Abstract:
A method, apparatus, and non-transitory computer-readable recording medium for generating an algebraic Spatially-Coupled Low-Density Parity-Check (SC LDPC) code are provided. The method includes selecting an LDPC block code over a finite field GF(q) with a girth of at least 6; constructing a parity-check matrix H from the selected LDPC block code; replicating H a user-definable number of times to form a two-dimensional array Hrep; constructing a masking matrix W with a user-definable spatially-coupled pattern; and masking a sub-matrix of Hrep using W to obtain a spatially-coupled parity-check matrix HSC, wherein a null space of HSC is the algebraic SC LDPC code.