Question: Consider a binary (n, M, d)-code C. Show that there always exists a binary (n ? 1, M', d)-code such that M' ? M/2. (Hint:

Consider a binary (n, M, d)-code C. Show that there always exists a binary (n ? 1, M', d)-code such that M' ? M/2. (Hint: either at least half of the codewords starts with a zero, or at least half of the codewords starts with a one.)

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