Algebra-assisted construction of quasi-cyclic LDPC codes for 5G new radio

H Li, B Bai, X Mu, J Zhang, H Xu - IEEE access, 2018 - ieeexplore.ieee.org
Quasi-cyclic LDPC (QC-LDPC) codes have been accepted as the standard codes of 5G
enhanced mobile broadband data channel. These standard codes are designed to support …

Efficient construction of quasi-cyclic LDPC codes with multiple lifting sizes

H Li, H Xu, C Chen, B Bai - IEEE Communications Letters, 2024 - ieeexplore.ieee.org
In this letter, we present an efficient method for constructing a family of quasi-cyclic low-
density parity-check (QC-LDPC) codes specified only by one single exponent matrix that can …

Construction of quasi-cyclic LDPC codes via masking with successive cycle elimination

H Xu, D Feng, R Luo, B Bai - IEEE Communications Letters, 2016 - ieeexplore.ieee.org
In this letter, we study the construction of quasi-cyclic (QC) low-density parity-check (LDPC)
codes by array dispersion and masking. We first propose a class of arrays of circulant …

Finite-length algebraic spatially-coupled quasi-cyclic LDPC codes

K Liu, M El-Khamy, J Lee - IEEE journal on selected areas in …, 2015 - ieeexplore.ieee.org
The replicate-and-mask (R&M) construction of finite-length spatially-coupled (SC) LDPC
codes is proposed in this paper. The proposed R&M construction generalizes the …

Matryoshka globally-coupled LDPC code

H Liu, Q Yu - IEEE Transactions on Communications, 2023 - ieeexplore.ieee.org
This paper proposes a new low-density parity-check (LDPC) code called Matryoshka
globally-coupled (MGC) LDPC code. We give the definition of-fold MGC-LDPC code which …

PEG-like design of binary QC-LDPC codes based on detecting and avoiding generating small cycles

X He, L Zhou, J Du - IEEE Transactions on Communications, 2017 - ieeexplore.ieee.org
In this paper, we propose a new multi-edge metric-constrained quasi-cyclic progressive
edge-growth algorithm (MM-QC-PEGA), which is suitable for constructing both single-and …

Construction of Quasi‐Cyclic LDPC Codes Based on Fundamental Theorem of Arithmetic

H Zhu, L Pu, H Xu, B Zhang - Wireless Communications and …, 2018 - Wiley Online Library
Quasi‐cyclic (QC) LDPC codes play an important role in 5G communications and have been
chosen as the standard codes for 5G enhanced mobile broadband (eMBB) data channel. In …

Time-invariant quasi-cyclic spatially coupled LDPC codes based on packings

M Zhang, Z Wang, Q Huang… - IEEE Transactions on …, 2016 - ieeexplore.ieee.org
This paper presents two packings derived from balanced incomplete block designs to
construct quasi-cyclic spatially coupled LDPC convolutional codes (SC-LDPC-CCs). The …

Superposition Construction of -Ary LDPC Codes by Jointly Optimizing Girth and Number of Shortest Cycles

H Xu, B Bai - IEEE Communications Letters, 2016 - ieeexplore.ieee.org
In this letter, we consider the construction of q-ary low-density parity-check (LDPC) codes by
jointly optimizing the girth and number of shortest cycles in the frame of superposition. We …

Recursive block Markov superposition transmission of short codes: Construction, analysis, and applications

S Zhao, X Ma, Q Huang, B Bai - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Extensive studies have demonstrated the effectiveness and the flexibility of constructing
capacity-approaching codes by block Markov superposition transmission (BMST). However …