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Engineering · Electrical Engineering
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4. Block codes a) Consider a binary repetition code of length n-3 i)How many errors in a transmitted codeword can be corrected? B marks] ii) How many errors in a transmitted codeword can be detected? B marks] b) Suppose that a generator matrix G is given by 1 0 0 1 G 0 1 0 1 0 0 11 1) What is the code rate of this code? B marks] ii) If the message sequence is m-l 0 1], what is the corresponding codeword? B marks] 6 marks] iii) What is the minimum distance of this code? c) Suppose that a generator matrix G is given by A codeword is transmitted over a noisy channel and the received signal is given by r =e+e=[l 0 1 1 1 0 0] Verify whether or not there is any error(s) in the received signal. 7marks]

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