We give a further investigation of the range criterion and Low-to-High Rank
Generating Mode (LHRGM) introduced in \cite{Chen}, which can be used for the
classification of 2×M×N states under reversible local filtering
operations. By using of these techniques, we entirely classify the family of
2×4×4 states, which actually contains infinitely many kinds of
states. The classifications of true entanglement of 2×(M+3)×(2M+3)
and 2×(M+4)×(2M+4) systems are briefly listed respectively.Comment: 11 pages, revte