Transformation of a parity-check matrix for a message-passing algorithm over the BEC
We propose transformation of a parity-check matrix of any low-density parity-check code. A code with transformed parity-check matrix is an equivalent of a code with the original parity-check matrix. For the binary erasure channel, performance of a message-passing algorithm with a transformed parity-check matrix is better than that with the original matrix.
low-density parity-check code binary erasure channel sum-product algorithm generalized parity-check matrix