I am studying about additive differential probability.

And I show a paper that is V.Velichkov et al., The Additive Differential Probability of ARX.

I have a question in chapter 5.2.

V.Velichkov et al. said that "In general, following the mapping in Table 2, an initial state $S[0]=j \in \{0,2,4,6\}$ will match final states $S[n-1]=j$ and $S[n-1]=j+1$.

I want to know why this is correct.



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