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The generator matrix of a LBC is given by i) Find, the parity check matrix, channel coding efficiency, correction bits in term of information bits,

The generator matrix of a LBC is given by

GF 1 0 0 0 1 1 1 1 1 0 1 0 0 1 0 1 1 0 0 0 1 0 1 1 0 1 1 [0 0 0 1111 0 0

i) Find, the parity check matrix, channel coding efficiency, correction bits in term of information bits, and error correction capability.

ii) Correct the received code [R]=[010010010] and design a logic circuit for generation the syndrome vector.

1 0 0 0 1 1 1 1 1 1 0 1 1 0 0] 0 1 0 0 1 0 1 G= 0 0 10 1 1 0 Lo o 0 1 1 1 1

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