Consider a binary linear code C spanned by the rows of the matrix.
000110001
110001000
111011110
a. Find the parameters (length, dimension, and distance) of the code C.
b. Represent the code in a systematic form so that the message bits appear in the coordinates 2,3, and 5 of the codeword.
c. Find a parity-check matrix H of the code C.
d. Find the parameters of the code C spanned by the rows of H.