(1 point) Consider the linear code with generator matrix i 0 1 1 1 G= 1 0 0 0 1 1 0 1 0 0 0 1 and check matrix TO 1 1 0 1 1] H= 1 0 1 1 1 0 [1 0 1 0 0 1 (a) Make a syndrome table for this code. Error pattern: 000000 Error pattern: 100000 Error pattern: 010000 Error pattern: 001000 Error pattern: 000100 Error pattern: 000010 Error pattern: 000001 Syndrome: Syndrome: Syndrome: Syndrome Syndrome: Syndrome: Syndrome: (1) Decode the message 100010 101110 111100. For each code word, find the syndrome and the error pattern, then correct the error and decode. Code block: 100010 Syndrome: Error pattern: Corrected code block: Decoded message block: Code block: 101110 Syndrome: Error pattern: Corrected code block Decoded message block: Code block: 111100 Syndrome: Error pattern: Corrected code block: Decoded message block: (1 point) Consider the linear code with generator matrix i 0 1 1 1 G= 1 0 0 0 1 1 0 1 0 0 0 1 and check matrix TO 1 1 0 1 1] H= 1 0 1 1 1 0 [1 0 1 0 0 1 (a) Make a syndrome table for this code. Error pattern: 000000 Error pattern: 100000 Error pattern: 010000 Error pattern: 001000 Error pattern: 000100 Error pattern: 000010 Error pattern: 000001 Syndrome: Syndrome: Syndrome: Syndrome Syndrome: Syndrome: Syndrome: (1) Decode the message 100010 101110 111100. For each code word, find the syndrome and the error pattern, then correct the error and decode. Code block: 100010 Syndrome: Error pattern: Corrected code block: Decoded message block: Code block: 101110 Syndrome: Error pattern: Corrected code block Decoded message block: Code block: 111100 Syndrome: Error pattern: Corrected code block: Decoded message block