Question: (i) A code could be called self-dual if its dual is exactly the same as the original code. Can these exist? Are all linear codes

(i) A code could be called self-dual if its dual is exactly the same as the original code. Can these exist? Are all linear codes self-dual? Justify your answers, including examples as appropriate.

(ii) Can the dual matrix ever be just the zero codeword? Can it ever be the set of all codewords? Justify your answers.

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