4-Cycle Free Spatially Coupled LDPC Codes with an Explicit Construction
Information Theory
2023-10-20 v1 math.IT
Abstract
Spatially coupled low-density parity-check (SC-LDPC) codes are a class of capacity approaching LDPC codes with low message recovery latency when a sliding window decoding is used. In this paper, we first present a new method for the construction of a class of SC-LDPC codes by the incidence matrices of a given non-negative integer matrix , and then the relationship of 4-cycles between matrix and the corresponding SC-LDPC code are investigated. Finally, by defining a new class of integer finite sequences, called {\it good sequences}, for the first time, we give an explicit method for the construction of a class of 4-cycle free SC-LDPC codes that can achieve (in most cases) the minimum coupling width.
Cite
@article{arxiv.2310.12657,
title = {4-Cycle Free Spatially Coupled LDPC Codes with an Explicit Construction},
author = {Zeinab Roostaie and Mohammad Gholami and Farzad Parvaresh},
journal= {arXiv preprint arXiv:2310.12657},
year = {2023}
}