tut4 - look-up table(e Is the received vector 1 1 0 1 0 1 1...

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EE4212 Information and Coding Tutorial 4 1. A ( n , k ) Linear Block Code Consider a systematic linear block code whose generator matrix is = 1 0 0 0 1 1 1 0 1 0 0 0 1 1 0 0 1 0 1 0 1 0 0 0 1 1 1 0 G (a) What is n and k ? (b) Find all the possible code vectors of the code. (c) Find the parity-check matrix H of the code. (d) How many error patterns can the code identify? Assume that the choice of error patterns starts from single-bit error. Calculate the syndrome of each error pattern and then generate the error
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Unformatted text preview: look-up table. (e) Is the received vector 1 1 0 1 0 1 1 a valid code vector? If no, try to correct it. (f) What is the error-correcting capability of the code? (g) What is the error-detecting capability of the code? (h) Find the uncoded block error probability if the uncoded bit error probability is 1.1 x 10-5 . (i) Find the coded block error probability if the coded bit error probability is 5.2 x 10-4 ....
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