International Association
for Cryptologic Research

The decorrelation theory provides a different point of view on the security of

block cipher primitives. Results on some statistical attacks obtained in

this context can support or provide new insight on the security of symmetric

cryptographic primitives.

In this paper, we study, for the first time, the

multidimensional linear attacks as well as the truncated differential

attacks in this context. We show that the cipher should be decorrelated of

order two to be resistant against some multidimensional linear and

truncated differential attacks. Previous results obtained with this theory

for linear, differential, differential-linear and boomerang attacks

are also resumed and improved in this paper.