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Stochastic decoding is a new alternative approach for iterative decoding on graphs. The capability of stochastic decoding has been recently validated for decoding Low-Density Parity-Check (LDPC) codes. This article extends the application of the stochastic approach to decode linear block codes with highdensity Parity-Check Matrices (PCMs) such as Bose-Chaudhuri-Hocquenghem (BCH) codes, Reed-Solomon (RS) codes and, block turbo codes based on BCH component codes. We show how the stochasticdoi:10.1109/tsp.2008.929337 fatcat:i66ngf3obvdwbmu26vhxqspthy