International Association
for Cryptologic Research

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, we present a practical 4-sum

distinguisher against the compression function of SM3 reduced to 32

rounds. In addition, we point out a slide-rotational property of

SM3-XOR, which exists due to the fact that constants used in the rounds

are not independent.