A read module reads memory cells along a first word line by applying a plurality of threshold voltages to the first word line; generates first information about a first memory cell located along the first word line and a first bit line indicating a location of a threshold voltage distribution of the first memory cell relative to the plurality of threshold voltages; reads a second memory cell located along the first word line, a second word line near the first word line, or a second bit line near the first bit line; and generates second information about the second memory cell indicating a state of the second memory cell causing interference to the first memory cell. A compensation module compensates for the interference by assigning one or more of a log-likelihood ratio and a hard decision to the first memory cells based on the first information and the second information.