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This code is extended by adding an overall parity check bit


The matrix

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is the generator matrix of a (6, 3) linear code. This code is extended by adding an overall parity check bit to each code word so that the Hamming weight of each resulting code word is even.

1. Find the parity check matrix of the extended code.

2. What is the minimum distance of the extended code?

3. Find the coding gain of the extended code.

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Basic Computer Science: This code is extended by adding an overall parity check bit
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