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Algebraic-differential attacks on a Family of Arithmetization-Oriented Symmetric Ciphers

Journal of Systems Science & Complexity 2023年第6期36卷 2681-2702页

作者： LI Zhengnan WU Baofeng LIN Dongdai Institute of Information Engineering Chinese Academy of SciencesBeijing100085China State Key Laboratory of Cryptology Beijing100878China School of Cyber Security University of Chinese Academy of SciencesBeijing100049China

Motivated by applications in advanced cryptographic protocols,research on arithmetizationoriented symmetric primitives has been rising in the field of symmetric cryptography in recent *** this paper,the authors focus on on the collision attacks for a family of arithmetization-oriented symmetric ciphers *** authors firstly enhance the algebraically controlled differential attacks proposed by introducing more ***,combining algebraic attacks and differential attacks,the authors propose algebraic-differential attacks on GMi *** attack method is shown to be effective by experiments on toy versions of GMi *** authors further introduce some tricks to reduce the complexities of algebraic-differential attacks and improve the success probability of finding collisions.

关键词： Algebraic attacks collisions differential attacks GMiMCHash Grobner basis

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Quantum differential Collision Distinguishing attacks on Feistel Schemes

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Chinese Journal of Electronics 2021年第6期30卷 1030-1037页

作者： ZHANG Zhongya WU Wenling WANG Bolin Trusted Computing and Information Assurance Laboratory Institute of Software Chinese Academy of Sciences University of Chinese Academy of Sciences Luoyang Normal University

Feistel schemes are important components of symmetric ciphers, which have been extensively studied in the classical setting. We examine the extension methods of differential distinguishers of Feistel key-function and Feistel function-key schemes. The schemes are subjected to quantum differential collision distinguishing attacks based on the methods. The results show that the complexity is lower than that of differential attacks using only Grover algorithm, and the complexity of differential collision attack based on the Brassard-H?yer-Tapp and Grover algorithms is lower than that of quantization when using only the Grover algorithm. The results also show that different algorithms and methods can be combined to produce a more effective cryptanalysis approach. This provides a research direction for postquantum cryptographic analysis and design.

关键词： Quantum cryptography Cryptography Cryptography theory Data security Quantum computing Block cipher Feistel scheme differential attacks Distinguishing attacks

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