对八阵图算法的不可能差分密码分析和线性密码分析

卫宏儒; 朱一凡

doi:10.11999/JEIT221092

对八阵图算法的不可能差分密码分析和线性密码分析

doi: 10.11999/JEIT221092

卫宏儒,
朱一凡^,

北京科技大学数理学院北京 100083

基金项目: 国家自然科学基金( 61873026)，广东省重点领域研发计划(2020B0909020001)

详细信息

作者简介:
卫宏儒：男，教授，硕士生导师，研究方向为数学、信息安全与密码学和物联网技术

朱一凡：男，硕士生，研究方向为密码算法的安全性分析

通讯作者:
朱一凡　s20200738@xs.ustb.edu.cn

中图分类号: TN918.4; TP309.7
计量
- 文章访问数: 456
- HTML全文浏览量: 198
- PDF下载量: 83
- 被引次数: 0
出版历程
- 收稿日期: 2022-08-19
- 修回日期: 2022-12-05
- 网络出版日期: 2022-12-07
- 刊出日期: 2023-03-10

Impossible Differential Cryptanalysis and Linear Cryptanalysis for Eight-Sided Fortress Algorithm

WEI Hongru,
ZHU Yifan^,

School of Mathematics and Physics, University of Science and Technology, Beijing 100083, China

Funds: The National Natural Science Foundation of China(61873026), The Key-area Research and Development Program of Guangdong Province (2020B0909020001)

摘要

摘要: 该文对八阵图(ESF)算法抵抗不可能差分密码分析和线性密码分析的能力进行了研究。ESF算法是一种具有Feistel结构的轻量级分组密码算法，它的轮函数为代换置换(SP)结构。该文首先用新的不可能差分区分器分析了12轮ESF算法，随后用线性密码分析的方法分析了9轮ESF算法。计算得出12轮不可能差分分析的数据复杂度大约为O(2⁶⁷)，时间复杂度约为O(2^110.7)，而9轮线性密码分析的数据复杂度仅为O(2³⁵)，时间复杂度不大于O(2^15.6)。结果表明ESF算法足够抵抗不可能差分密码分析，而抵抗线性密码分析的能力相对较弱。
- 分组密码 /
- 轻量级 /
- 线性密码分析 /
- 不可能差分 /
- 八阵图
Abstract: The ability of Eight-Sided Fortress (ESF) algorithm to resist impossible differential cryptanalysis and linear cryptanalysis is studied in this paper. The ESF algorithm is a lightweight block cipher algorithm with Feistel structure, and its round function is Substitution-Permutation(SP) structure. Firstly, 12 rounds of ESF algorithm is analyzed in this paper by a new impossible differential distinguisher, and then 9 rounds of ESF algorithm is analyzed by linear cryptanalysis. It is calculated that the data complexity of 12 rounds of impossible differential analysis is about O(2⁶⁷), and the time complexity is about O(2^110.7), while the data complexity of 9 rounds of linear cryptanalysis is only O(2³⁵), and the time complexity is no more than O(2^15.6). The results show that ESF algorithm is able to resist impossible differential cryptanalysis, while its ability to resist linear cryptanalysis is relatively weak.
- Block cipher /
- Lightweight /
- Linear cryptanalysis /
- Impossible differential /
- Eight-Sided Fortress(ESF)

HTML全文

图 1 ESF加密轮函数

下载: 全尺寸图片幻灯片

图 2 ESF的8轮不可能差分路径

下载: 全尺寸图片幻灯片

图 3 ESF的12轮不可能差分路径

下载: 全尺寸图片幻灯片

表 1 ESF算法S盒剩余逼近优势分布统计

逼近优势 ${s_0}$ ${s_1}$ ${s_2}$ ${s_3}$ ${s_4}$ ${s_5}$ ${s_6}$ ${s_7}$

0.250 36 36 36 32 32 32 36 32
0.125 96 96 96 112 112 112 96 112

下载: 导出CSV

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