Spherical and Hyperbolic Toric Topology-Based Codes On Graph Embedding for Ising MRF Models: Classical and Quantum Topology Machine Learning
V Usatyuk, S Egorov, D Sapozhnikov - arXiv preprint arXiv:2307.15778, 2023 - arxiv.org
The paper introduces the application of information geometry to describe the ground states
of Ising models. This is achieved by utilizing parity-check matrices of cyclic and quasi-cyclic …
of Ising models. This is achieved by utilizing parity-check matrices of cyclic and quasi-cyclic …
PEG-like design of binary QC-LDPC codes based on detecting and avoiding generating small cycles
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 …
edge-growth algorithm (MM-QC-PEGA), which is suitable for constructing both single-and …
Simulated annealing method for construction of high-girth QC-LDPC codes
V Usatyuk, I Vorobyev - 2018 41st International Conference on …, 2018 - ieeexplore.ieee.org
We present a simulated annealing method that construct high-girth quasi-cyclic low-density
parity check (QC-LDPC) codes. The proposed method is applicable to both regular and …
parity check (QC-LDPC) codes. The proposed method is applicable to both regular and …
High data rate and flexible hardware QC-LDPC decoder for satellite optical communications
Satellite optical communications are trendy for future satellite wireless communications and
introduce new challenges concerning throughput and error correction for the channel …
introduce new challenges concerning throughput and error correction for the channel …
On the construction of regular QC-LDPC codes with low error floor
A Sarıduman, AE Pusane… - IEEE Communications …, 2019 - ieeexplore.ieee.org
Quasi-cyclic low-density (QC-LDPC) codes benefit from efficient encoding hardware and
display excellent error correcting performance. Therefore, they have been accepted into the …
display excellent error correcting performance. Therefore, they have been accepted into the …
Rate-Compatible Length-Scalable Quasi-Cyclic Spatially-Coupled LDPC Codes
The capability of QC-SC-LDPC codes to be employed in broadcasting systems has been
studied in previous research. However, the implementation-oriented features such as rate …
studied in previous research. However, the implementation-oriented features such as rate …
A survey on trapping sets and stopping sets
A Price, J Hall - arXiv preprint arXiv:1705.05996, 2017 - arxiv.org
LDPC codes are used in many applications, however, their error correcting capabilities are
limited by the presence of stopping sets and trapping sets. Trapping sets and stopping sets …
limited by the presence of stopping sets and trapping sets. Trapping sets and stopping sets …
Lower Bounds of Regular QC-LDPC Codes and SES Generation Algorithm
A Kharin, A Dryakhlov, K Zavertkin… - IEEE …, 2022 - ieeexplore.ieee.org
In this letter we propose a new approach to generation of regular QC-LDPC codes with girth
up to 12. The aim of the proposed smart exhaustive search (SES) algorithm is to construct …
up to 12. The aim of the proposed smart exhaustive search (SES) algorithm is to construct …
[PDF][PDF] 基于基模图的码率兼容广义稀疏随机码及空天通信应用
章磊， 陈钊， 殷柳国 - 电子学报, 2024 - ejournal.org.cn
空天通信信道时变性强且包含复杂干扰, 而经典信道编码以高斯信道为假设设计,
其直接应用将带来通信资源效率低, 灵活性差, 传输可靠性难以保障等问题 …
其直接应用将带来通信资源效率低, 灵活性差, 传输可靠性难以保障等问题 …
Multi-layer progressive tree-structured edge growth algorithm for nested lifting design of 5G-NR-like LDPC codes
We proposed an algorithm called multi-layer progressive tree-structured edge growth, to
design rate-compatible length-scalable raptor-like quasi-cyclic LDPC codes with nested …
design rate-compatible length-scalable raptor-like quasi-cyclic LDPC codes with nested …