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About
President
Governance
Partner Institutions
Visit
People
Management
Faculty
Postdocs
Visiting Scholars
Staff
Research
Research Groups
Courses
Seminars
Join Us
Faculty
Postdocs
Students
Events
Conferences
Workshops
Forum
Life @ BIMSA
Accommodation
Transportation
Facilities
Tour
News
News
Announcement
Downloads
Qiuzhen College, Tsinghua University
Yau Mathematical Sciences Center, Tsinghua University (YMSC)
Tsinghua Sanya International  Mathematics Forum (TSIMF)
Shanghai Institute for Mathematics and  Interdisciplinary Sciences (SIMIS)
BIMSA > Cryptography and Its Applications 基于快速 Walsh 变换的线性攻击
基于快速 Walsh 变换的线性攻击
Organizer
Ying Jie Zhang
Speaker
Yin Lyu
Time
Monday, July 29, 2024 10:00 AM - 11:00 AM
Abstract
我们扩展了Flórez-Gutiérrez等人在欧密 2020中提出的基于快速Walsh变换的线性攻击算法。该算法主要适用于SPN结构,在该结构中,第一轮和最后一轮的轮密钥被定义为外部密钥,它们与明密文直接进行异或操作。然而,对于其他结构,如NLFSR结构,不能利用以前的算法直接推导出外部密钥。本文对该算法进行了扩展,使其适用于更复杂的结构,如NLFSR、Feistel、ARX和SPN等结构。我们也针对密文、明文和密钥信息位之间存在依赖关系的情况,提出了依赖关系利用策略,避免了冗余计算。基于新的算法和依赖关系利用策略,本文获得了SPARX(ARX结构)算法的最佳密钥恢复攻击结果。此外,我们还将KATAN32/48/64算法(NLFSR结构)的最佳线性攻击结果提高了9/4/14轮。
Beijing Institute of Mathematical Sciences and Applications
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