One of a plurality of candidate data symbols is selected. All possible values of the selected one candidate data symbol are grouped into two or more bit groups. A bit group is selected from the two or more bit groups. A local optimum candidate value from values in the selected bit group is determined for the selected one candidate data symbol for a given set of values corresponding to all of the plurality of candidate data symbols but the selected one candidate data symbol, the local optimum candidate value minimizing a distance value corresponding to a distance between the received data symbol vector and a channel matrix multiplied with the candidate vector, without calculating the distance value. A likelihood value is calculated for a bit in the selected one candidate data symbol based at least in part on the determined local optimum candidate value.