Question: Where Q4 is: Math coding theory Let C be the binary linear code with parity-check matrix H=: | 0 1 1 1 0 1 0

Where Q4 is: Math coding theory Let C be the binary

Where Q4 is:

linear code with parity-check matrix H=: | 0 1 1 1 0

Math coding theory

Let C be the binary linear code with parity-check matrix H=: | 0 1 1 1 0 1 0 (note that C is nothing else but Ham(3, 2), the binary Hamming code of redun- dancy 3). Show that C is cyclic. (Hint: Start by showing that C is cyclic, and then use Q4)

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