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SM3 is a hash function designed by Xiaoyun Wang et al., and published by the Chinese Commercial Cryptography Administration Office for the use of electronic authentication service system. The design of SM3 builds upon the design of the SHA-2 hash function, but introduces additional strengthening features. In this paper, using a higher order differential cryptanalysis approach, the authors present a practical 4-sum distinguisher against the compression function of SM3 reduced to 32 rounds. In addition, they point out a slide-rotational property of SM3-XOR, which exists due to the fact that constants used in the rounds are not independent.
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