An application of the O’Nan-Scott theorem to the group generated by the round functions of an AES-like cipher

A. Caranti; Francesca Dalla Volta; M. Sala

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An application of the O’Nan-Scott theorem to the group generated by the round functions of an AES-like cipher

机译：O’Nan-Scott定理在类AES密码的舍入函数生成的组上的应用

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In a previous paper, we had proved that the permutation group generated by the round functions of an AES-like cipher is primitive. Here we apply the O’Nan Scott classification of primitive groups to prove that this group is the alternating group.

机译：在先前的论文中，我们证明了由类似AES的密码的轮函数生成的置换群是原始的。在这里，我们使用原始群的O'Nan Scott分类来证明该群是交替群。

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《Designs, Codes and Cryptography》 |2009年第3期|p.293-301|共9页
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A. Caranti; Francesca Dalla Volta; M. Sala;
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1. An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher [J] . A. Caranti, Francesca Dalla Volta, M. Sala Designs, Codes and Crytography . 2009,第3期

机译：O'Nan-Scott定理在类AES密码的舍入函数生成的组中的应用
2. The group generated by the round functions of a GOST-like cipher [J] . Aragona R., Caranti A., Sala M. Annali di matematica pura ed applicata . 2017,第1期

机译：由GOST-LICK密码的圆形功能生成的组
3. On the group generated by the round functions of translation based ciphers over arbitrary finite fields [J] . R. Aragona, A. Caranti, F. Dalla Volta, Finite fields and their applications . 2014,第jana期

机译：关于任意有限域上基于平移密码的舍入函数产生的群
4. An Algebraic Attack on Ciphers with Low-Degree Round Functions: Application to Full MiMC [C] . Maria Eichlseder, Lorenzo Grassi, Reinhard Lueftenegger, International Conference on the Theory and Application of Cryptology and Information Security . 2020

机译：对低度圆形功能的密码的代数攻击：适用于全部MIMC
5. The O'Nan-Scott Theorem for finite primitive permutation groups, and finite representability [D] . Fawcett, Joanna 2009

机译：有限基元置换群的O'Nan-Scott定理和有限表示性
6. Some Theorems in Finite Field Theory with Applications to Fermats Last Theorem [O] . H. S. Vandiver 1944

机译：有限场理论中的一些定理及其在费马最后定理中的应用
7. An application of the O'Nan-Scott theorem to the group generated by the round functions of an AES-like cipher [O] . Caranti, A., Volta, F. Dalla, Sala, M. 2009

机译：将O'Nan-scott定理应用于由...生成的群类似aEs的密码的圆函数
8. Composition Limit Theorems for Probability Generating Functions [R] . Church, J. D. 1967

机译：概率生成函数的组合极限定理

An application of the O’Nan-Scott theorem to the group generated by the round functions of an AES-like cipher

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