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模2k加法的差分性质分析
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模2k加法的差分性质分析
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Journal Article
模2k加法的差分性质分析
2015
Overview
差分分析是一种常用的重要密码分析方法. 差分分析通常针对于分组加密算法, 但是对于流密码算法和哈希函数同样适用. 模2k加法运算是分组密码和流密码设计中常用到的基本运算, 在分组密码, 流密码算法和构造轻量级的认证协议中都有应用. 在实际的分析过程中, 为了得到特定差分对的出现概率, 需要对所有可能的差分对进行枚举计算. 当k的取值比较大时, 差分对的样本空间很大, 直接进行穷举计算是很困难的, 因此需要针对差分对具体结构进行分析, 找到一种快速的计算方法. 本文给出了模2k加法运算的差分概率分布及其统计特性. 对于固定的差分a, 本文给出了计算该差分发生概率的公式:当a作为一个随机变量时, 我们给出了其差分概率的期望, 并且得到了差分概率的方差. 当k增加时, 差分概率是关于k的一个可忽略不计的函数. 本文中的结论, 对于研究基于模2k加运算的密码算法和相关的认证协议的区分攻击是有帮助的.
Publisher
Chinese Association for Cryptologic Research, Journal of Cryptologic Research
