An apparatus having a memory and a controller is disclosed. The memory is configured to store a codeword. The controller is configured to (i) determine one or more least-reliable bit positions in a soft-decision version of the codeword in response to failing to decode a hard-decision version of the codeword, (ii) generate a trial codeword by selecting at random a respective value in one or more trial positions among the least-reliable bit positions in the hard-decision codeword and (iii) perform a hard-decision decoding of the trial codeword.