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不可压双曲型液晶的Ericksen-Leslie方程的大Ericksen数的极限的形式分析
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作者 程峰 《数学物理学报(A辑)》 CSCD 北大核心 2021年第1期126-141,共16页
该文考虑了参数化的液晶的不可压双曲型的Ericksen-Leslie方程.形式上,让参数消失该文证明了这个极限方程存在一个局部的经典解.更进一步,该文形式上得出一个关于这个参数化的液晶的双曲型方程和极限方程的解的误差估计,这对应的是关于... 该文考虑了参数化的液晶的不可压双曲型的Ericksen-Leslie方程.形式上,让参数消失该文证明了这个极限方程存在一个局部的经典解.更进一步,该文形式上得出一个关于这个参数化的液晶的双曲型方程和极限方程的解的误差估计,这对应的是关于它们的经典解在L2空间中的一个形式上的能量估计. 展开更多
关键词 液晶 Ericksen-Leslie方程 大Ericksen数极限
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Differential-Linear Attacks on Ballet Block Cipher
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作者 ZHOU Yu CHEN Si-Wei +2 位作者 XU Sheng-Yuan XIANG Ze-Jun ZENG Xiang-Yong 《密码学报(中英文)》 2025年第2期469-488,共20页
Ballet is one of the finalists of the block cipher project in the 2019 National Cryptographic Algorithm Design Competition.This study aims to conduct a comprehensive security evaluation of Ballet from the perspective ... Ballet is one of the finalists of the block cipher project in the 2019 National Cryptographic Algorithm Design Competition.This study aims to conduct a comprehensive security evaluation of Ballet from the perspective of differential-linear(DL)cryptanalysis.Specifically,we present an automated search for the DL distinguishers of Ballet based on MILP/MIQCP.For the versions with block sizes of 128 and 256 bits,we obtain 16 and 22 rounds distinguishers with estimated correlations of 2^(-59.89)and 2^(-116.80),both of which are the publicly longest distinguishers.In addition,this study incorporates the complexity information of key-recovery attacks into the automated model,to search for the optimal key-recovery attack structures based on DL distinguishers.As a result,we mount the key-recovery attacks on 16-round Ballet-128/128,17-round Ballet-128/256,and 21-round Ballet-256/256.The data/time complexities for these attacks are 2^(108.36)/2^(120.36),2^(115.90)/2^(192),and 2^(227.62)/2^(240.67),respectively. 展开更多
关键词 Ballet block cipher differential-linear(DL)cryptanalysis MILP/MIQCP distinguisher key-recovery attacks
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