Abstract: A method of decoding a received systematic code encoded block corresponding to an original block of information, wherein the received systematic code encoded block may include soft systematic values, may include detecting an error condition in the received systematic code encoded block. The method may also include decoding the received systematic code encoded block for retrieving the original block of information if the error condition in the received systematic code encoded block is detected and processing the soft systematic values to retrieve the original block of information instead of the decoding if the error condition in the received systematic code encoded block is not detected.

Abstract: The method includes defining from all the check nodes at least one group of check nodes mutually connected through at least one second variable node defining an internal second variable node. The method includes performing for each group the joint updating of all the check nodes of the group via a Maximum-A-Posteriori (MAP) type process, and the updating of all the first variable nodes and all the second variable nodes connected to the group except the at least one internal second variable node. The method may include iteratively repeating the updates.

Abstract: A method of decoding a received systematic code encoded block corresponding to an original block of information, wherein the received systematic code encoded block may include soft systematic values, may include detecting an error condition in the received systematic code encoded block. The method may also include decoding the received systematic code encoded block for retrieving the original block of information if the error condition in the received systematic code encoded block is detected and processing the soft systematic values to retrieve the original block of information instead of the decoding if the error condition in the received systematic code encoded block is not detected.