Topic: Communications
The minimum distance required for a linear block code to achieve a guaranteed correction of up to 5 errors is
- A. 6
- B. 5
- C. 11
- D. 10
Answer: C. 11
Explanation: To guarantee the correction of up to $t$ errors, the minimum Hamming distance $d_{min}$ of a linear block code must satisfy the condition $d_{min} \ge 2t + 1$.
For $t = 5$, $d_{min} \ge 2(5) + 1 = 11$.