Question: QUESTION 4 (4 x 5 = 20 POINTS) The generator matrix of a systematic linear block code is given below 1 0001101 01001011 00100111 00011110

QUESTION 4 (4 x 5 = 20 POINTS) The generator matrix of a systematic linear block code is given below 1 0001101 01001011 00100111 00011110 a) Determine the parity-check matrix for this code in the systematic form. b) What is the size of this code (i.e. n and x)? c) What is the dmin for this code? d) Using hard decision decoding. How many errors can this code correct? e) If the received sequence r = (1.12, 1.4, 5.6.19.7), find the syndrome of this code

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