NIELIT Scientist B 2020 November: 60

Question

To the detection of up to $5$ errors in all cases, the minimum Hamming distance in a block code must be ______________.

• A. $5$
• B. $6$
• C. $10$
• D. $8$

Answer 1

To guarantee the detection of up to $s$ errors in all cases, the minimum Hamming distance in a block code must be $d_{\text{min}} = s + 1.$

Here, $d_{\text{min}} = 5+1 = 6.$

So, the correct answer is $(B).$