We present, in this paper, challenges and works in progress for a new communication integrity approach that is based on error detection codes and targets slow-dynamic critical embedded systems. The novelty of this approach lies in the fact that it takes profit of the fault tolerance criterion of slowdynamic systems. Thus, it does not focus on each exchanged message but rather on a set of messages (which number is being be set according to the safety requirement of the targeted system). This approach relies on a set of control functions whose error detection capabilities and coverage are complementary, which improves the resulting detection capability compared to the usual use of one unique control function.