Let C be a binary code with generator matrix

G = (1 1 1 0 0 0

1 1 0 1 0 1

0 1 1 1 1 0 )

(a) Determine the parameters of C.

(b) Encode the message (1, 1, 1).

(c) Decode the received word (1, 0, 1, 0, 0, 0). (

d) Determine the decoding error probability if the data is sent over a binary symmetric channel with bit error probability p = 0.01.