Analysis and Construction of High Performance Multi-Edge typeLDPC Codes

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We considered in this research the multi-edge type irregular LDPC (Low-Density Parity-Check) codes, a very general class of LDPC codes, and obtained the following results. We first clarified a fundamental property that codeword weight distribution has so-called symmetry property which is preserved for the concatenation of base Tanner graphs. Using this fundamental property, we could systematically derive codeword weight distributions for multi-edge type LDPC code ensembles. We could then find several useful and high performance multi-edge type LDPC code ensembles.