In various embodiments, an iterative decoder may compute, from sign bits of log likelihood ratios associated with x bits of a plurality of bits of encoded data, a first combination of the x bits having a higher associated log density ratio than any other combination of the x bits. In various embodiments, the iterative decoder may further be configured to compute m combinations of the x bits having m highest associated log density ratios, based on reductions in log density ratios associated with one or more sub-combinations of the x bits and the computed first combination of the x bits. In various embodiments, a variable node associated with the iterative decoder may be updated with the m combinations of the x bits.