Given the generator matrix 1 0 BO O 1 O 1 O 1 0 O 0 1 00 1 (a) Find H the parity-check matrix (b) The received vector are r [1100010], [1110110], [1110011]. Calculate the syndrome. Find the error vectors and hence, identify the error bits. (c) Find the transmitted code vectors Syndrome Error 001 011 101 pattern 0010000 0000100 0000001 0 1

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