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Rectangle Attack Against Type-I Generalized Feistel Structures

Chinese Journal of Electronics 2022年第4期31卷 713-720页

作者： ZHANG Yi LIU Guoqiang SHEN Xuan LI Chao College of Liberal Arts and Sciences National University of Defense Technology Hunan Engineering Research Center of Commercial Cryptography Theory and Technology Innovation State Key Laboratory of Information Security Institute of Information Engineering Chinese Academy of Sciences College of Information and Communication National University of Defense Technology

Type-I generalized Feistel networks(GFN) are widely used frameworks in symmetric-key primitive designs such as CAST-256 and Lesamnta. Different from the extensive studies focusing on specific block cipher instances, the analysis against Type-I GFN structures gives generic security evaluation of the basic frameworks and concentrates more on the effect of linear transformation. Currently, works in this field mainly evaluate the security against impossible differential attack,zero-correlation linear attack, meet-in-the-middle attack and yoyo game attack, while its security evaluation against rectangle attack is still missing. In this paper, we filled this gap and gave the first structural analytical results of Type-I GFN against rectangle attack. By exploiting its structural properties, we proved there exists a boomerang switch for Type-I GFN for the first time,which is independent of the round functions. Then we turned the boomerang switch into chosen plaintext setting and proposed a new rectangle attack model. By appending 1 more round in the beginning of the boomerang switch, we constructed a rectangle distinguisher and a key recovery attack could be performed.

关键词： meet-in-the-middle attack basic frameworks boomerang switch rectangle attack model specific block cipher instances GFN structures cryptography generic security evaluation Feistel networks Data security key recovery attack linear transformation Cryptography theory rectangle distinguisher yoyo game attack symmetric-key primitive designs zero-correlation linear attack differential attack structural properties structural analytical results Cryptography Feistel structures

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