Assignment:
Consider the binary block code C = {000000, 111100, 101011, 010111}
a) Show that it is a linear code and find the information word length.
b) Find its generating and parity check matrices in systematic form.
c) How many errors can this code detect? How many errors can it correct with ML decoding over a memoryless symmetric channel? Decode the received word c˜ = [011110].