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2轮Trivium的线性逼近研究
引用本文:欧智慧,赵亚群.2轮Trivium的线性逼近研究[J].计算机工程,2013(11):31-34,40.
作者姓名:欧智慧  赵亚群
作者单位:[1]信息工程大学四院,郑州450002 [2]信息工程大学数学工程与先进计算国家重点实验室,郑州450002
基金项目:国家自然科学基金资助项目(61072046)
摘    要:Triviurn是国际重要的序列密码,贾艳艳等人曾提出对2轮Trivium进行单线性和多线性密码攻击(电子与信息学报,2011年第1期)。针对其中的线性近似方程个数少和偏差小问题,提出通过改变第1轮Trivium所占的时钟数和线性逼近式的方法对2轮进行线性逼近,给出一个偏差为2书的线性符合和8个偏差为2。。的线性符合,并利用贾艳艳文中算法对2轮Trivium进行单线性和多线性密码攻击。研究结果表明,在相同攻击成功概率的前提下,所需的数据量均为上文中所需数据量的1/16,即需要选择初始化向量的个数分别为258和257。

关 键 词:序列密码  Trivium算法  密码分析  线性近似  线性攻击  偏差

Study on Linear Approximation of 2-round Trivium
OU Zhi-huia,ZHAO Ya-qun.Study on Linear Approximation of 2-round Trivium[J].Computer Engineering,2013(11):31-34,40.
Authors:OU Zhi-huia  ZHAO Ya-qun
Affiliation:a'b (a. The Fourth Institute; b. State Key Laboratory of Mathematical Engineering and Advanced Computing, Information Engineering University, Zhengzhou 450002, China)
Abstract:Trivium is an important international sequence cryptography. Jia Yan-yan(Joumal of Electronics & Information Technology, 2011, (6)) attacks 2-round Trivium by utilizing a simple and multiple linear cryptanalysis. In the light of few linear approximation and little deviation in their papers. This paper presents a method to conduct linear cryptanalysis of 2-round Trivium by changing clock number and linear approximations of the first round, and proposes a linear approximation with deviation 2-29 and 8 linear approximations with deviation 2-3~. Moreover, utilizing the algorithm of Jia Yan-yan paper attacks 2-round Trivium by simple and multiple linear cryptanalysis. Study result shows that, in order to identify a secret key given, the method can supply the success rate with 1/16 of data amount compared with the foregone data amount required, namely, the number of chosen Initial Vector(IV) are 258 and 257, respectively.
Keywords:sequence cryptography  Trivium algorithm  cryptanalysis  linear approximation  linear attack  deviation
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