Question: Consider a binary code C with the following parity check matrix: H = 1 0 1 1 0 1 0 1 ( a ) Find

Consider a binary code C with the following parity check matrix: H = 1011 0101 (a) Find the generator matrix and the dimension of the code. (b) Obtain the codewords corresponding to all message vectors in F 2 2 . Obtain a dif- ferent parity check matrix for the code, which has I2(identity matrix of size 2x2) in columns 2,3. (c) Find dmin and rate of C.

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