3D密码的7轮子空间迹区分器

杨阳; 刘文豪; 曾光

doi:10.11999/JEIT211438

3D密码的7轮子空间迹区分器

doi: 10.11999/JEIT211438

信息工程大学密码工程学院郑州 450000

基金项目: 数学工程与先进计算国家重点实验室开放基金课题(2020A08)

详细信息

作者简介:
杨阳：女，副教授，研究方向为密码设计与分析

刘文豪：男，硕士生，研究方向为密码设计与分析

曾光：男，副教授，研究方向为密码设计与分析

通讯作者:
刘文豪　13605538396@163.com

中图分类号: TN918.1
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- 文章访问数: 402
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- 被引次数: 0
出版历程
- 收稿日期: 2021-12-06
- 修回日期: 2022-06-13
- 网络出版日期: 2022-06-30
- 刊出日期: 2023-02-07

7-round Subspace Trail Distinguisher of 3D Cipher

School of Cryptography Engineering, Information Engineering University, Zhengzhou 450000, China

Funds: The Open Fund Project of the State Key Laboratory of Mathematical Engineering and Advanced Computing (2020A08)

摘要

摘要: 子空间迹攻击是一种新型分组密码分析方法，该文对使用了类AES密码新结构的3D密码子空间性质进行研究。首先利用3D密码的3轮明确子空间迹，结合子空间的交集性质，首次构造出3D密码的7轮子空间迹不可能差分区分器，数据复杂度为$ {2^{193.1}} $个选择明文，时间复杂度为$ {2^{202.3}} $次查表操作，成功率为$ 60.6\% $；“n倍”性质指子空间的全部明文对经过一轮加密，差分属于同一子空间的密文对个数为n的倍数。利用该性质，构造了3D密码的7轮结构区分器，数据复杂度为$ {2^{128}} $个选择明文，时间复杂度为$ {2^{129.6}} $次查表操作，存储复杂度为$ {2^{128}} $ Byte，成功率大于$ 99.99\% $。
- 子空间迹 /
- 不可能差分 /
- 结构区分器 /
- 3D密码
Abstract: Subspace trail attack is a new analysis method for block ciphers. The properties of subspaces of 3D cipher which uses a new structure of AES-like ciphers is studied. First of all, a 3-round definite subspace trail of 3Dcipher is constructed in this paper, combined with the intersection property of subspaces, and the 7-round subspace trail impossible differential distinguisher of 3D cipher is obtained for the first time. Its data complexity is $ {2^{193.1}} $ chosen plaintexts, time complexity is $ {2^{202.3}} $ look-up operations, and the success rate is $ 60.6\% $. The multiple-of-n property means that all plaintext pairs in the subspace undergo a round of encryption, and the number of ciphertext pairs whose differences belong to a certain subspace is a multiple of n. Using this property, a 7-round structural distinguisher of 3D cipher is constructed. The data complexity is $ {2^{128}} $ chosen plaintexts, the time complexity is $ {2^{129.6}} $ look-up operations, the storage complexity is $ {2^{128}} $ Byte, and the success rate is greater than $ 99.99\% $.
- Subspace trail /
- Impossible difference /
- Structural distinguisher /
- 3D cipher

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参考文献(16)

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