Systems and methods for error reduction associated with information transfer

A digital information system comprising:

• a first channel detector, wherein the first channel detector is operable to receive an encoded data set, and wherein the first channel detector is operable to provide a first hard output and a soft output representing the encoded data set;
• a single parity row decoder, wherein the single parity row decoder is operable to receive the first hard output and the soft output, wherein the single parity row decoder is operable to provide a second hard output, and wherein the second hard output is an error reduced representation of the encoded data set;
• a delay element, wherein the delay element is operable to receive the encoded data set and is operable to provide a time shifted encoded data set;
• and
• a second channel detector, wherein the second channel detector is operable to receive the second hard output unmodified coincident with a portion of the time shifted encoded data set, wherein the second channel detector is operable to provide a recovered output, and wherein the recovered output exhibits a reduction in errors compared with the encoded data set.