A generator matrix is provided to generate codewords from messages of write operations. Rather than generate a codeword using the entire generator matrix, some number of bits of the codeword are determined to be, or designated as, stuck bits. One or more submatrices of the generator matrix are determined based on the columns of the generator matrix that correspond to the stuck bits. The submatrices are used to generate the codeword from the message, and only the bits of the codeword that are not the stuck bits are written to a memory block. By designating one or more bits as stuck bits, the operating life of the bits is increased. Some of the submatrices of the generator matrix may be pre-computed for different stuck bit combinations. The pre-computed submatrices may be used to generate the codewords, thereby increasing the performance of write operations.