3.9 [203] Let a systematic (8,4) code have parity check equations CO = mi + m2 + m3 C1 = mo + mi + m2 C2 = mo + mi+m3 c3 = mo + m2 + m3. (a) Determine the generator matrix G in for this code in systematic form. Also determine the parity check matrix H. (b) Using Theorem 3.3, show that the minimum distance of this code is 4. (c) Determine A(z) for this code. Determine B(z). (d) Show that this is a self-dual code. 3.9 [203] Let a systematic (8,4) code have parity check equations CO = mi + m2 + m3 C1 = mo + mi + m2 C2 = mo + mi+m3 c3 = mo + m2 + m3. (a) Determine the generator matrix G in for this code in systematic form. Also determine the parity check matrix H. (b) Using Theorem 3.3, show that the minimum distance of this code is 4. (c) Determine A(z) for this code. Determine B(z). (d) Show that this is a self-dual code