Let G = 10 11 (112) 0 1 1 be a generating matrix for a linear code Cover F3. Part 1. (10 points) Prove that C is self-dual and find d(C). Part 2. (10 points) Suppose we use C for information transmis- sion. Will a received vector with syndrome (1,2) be in the top or bottom part of the standard array? Prove your answer.