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一般SPT模型的抗差分和线性攻击安全性研究
引用本文:刘凤梅,陈连俊,李春祥,李艳梅,张国双.一般SPT模型的抗差分和线性攻击安全性研究[J].通信学报,2012(1):120-127.
作者姓名:刘凤梅  陈连俊  李春祥  李艳梅  张国双
作者单位:信息保障技术重点实验室
摘    要:为安全高效地在序列密码设计中应用SP网络,研究了一般SPT模型的抗差分攻击和线性攻击的能力,其中,S和T表示2个不同的可实现压缩的混淆层,P代表扩散层。给出了P为最佳扩散层时SPT模型的最大差分概率上界,给出了P为最佳扩散层且S和T均平衡时的最大线性逼近优势和最大线性包优势的上界,从而部分解决了该模型的抗差分和线性攻击安全性评估问题。

关 键 词:分支数  差分概率  线性优势  线性逼近优势  线性包优势

Security against differential and linear cryptanalysis for general SPT models
LIU Feng-mei,CHEN Lian-jun,LI Chun-xiang,LI Yan-mei,ZHANG Guo-shuang.Security against differential and linear cryptanalysis for general SPT models[J].Journal on Communications,2012(1):120-127.
Authors:LIU Feng-mei  CHEN Lian-jun  LI Chun-xiang  LI Yan-mei  ZHANG Guo-shuang
Affiliation:(Science and Technology on Information Assurance Laboratory,Beijing 100072,China)
Abstract:To use SP network in stream ciphers safely and efficiently,the ability against differential and linear cryptana-lysis of SPT models was studied,where S and T denote two different layers for substitution,in which compression could be achieved,and P denotes the layer for permutation.The upper bound of the maximum differential probability was given when the branch number of P was optimal,and the upper bound of the maximum linear approximation probability and the maximum linear hull probability are given when the branch number of P was optimal and when S and T were balanced.As a consequence,the problem about evaluating the security against differential and linear cryptanalysis for general SPT models was resolved partially.
Keywords:branch number  differential probability  linear probability  linear approximation probability  linear hull prob-ability
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