Let C' be a q-ary (n, M, 3)-code. Prove that the Hamming bound B =q/V(n, 1)...

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Let C' be a q-ary (n, M, 3)-code. Prove that the Hamming bound BВ₁ =q"/V₂(n, 1) is better (i.e., smaller) than the Singleton bound Bs = q-3+1 if and only if n>q+1. In other words, prove that B₁ <Bs ⇒n>q+1. Let C' be a q-ary (n, M, 3)-code. Prove that the Hamming bound BВ₁ =q"/V₂(n, 1) is better (i.e., smaller) than the Singleton bound Bs = q-3+1 if and only if n>q+1. In other words, prove that B₁ <Bs ⇒n>q+1.

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Answer i If a code has more than q plus one codeword it is recommende... View the full answer