This is cyclic encoding, And there is no message associated with the problem. a message polynomial is not necessary to find a, b or c

4.9 For the (15,11) binary Hamming code with generator g(x) = x4 +x+1: (a) Determine the parity check polynomial h(x). (b) Determine the generator matrix G and the parity check matrix H for this code in nonsys- tematic form. (c) Determine the generator matrix G and the parity check matrix H for this code in systematic form. 4.9 For the (15,11) binary Hamming code with generator g(x) = x4 +x+1: (a) Determine the parity check polynomial h(x). (b) Determine the generator matrix G and the parity check matrix H for this code in nonsys- tematic form. (c) Determine the generator matrix G and the parity check matrix H for this code in systematic form