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.
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