{HEAD ~ A general methodology} is provided to obtain {TAIL ~ the multilevel decoders}, which is based on reducing failures due to trapping sets and improving the guaranteed error correction capability of a code 
is provided to obtain
{ HEAD ~ A general methodology } is provided to obtain { TAIL ~ the multilevel decoders } , which is based on reducing failures due to trapping sets and improving the guaranteed error correction capability of a code
HEAD HEAD HEAD HEAD HEAD HEAD HEAD REL REL REL REL TAIL TAIL TAIL TAIL TAIL TAIL TAIL OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH OTH