Abstract: The disclosure generally relates to improvements of a log-likelihood ratios (LLRs) memory structure and memory capacity of a decoding hardware (also referred to as a decoder) in decoding a sequence of codewords encoded with a low-density parity-check (LDPC) code (e.g. a quasi-cyclic (QC) LDPC code). Further, the disclosure relates to the optimization of a processing schedule of a parity check matrix (PCM) describing the LDPC code so as to reduce or minimize the number of patch LLRs that need to be (simultaneously) stored in an LLR memory of a decoder.