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祖冲之序列密码的线性区分攻击分析

汤永利 韩娣 闫玺玺 叶青 李子臣

南京理工大学学报(自然科学版)2016,Vol.40Issue(4):450-454,5.
南京理工大学学报(自然科学版)2016,Vol.40Issue(4):450-454,5.DOI:10.14177/j.cnki.32-1397n.2016.40.04.012

祖冲之序列密码的线性区分攻击分析

Linear distinguishing attack analysis on ZUC stream cipher

汤永利 1韩娣 1闫玺玺 1叶青 1李子臣2

作者信息

  • 1. 河南理工大学 计算机科学与技术学院,河南 焦作454003
  • 2. 北京印刷学院 信息工程学院,北京102600
  • 折叠

摘要

Abstract

In order to probe into the security of the ZUC algorithm,linear distinguishing attack on the ZUC algorithm is proposed. In this paper, we first consider the linear approximation of 2-round nonlinear function F and get linear approximation equation,and the best advantage of the linear ap-proximation equation is 2-22. 6 . By combining those linear approximations,we establish a distinguisher only depending on the keystream. In order to get the best advantage of distinguisher,we search the best linear masking and the best advantage of the distinguisher is about 2-65. 5 . The result shows that the key stream generated by ZUC is distinguishable from a random sequence after observing approximately O(2131 ) bits,and it proves that the ZUC algorithm is safe. By comparison,the result of the linear distinguishing attack is superior to other attacks.

关键词

祖冲之算法/线性区分攻击/线性逼近/区分器/线性掩码

Key words

ZUC/linear distinguishing attack/linear approximation/distinguisher/linear masking

分类

信息技术与安全科学

引用本文复制引用

汤永利,韩娣,闫玺玺,叶青,李子臣..祖冲之序列密码的线性区分攻击分析[J].南京理工大学学报(自然科学版),2016,40(4):450-454,5.

基金项目

国家自然科学基金(61370188 ()

61300216) ()

河南省科技厅国际科技合作计划(152102410048) (152102410048)

河南省基础与前沿技术研究(142300410147) (142300410147)

河南省教育厅自然科学项目(12A520021) (12A520021)

河南理工大学博士基金(B2013-043 ()

B2014-044) ()

南京理工大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1005-9830

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