linear block code

The generator matrix of a (6,3) binary linear block code is given by G = [1 0 0 1 0 1; 0 1 0 0 1 1; 0 0 1 1 1 0]. The minimum Hamming distance d_min between codewords equals ______...

The generator matrix of a $(6,3)$ binary linear block code is given by $$ G=\left[\begin{array}{llllll} 1 & 0 & 0 & 1 & 0 & 1 \\ 0 & 1 & 0 & 0 & 1 & 1 \\ 0 & 0 & 1 & 1 & 1 & 0 \end...