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4轮AES零相关线性壳的存在性
The Existence of Zero Linear Hulls for 4-Rounds of AES
【摘要】 高级加密标准AES存在4轮的零相关线性壳,这是一个大家都在引用的事实,但是文献中只给出了结论,没给出证明过程,有的文献中简单地说AES的线性分支数为5,因而存在4轮的零相关的线性壳.本文给出了AES4轮零相关线性壳存在性的完整证明,并解释线性分支数所起的作用.
【Abstract】 It is well known that there exists zero-correlation linear hull for 4 rounds of AES,yet no detailed proof can be found in the literature. Some papers mentioned that this result can be obtained by the fact that the linear branch number of AES’s MR function is 5. In this paper,we provide a detailed proof of the existence of zerocorrelation linear hull for 4 rounds of AES,also,we show the relationship between zero-correlation linear hull and the linear branch number of AES’s MR function.
【关键词】 AES;
线性壳;
零相关;
MDS码;
线性攻击;
【Key words】 AES; linear hull; zero-correlation; MDS code; linear attack;
【Key words】 AES; linear hull; zero-correlation; MDS code; linear attack;
【基金】 广州市属高校科技计划项目(1201420765);中国博士后科学基金(2015M582362);广东省自然基金(2015A030310174)
- 【文献出处】 安徽师范大学学报(自然科学版) ,Journal of Anhui Normal University(Natural Science) , 编辑部邮箱 ,2017年02期
- 【分类号】TN918.1
- 【下载频次】32