Question: A code C is called a self - dual code if C = C . Prove that if C is a self - dual code,

A code C is called a self-dual code if C = C
. Prove that if C is a self-dual code, then
the code length must be even, and the code must have a rate equal to 1/2. Further, if
G is a generator matrix of C, show that GGT =0.

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