Question: Prove that a binary n , M - code C of distance d = 2 t + 1 exists if and only if a binary

Prove that a binary n,M-code C of distance d=2t+1 exists if and only if a binary
n+1,M-code C' of distance d'=2t+2 exists.
Prove that a binary n , M - code C of distance d

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