Given the binary linear code C = {00000000, 01101111, 11011000, 11111101, 10010010, 00100101, 01001010, 10110111}. (a) Find two distinct generator matrices for C. (b) What is the dimension of C? (c) Show that the two matrices in (a) correspond to two distinct ways of encoding messages. (d) What are the three parameters n, k, and d for C?

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