Consider the (15, 4) maximal-length code that is the dual

Consider the (15, 4) maximal-length code that is the dual of the (15, 11) Hamming code of problem. Do the following:
(a) Find the feedback connections of the encoder, and compare your results with those of Table 7.1 on maximal-length codes presented.
(b) Find the generator polynomial g(X); hence, determine the output sequence assuming the initial state 0001. Confirm the validity of your result by cycling the initial state through the encoder.