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SMS4 is released by the Chinese government as part of the WAPI standard for the wireless networks.At ICICS 2007 and CRYPTO 2015, Lu and Sun et al. constructed some 12-round impossible differentials and12-round zero correlation linear hulls, respectively. In this paper, it is proved that the distinguishers constructed by Lu and Sun et al. are independent with the details of the non-linear layers though they concentrated on the specific S-boxes. This indicates that for the structure deduced by SMS4, there always exist 12-round impossible differentials and 12-round zero correlation linear hulls.
SMS 4 is released by the Chinese government as part of the WAPI standard for the wireless networks. At ICICS 2007 and CRYPTO 2015, Lu and Sun et al. Constructed some 12-round impossible differentials and 12-round zero correlation linear hulls, respectively. paper, it is proved that the distinguishers constructed by Lu and Sun et al. are independent with the details of the non-linear layers though they concentrated on the specific S-boxes. This indicates that for the structure is deducted by SMS4, there always exists 12-round impossible differentials and 12-round zero correlation linear hulls.