A cyclic code is generated by g(x) - X**+ ***+ ***6 + x**4+1 a) Show that gtx) generates a (15,7) code. b) Show the generator matrix for the code a) Find the codeword corresponding to the information polynomial (3) 1 + ***2 + ***3 I ***6 d) Find the corresponding parity check polynomial h(x) e) Determine whether the received word polynomial -**3**4 + x**5+ ***12 is a codeword