5. Continuing with the same (5,2) linear binary code in problem 2, there are k-2 information bits and n-k=3 parity bits. The standard array has size 2-k 23 8 rows a. Construct the standard array, listing the five error patterns of weight Tas the first b. Once the standard array is constructed (with all 2 32 possible received 5- C. If the received 5-tuple is r = (1,1,1,1,1), use the syndrome decoding method to d. Suppose the codeword (0,1,1,0,1 ) is sent, and the error pattern e = (1,0,1,0,0) e. Suppose the codeword (0,1,1,0,1) is sent, and the error pattern e = (1,0,1,0,1) by 2-22-4 columns. entries in rows 2 through six. Then, select two additional error patterns as the first entries in the final two rows. tuples appearing exactly once in the array), compute and list the syndrome corresponding to each row of the array determine the decoded codeword and decoded information bits. occurs. What is the syndrome and what is the decoded codeword? occurs. What is the syndrome and what is the decoded codeword? 5. Continuing with the same (5,2) linear binary code in problem 2, there are k-2 information bits and n-k=3 parity bits. The standard array has size 2-k 23 8 rows a. Construct the standard array, listing the five error patterns of weight Tas the first b. Once the standard array is constructed (with all 2 32 possible received 5- C. If the received 5-tuple is r = (1,1,1,1,1), use the syndrome decoding method to d. Suppose the codeword (0,1,1,0,1 ) is sent, and the error pattern e = (1,0,1,0,0) e. Suppose the codeword (0,1,1,0,1) is sent, and the error pattern e = (1,0,1,0,1) by 2-22-4 columns. entries in rows 2 through six. Then, select two additional error patterns as the first entries in the final two rows. tuples appearing exactly once in the array), compute and list the syndrome corresponding to each row of the array determine the decoded codeword and decoded information bits. occurs. What is the syndrome and what is the decoded codeword? occurs. What is the syndrome and what is the decoded codeword