Question: Let C be a code such that if u,v C, then u+v C. Prove that the distance of C is equal to the smallest weight

Let C be a code such that if u,v Let C be a code such that if u,v C, then u+v C, then u+v C. Prove that the distance of C is equal to the smallest C. Prove that the distance of C is equal to the smallest weight of a nonzero codeword.

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