For a (6,3) systematic linear block code, the three parity check digits are: P = 1 x h 0 1 x ½ Ð 1 × I3 P2 = 1 x 1 e 1 × ½ 0 × I3 P3 = 0 x 1 e 1 x ½ © 1 × I3 (a) Construct the generator matrix G for this code. (b) Construct all the possible codewords generated by this matrix. (c) Determine the error correcting capabilities for this code. [single] (d) Prepare a suitable decoding table. (e) Decode the received words 101100, 000110 and 101010. [111100, 100110, 101011]

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