A $(6,3)$ linear block code is specified by the generator matrix $G$ as shown below.

$G=\left[\begin{array}{cccccc}0& 1& 1& 1& 0& 0\\ 1& 0& 1& 0& 1& 0\\ 1& 1& 0& 0& 0& 1\end{array}\right]$

$($i$)$ What is the minimum distance of the code?

$($ii$)$ What is the maximum number of errors this code can detect? What is the

maximum number of errors this code can correct?