The group generated by the round functions of a GOST-like cipher

Aragona R.; Caranti A.; Sala M.

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The group generated by the round functions of a GOST-like cipher

机译：由GOST-LICK密码的圆形功能生成的组

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摘要

We define a cipher that is an extension of GOST, and study the permutation group generated by its round functions. We show that, under minimal assumptions on the components of the cipher, this group is the alternating group on the plaintext space. This we do by first showing that the group is primitive, and then applying the O'Nan-Scott classification of primitive groups.

机译：我们定义了一个是GOST扩展的密码，并研究由其圆形函数生成的排列组。我们表明，在密码组件的最小假设下，该组是明文空间上的交替组。这首先表明该组是原始的，然后应用原始群体的O'Nan-Scott分类。

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《Annali di matematica pura ed applicata》 |2017年第1期|共17页
作者
Aragona R.; Caranti A.; Sala M.;
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作者单位

Univ Trento Dipartimento Matemat Via Sommar 14 I-38123 Trento Italy;

Univ Trento Dipartimento Matemat Via Sommar 14 I-38123 Trento Italy;

Univ Trento Dipartimento Matemat Via Sommar 14 I-38123 Trento Italy;

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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Cryptosystems; Feistel networks; GOST; round functions; primitive groups; wreath products;

机译：密码系统;FEISTEL网络;GOST;圆形功能;原始群体;花圈产品;

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专利

1. 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
2. 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
3. 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 Cryptography . 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上的应用
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. Improving the Round Complexity of Ideal-Cipher Constructions [D] . Thiruvengadam, Aishwarya. 2017

机译：提高理想密码结构的圆形复杂度
6. Transcriptome and DNA Methylation Profiles of Mouse Fetus and Placenta Generated by Round Spermatid Injection [O] . Haibo Zhu, Hao Sun, Dawei Yu, 2021

机译：通过圆形精子注射产生小鼠胎儿和胎盘的转录组和DNA甲基化谱
7. The group generated by the round functions of a GOST-like cipher [O] . Aragona, R., Caranti, A., Sala, M. 2015

机译：该组由类似GOsT的密码的循环函数生成

The group generated by the round functions of a GOST-like cipher

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