Transformed code

This week I run the program and tried to get a table of threshold. At the beginning, I run into a problem with the transformed generating matrix and parity matrix. As they both are generated using algorithms for general matrix, it turns out to be a problem with the binary message.  I would like to solve it by pojecting the matrix into F(2) field, but in mat lab it is problematic. So I just used Gussian elimination to get the generating matrix from parity matrix. From that, I proved that the parity matrix is full rank and there is a single unique translating matrix between the information bits and parity bits.