New integral attacks on SIMON
Kai Fu, Ling Sun, Meiqin Wang · IET Information Security · 2016
SIMON is a family of lightweight block ciphers publicly released by National Security Agency (NSA). Up to now, there have been many cryptanalytic results on it by means of impossible differential, integral, zero‐correlation linear cryptanalysis and so forth. In this study, the authors analyse the characteristic of the Boolean functions of SIMON32 and find that the presentation of zero‐sum property is influenced by the degree of the corresponding Boolean function. As a result, the zero‐sum integral distinguisher for 14‐round SIMON32 is identified which is same to the one given by Wang et.al . Inspired by this finding, they also experimentally find the zero‐sum integral distinguisher for 16‐round SIMON48. Then, the integral attacks on 22‐round SIMON32, 22‐round SIMON48/72 and 23‐round SIMON48/96 are given. They improve the previous integral attack on SIMON32 from 21‐round to 22‐round, and the first integral attack on SIMON48 is proposed.