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We investigate the relation between the girth and the guaranteed error correction capability of gamma-left regular LDPC codes when decoded using the bit flipping (serial and parallel) algorithms. A lower bound on the number of variable nodes which expand by a factor of at least 3gamma/4 is found based on the Moore bound. An upper bound on the guaranteed correction capability is established by studying the sizes of smallest possible trapping sets.
Date of Conference: 6-11 July 2008