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It is shown that dominant trapping sets of regular LDPC codes, so calledabsorption sets, undergo a two-phased dynamic behavior in the iterativemessage-passing decoding algorithm. Using a linear dynamic model for theiteration behavior of these sets, it is shown that they undergo an initialgeometric growth phase which stabilizes in a final bit-flipping behavior wherethe algorithm reaches a fixed point. This analysis is shown to lead to veryaccurate numerical calculations of the error floor bit error rates down toerror rates that are inaccessible by simulation. The topology of the dominantabsorption sets of an example code, the IEEE 802.3an (2048,1723) regular LDPCcode, are identified and tabulated using topological relationships incombination with search algorithms.

On the Dynamics of the Error Floor Behavior in (Regular) LDPC Codes