How calculate check matrix?

To calculate a check matrix for a linear code, you need to first define the generator matrix ( G ) of the code. The check matrix ( H ) can then be derived from ( G ) by ensuring that the product ( H \cdot G^T = 0 ), where ( G^T ) is the transpose of ( G ). Typically, for a systematic code, ( H ) can be formed by including the identity matrix and the negative of the parity part of ( G ). The dimensions of ( H ) will be ( (n-k) \times n ), where ( n ) is the length of the codeWords and ( k ) is the dimension of the code.