Determine the minimum distance of the linear binary code, Other Engineering

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Determine the minimum distance of the linear binary code

Solve the following problem:

The generator matrix for a linear binary code is

439_linear binary code.jpg

a. Express G in systematic [I|P] form.

b. Determine the parity check matrix H for the code.

c. Construct the table of syndromes for the code.

d. Determine the minimum distance of the code.

e. Demonstrate that the codeword c corresponding to the information sequence 101 satisfies cHt = 0.

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