# Tag Info

For 1) you need to show that $S(X)$ is linear with respect to xor. We can define $S(X)$ as: $S(X) = (x_{7}, x_{0}, x_{1}, x_{2}, x_{3}, x_{4}, x_{5}, x_{6})$ And define $A \oplus B$ as: $A \oplus B = (a_0 \oplus b_0, a_1 \oplus b_1,a_2 \oplus b_2,a_3 \oplus b_3,a_4 \oplus b_4,a_5 \oplus b_5,a_6 \oplus b_6,a_7 \oplus b_7,)$ So we have: \$S(A \oplus B) = ...