Construct the array as follows.
The first row is the set of C code words, beginning in column 1 with the identity vector 0...0.
To form additional rows, choose an element v of V not listed so far. Among all the elements of the coset v + C, choose one of minimum weight, say v'.
Complete the next row of the table by placing under the column headed by the code word c the vector v' + c.
Continue this process until all vectors in V have been listed..