In template attack, it always surprises me that we could find out POIs using the pairwise differences between average traces, how could these POIs show up? Does there exist any theory predicting POIs would reveal in this way?
In CW305 ECC, we try to find out the points that make bit 1 and bit 0 differ from each other the most, to do so, we would use their respective average traces. Similar to 1., how could this work? Why would the differences between average traces reveal the distinctions between bit 1 and bit 0?