Error Correction Task --- IN JAVA

Can anyone help me with this

A. Design a new double error correction code for HEX numbers, BCH(16,12), using GF(17).

To save your calculation time, the 4x16 Vandermonde matrix is given here (in array format).

[ [1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],

[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16],

[1,4,9,16,8,2,15,13,13,15,2,8,16,9,4,1],

[1,8,10,13,6,12,3,2,15,14,5,11,4,7,9,16] ]

Derive the generator matrix from the Vandermonde matrix. Briefly explain the working steps.