On the Order of Round Components in the AES

This paper analyses all 24 possible round constructions using different combinations of the four round components of the AES cipher: SubBytes, ShiftRows, AddRoundKey and MixColumns. We investigate how the different round orderings affect the security of AES against differential, linear, multiset, impossible differential and boomerang attacks. The cryptographic strenght of each cipher variant was measured by the size of each distinguisher, their probability or correlation value and the number of active S-boxes. Our analyses indicate that all these permutations of the AES components have similar cryptographic strength (concerning these five attacks), although there are implementation advantages for certain permutations.