增加了输出差异的集合和SPN密码的新区分符
Rahul Girme1, Raghvendra Rohit2, Santanu Sarkar3
1Department of Mathematics, Indian Institute of Technology Madras, Chennai, 600036, India.
Scientific reports
|August 30, 2024
概括
研究人员开发了新的方法来识别替代换网络 (SPN) 密码的弱点,使用输出差异的增强向量空间. 这些新的区分器比以前的加密技术更有效,比如GIFT,PRESENT和SKINNY.
科学领域:
- 密码学和网络安全
- 抽象代数和编码理论
背景情况:
- 替代换网络 (SPN) 是一个基本的区块密码类别.
- 对于SPNs的现有加密分析方法,例如子空间轨迹,在区分密码行为方面存在局限性.
- 对于评估密码安全而言,需要强大而高效的区分器至关重要.
研究的目的:
- 为SPN密码引入新的通用和黑盒区分符.
- 开发一个有效的算法来计算这些区分器.
- 评估新区分器与已建立的加密原始码的有效性.
主要方法:
- 基于新型向量转换的输出差异增强向量空间的构造.
- 利用Reed-Muller代码来确定增强集的线性跨度的排名.
- 对跨越这些增强空间所需的矢量数的实验估计.
- 为SPNs计算增强向量空间开发和应用一个高效的算法.
主要成果:
- 证明了d级增强集合的线性跨度的等级是2^n - 2^(n-d).
- 实验分析为跨越增强空间的矢量要求提供了洞察力.
- 开发的算法有效地计算SPN密码的d级增强向量空间.
- 对于GIFT,PRESENT和SKINNY密码的新区分符涵盖了比子空间轨道更多的轮回.
结论:
- 输出差异的增强向量空间为SPN密码提供了强大的新区分器.
- 拟议的方法为加密分析提供了一种通用和高效的方法.
- 新的区分器表现出卓越的性能,扩展了对圆形减小轻量密码的分析.
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