Find a generator matrix and a parity-check matrix for the linear code generated by each of the following sets, and give the parameters [n, k, d] for each of these codes: (a) q = 2, S = {1000, 0110, 0010, 0001, 1001}, (b) q = 3, S = {110000, 011000, 001100, 000110, 000011}, (c) q= 2, S ={10101010, 11001100, 11110000,01100110,00111100}.
