Aspire Faculty ID #12092 · Topic: CUET 2025 · Just now
CUET 2025

What should be the minimum hamming distance dmin to guarantee correction of upto p errors in a given block code.
1. 2p
2. 2p+1
3. 2p-1
4. $2^{p-2}$

Solution

We know the relationship between minimum Hamming distance \(d_{\min}\) and error correction capability \(p\):

\[ d_{\min} \;\geq\; 2p + 1 \]

This ensures the code can correct up to \(p\) errors.

✅ Correct answer:

\[ \boxed{2p+1} \]

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