Question: 4. Let C- (0,0,0), (1,1,1)) be a binary repetition code. (a) Find a parity check matrix for C. (b) List the cosets and coset leaders

4. Let C- (0,0,0), (1,1,1)) be a binary repetition code. (a)

4. Let C- (0,0,0), (1,1,1)) be a binary repetition code. (a) Find a parity check matrix for C. (b) List the cosets and coset leaders for (c) Find tie syndrome for each coset (d) Suppose you receive the message (1,1,0). Use the syndrome de- C. coding method to decode it. 4. Let C- (0,0,0), (1,1,1)) be a binary repetition code. (a) Find a parity check matrix for C. (b) List the cosets and coset leaders for (c) Find tie syndrome for each coset (d) Suppose you receive the message (1,1,0). Use the syndrome de- C. coding method to decode it

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