  The Strict Avalanche Criterion (SAC) is a property of vectorial Boolean
functions that is used in the construction of strong S-boxes. We show in this
paper how to generalize the concept of SAC to address possible c-differential
attacks, in the realm of finite fields. We define the concepts of c-Strict
Avalanche Criterion (c-SAC) and c-Strict Avalanche Criterion of order m
(c-SAC(m)), and generalize results of (Li and Cusick, 2005). We also show
computationally how the new definition is not equivalent to the existing
concepts of c-bent1-ness (Stanica et al., 2020), nor (for n = m) PcN-ness
(Ellingsen et al., 2020)
