Consider the following generator matrix: g= (1 0 0 0 1 0 0 0 1 1 1 1 1 0 1 1 1 0) find all the codewords generated by this generator matrix. determine the number of errors that this code will detect. determine the number of errors that this code will correct. prove that a linear code's minimum weight is equivalent to its minimum distance. that is, where c is a linear code, dist(c) = wh(c)