In one embodiment, an LDPC decoder attempts to recover an originally-encoded LDPC codeword based on a set of channel soft-output values. If the decoder observes a trapping set, then the decoder compares the observed trapping set to known trapping sets stored in a trapping-set database to determine whether or not the observed trapping set is a known trapping set. If the observed trapping set is not known, then the decoder selects a most-dominant trapping set from the trapping-set database and identifies the locations of erroneous bit nodes in the selected trapping set. Then, the decoder adjusts the channel soft-output values corresponding to the identified erroneous bit nodes. Adjustment is performed by inverting some or all of the hard-decision bits of the corresponding channel soft-output values and setting the confidence value of each corresponding channel soft-output value to maximum. Decoding is then restarted using the adjusted channel soft-output values.