The present inventions are related to systems and methods for data processing, and more particularly to systems and methods for performing data decoding. In one case a data processing system is disclosed that includes a decoder circuit operable to apply a low density parity check algorithm to a decoder input to yield an interim decoded output, where the decoder input is a codeword formed of two bit symbols, and where the decoder input is encoded to yield a last layer including at least two different entry values. In addition, the data processing system includes an inverse mapping circuit operable to remap the interim decoded output to yield an overall decoded output.