2) Let V be the above [16,11 d -3 Extended Hamming code. a) Using the above parity check matrix H, construct a maximal likelihood Error/Syndome table for V. b) Consider the following decoding procedure for V: i) If the syndrome is 0-0000, then assume no error has occurred. ii) If the overall parity check is 1, then assume that a single error has occurred, and use the remaining three bits of the syndrome to correct the error. iii) If the overall parity check symbol is 0, but at least one of the other syndrome bits fail, then assume that an undetectable error has occurred. Is this a best maximal likelihood decoding procedure? Explain why or why not. 2) Let V be the above [16,11 d -3 Extended Hamming code. a) Using the above parity check matrix H, construct a maximal likelihood Error/Syndome table for V. b) Consider the following decoding procedure for V: i) If the syndrome is 0-0000, then assume no error has occurred. ii) If the overall parity check is 1, then assume that a single error has occurred, and use the remaining three bits of the syndrome to correct the error. iii) If the overall parity check symbol is 0, but at least one of the other syndrome bits fail, then assume that an undetectable error has occurred. Is this a best maximal likelihood decoding procedure? Explain why or why not