An Improved Impossible Differential Attack on MISTY1

MISTY1 is a Feistel block cipher that received a great deal of cryptographic attention. Its recursive structure, as well as the added FL layers, have been successful in thwarting various cryptanalytic techniques. The best known attacks on reduced variants of the cipher are on either a 4-round variant with the FL functions, or a 6-round variant without the FL functions (out of the 8 rounds of the cipher). In this paper we combine the generic impossible differential attack against 5-round Feistel ciphers with the dedicated Slicing attack to mount an attack on 5-round MISTY1 with all the FL functions with time complexity of 2 simple operations. We then extend the attack to 6round MISTY1 with the FL functions present, leading to the best known cryptanalytic result on the cipher. We also present an attack on 7-round MISTY1 without the FL layers.