Projective aspects of the AES inversion

Wen-Ai Jackson; S. Murphy

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Projective aspects of the AES inversion

机译：AES反演的投影方面

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摘要

We consider the nonlinear function used in the Advanced Encryption Standard (AES). This nonlinear function is essentially inversion in the finite field GF(2~8), which is most naturally considered as a projective transformation. Such a viewpoint allows us to demonstrate certain properties of this AES nonlinear function. In particular, we make some comments about the group generated by such transformations, and we give a characterisation for the values in the AES Difference or XOR Table for the AES nonlinear function and comment on the geometry given by this XOR Table.

机译：我们考虑了高级加密标准（AES）中使用的非线性函数。该非线性函数本质上是有限域GF（2〜8）中的反演，这自然而然地被认为是投影变换。这样的观点使我们能够证明该AES非线性函数的某些性质。特别地，我们对由此类转换生成的组进行一些注释，并对AES非线性函数的AES差值或XOR表中的值进行表征，并对此XOR表给出的几何形状进行注释。

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来源
《Designs, Codes and Crytography》 |2007年第3期|167-179|共13页
作者
Wen-Ai Jackson; S. Murphy;
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作者单位

Department of Mathematics, University of Adelaide, Adelaide, SA 5005, Australia;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
block ciphers; advanced encryption standard; AES inversion; projective geometry; XOR table;

机译：分组密码先进的加密标准;AES反演射影几何异或表;

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专利

1. AES standards project report― Guidelines for AES standard for digital audio― Digital input-output interfacing― Transmission of digital audio over asynchronous transfer mode (ATM) networks, AES47 [J] . Journal of the Audio Engineering Society . 2003,第7a8期

机译：AES标准项目报告-数字音频AES标准准则-数字输入输出接口-通过异步传输模式（ATM）网络，AES47传输数字音频
2. Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers [J] . Joan Daemen Mario Lamberger Norbert Pramstaller Vincent Rijmen Frederik Vercauteren Computing. Archives for Informatics and Numerical Computation . 2009,第1a2期

机译：四轮AES和类似AES密码的预期微分概率的计算方面
3. Computational aspects of the expected differential probability of 4-round AES and AES-like ciphers [J] . Joan Daemen, Mario Lamberger, Norbert Pramstaller, Computing . 2009,第1a2期

机译：四轮AES和类似AES密码的预期微分概率的计算方面
4. Construction of a Low Multiplicative Complexity GF (2⁴) Inversion Circuit for Compact AES S-Box [C] . Jia Jun Tay, M. L. Dennis, Ming Ming Wong, IEEE Region 10 Conference . 2018

机译：紧凑型AES S-Box低乘法复杂度GF（2 ^{4 ）反相电路的构建}
5. Early-age concrete temperature and moisture relative to curing effectiveness and projected effects on selected aspects of slab behavior. [D] . Ye, Dan. 2007

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7. Projective aspects of the AES inversion [O] . Jackson, W., Murphy, S. 2007

机译：aEs反演的投射方面
8. Theoretical Aspects of AE (Acoustic Emission)-Graphy. [R] . Braginsky, A. P., Efimenko, S. P., Kurbatov, A. M., 1987

机译：aE（声发射）的理论方面 - 图形。

Projective aspects of the AES inversion

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