A novel apparatus and method for encoding data using a low density parity check (LDPC) code capable of representation by a bipartite graph are provided. To encode the data, an accumulate chain of a plurality of low degree variable nodes may be generated. The accumulate chain may then be closed to form a loop twice, once using a low degree variable nodes and once using a higher degree variable which is higher than the low degree variable node, where the higher degree variable node comprises a non-loop-closing edge. In one embodiment, the plurality of low degree variable nodes may have the same permutation on each edge.