Suppose C is the code over F2 = GF (2) generated by the generator matrix1 0 1 1 1 0 00 1 0 1 1 1 00 0 1 0 1 1 1(a) Find the generator polynomial.(b) Find the check polynomial.(c) Find the reciprocal polynomial(d) Find the parity check matrix for C associated to the check polynomial

Suppose C is the code over F2 = GF (2) generated by the generator matrix


1 0 1 1 1 0 0
0 1 0 1 1 1 0
0 0 1 0 1 1 1


(a) Find the generator polynomial.
(b) Find the check polynomial.
(c) Find the reciprocal polynomial
(d) Find the parity check matrix for C associated to the check polynomial