Guo Jian-sheng①② Cui Jing-yi② Luo Wei③ Liu Yi-peng②
①(Science and Technology on Information Assurance Laboratory, Beijing 100072, China) ②(The PLA Information Engineering University, Zhengzhou 450001, China) ③(The PLA Unit 78179, Chengdu 611830, China)
The security of MD-64 block cipher under related-key rectangle attack is studied. Firstly, when the weight of input difference is 1, the differential properties of high order DDOs (Data Dependent Operations) and SPN structures are researched. By the differential properties of high order DDOs and the high probability differential of SPN structures, two related-key differentials are constructed. Secondly, a full round related-key rectangle distinguisher of MD-64 is constructed by connecting two related-key differentials. Thirdly, a related-key rectangle attack is proposed on MD-64, and 32 bits of the master key is recovered with 262 related-key chosen- plain-text, 291.6 encryptions of MD-64 block cipher, and a storage complexity of 266.6 Byte. The success rate of this attack is about 0.961. Analysis results show that MD-64 can not reach the design target under related-key rectangle attack.
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