Question

$\text{A linear block code (LBC) has a minimum distance of}{d}_{\text{min}}.\text{If this LBC has to detect upto all 3-bit errors and simultaneously correct upto all 2-bit errors, then the minimum value of}{d}_{\text{min}}\text{should be\_\_\_\_.}$

• A. 6

Answer 1

The correct option is A 6
$\text{The condition to be satisfied to detect upto}"e_d"\text{bit errors and simultaneously correct upto}"e_c"\text{bit errors is,}$
$d_{\text{min}}\ge e_d+e_c+1$

$\text{For the given code,}{d}_{\text{min}}\ge (3+2+1=6)$