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The performance of the generalized belief propagation algorithm for computingthe noiseless capacity and mutual information rates of finite-sizetwo-dimensional and three-dimensional run-length limited constraints isinvestigated. For each constraint, a method is proposed to choose the basicregions and to construct the region graph. Simulation results for the capacityof different constraints as a function of the size of the channel and mutualinformation rates of different constraints as a function of signal-to-noiseratio are reported. Convergence to the Shannon capacity is also discussed.

Generalized Belief Propagation for the Noiseless Capacity and Information Rates of Run-Length Limited Constraints