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(1 point) Finally, in this problem, you get to put together everything you have learmed Consider the Inear code C = {000000, 0001 1 1 , 01 1 01 1 . 01 1 100, 101010, 101 101, 1 10001 . 1 101 10) (a) What is the code length, message length, and Hamming distance of C Code length 6Message length3 Hamming distance 3 (b) Find a generator matx for C Answer G (c) Find a check matrix for C Answer: H0 (d) Using your generator matrix from part (b), encode the message 110 010 011 Encoded message: (e) Using your check matrix from part (e), make a syndrome table Error pattern: 000000 Syndrome 000 Error pattern: 100000 Syndrome 100 Error pattern: 010000 Syndrome 010 Error pattern: 001000 Syndrome:001 Error patterm: 000100 Syndrome: 011 Error pattern:000010 Syndrome: 101 Error pattern: 00000 Syndrome 110 Decode he message 101001 1001 10 000001 For each code word find te syndrome and the error pattern, then correct the emor and decode Code block: 101001 Syndrome Ermor patem Comected code block Decoded message block Code block: 100110 Syndrome Eror patem Cormected code block Decoded message block Code block: 000001 Syndrome Emor patem Comected code block Decoded message bleck