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A new practical method for decoding Low-Density Parity Check (LDPC) codes is presented. The followed approach involves reformulating the parity check equations using nonlinear functions of a specific form, defined over ρ , where ρ denotes the check node degree. By constraining the inputs to these functions in the closed convex subset [0, 1] ρ ("box" set) of ρ , and also by exploiting their form, a multimodal objective function that entails the code constraints is formulated. The gradientdoi:10.1109/lcomm.2007.061780 fatcat:cpvxehhfvjhorodjz3c7dgjrdq