Q3. Given a generator matrix for a code system, 000 11 1 1 10110011 10 10 101 the code word (c6 C5 C4 C3 2 C1 Co) is calculated by where (a2 a1 ao) is the data word. (1) Please find out the code generating rules for c6, C5, C4,C3, C2,c1 and co (rewrite the matrix multiplication in the form of equation (1) in Q2). How many parity bits are there in the code word? (2) What is the code distance of the code system given by the generator matrix? (3) Please design a parity check scheme according to the code generating rules and write down the parity check matrix for your parity check scheme. (Hint: Since the generator matrix is not in standard form, so H = [PI] cannot be directly used to obtain the parity check matrix.) (4) Is it an SEC code? If so, please indicate the erroneous bit and correct it if "1111010" is received