A decoder for a communication system includes a channel detection module configured to receive initial estimates of respective code words, wherein the initial estimates of the respective code words correspond to a signal received via a communication channel, arrange the initial estimates of the respective code words into a plurality of groups, and generate probability information associated with selected data bits of the respective code words in the plurality of groups, wherein the probability information indicates probabilities of decoding decisions of the selected data bits. A computation module is configured to generate bit estimations for each of the selected data bits based on the probability information and feedback information. A decoding module is configured to selectively generate, the feedback information and an estimate signal corresponding to the respective code words.