1 Exercises 1. Intersection attacks Recall the correlation matrices from lectures for sharing partial informa- tion about a secret number. Below are the correlations tables for a number chosen (uniformly) at random out of 1-7. P Even 1 2 3 4 5 6 7 0 1 4567231 0 1 0 1 0 Odd 1 0 1 0 1 0 1 PT Even ^ 0 mod 3 0 0 0 0 ? ? ? T 1 2 ? ? 3 4 5 6 7 0 mod 3 0 0 1 0 0 1 0 Even A Odd A (0 mod 3) 0 mod 3 0 0 1 0 0 1 1 0 ? ? ? ? (0 mod 3) 1 1 0 1 ? ? ? 1 0 1 Odd A (0 mod 3) 1 0 0

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