Extended Vandermonde Matrix: 1 0 0 0 1 1 1 1 1 2 4 8 1 3 5 15 1 4 16 64 1 5 17 85 0 0 0 1 Vandermonde Generator Matrix (G^T): 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 1 1 1 1 1 1 217 92 172 1 70 143 200 Vandermonde Coding Matrix: 1 1 1 1 1 217 92 172 1 70 143 200