A ternary code (a code over the alphabet Zs) is given by C= {12111,00000, 21122, 01012, 20201) (a) Write down the information rate, (C), and the minimum distance, (C), of C. (b) A word from C is sent over a channel with channel matrix given by 0.8 0.15 0.05 P0.02 0.9 0.08 0.1 0.1 0.8 If the word 22222 is received, use both the maximum likelihood and minimum distance decoding rules to determine what codeword was sent