研究了使用主动S-Box来评估抗差分攻击安全裕度的准确性,这是设计新密码时常用的方法。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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