Question: A Hamming C(6,3) linear code has the following error checking bits: b4 = b1 + 62 b5 = b1 + b3 b6 = b2

A Hamming C(6,3) linear code has the following error checking bits: b4

A Hamming C(6,3) linear code has the following error checking bits: b4 = b1 + 62 b5 = b1 + b3 b6 = b2 + b3 a) Find all codewords for this scheme. Assume codeword bits are organized as (b1-b2-b3-b4-b5-b6) (12 marks) b) What is the minimum distance of this code? (8 marks) c) Suppose the data bits (b1=1, b2-D0, b3-D1} are transmitted using a system implementing the above code. At the receiver side, the data is received with an error in data bit b2. Show how the system can detect and correct the error. (10 marks)

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