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Explicit Constructions of Girth-Eight QC-LDPC Codes: A Unified Framework Motivated by TDGS

Information Theory Workshop
A new search method named two-dimensional greedy search (TDGS) is proposed to progressively determine each element within an exponent matrix, so as to generate quasi-cyclic (QC) low-density parity-check (LDPC) codes without 4-cycles and 6-cycles.
Guohua Zhang   +3 more
semanticscholar   +1 more source

A GenAlg Optimization of Length-Scalable QC-LDPC Codes

2021 7th International Conference on Computer and Communications (ICCC), 2021
In this paper, we propose an optimization scheme of quasi-cyclic low-density parity-check (QC-LDPC) codes based on an evolutionary algorithm, the Genetic Algorithm (GenAlg).
Yun Liu, Ming Jiang, Yidi Zhang
semanticscholar   +1 more source

Efficient Search of Girth-Optimal QC-LDPC Codes

IEEE Transactions on Information Theory, 2016
In this paper, we study the cycle structure of quasi-cyclic (QC) low-density parity-check (LDPC) codes with the goal of obtaining the shortest code with a given degree distribution and girth. We focus on QC-LDPC codes, whose Tanner graphs are cyclic liftings of fully connected base graphs of size $3 \times n, n \geq 4$ , and obtain minimal lifting
Alireza Tasdighi   +2 more
openaire   +1 more source

Construction of Algebraic-Based Variable-Rate QC-LDPC Codes

International Symposium on Information Theory, 2021
In this paper, we concentrate on one algebraic-based quasi-cyclic low-density parity-check (QC-LDPC) code constructed from two subsets of a finite field and generalize it to propose a class of variable-rate QC-LDPC (VR-QC-LDPC) codes, whose parity-check ...
Huaan Li, B. Bai, Hengzhou Xu, Chao Chen
semanticscholar   +1 more source

Balanced Incomplete Block Designs, Partial Geometries, and Their Associated QC-LDPC Codes

International Symposium on Turbo Codes and Iterative Information Processing, 2021
This paper presents two classes of partial geometries (PaGs) derived from balanced incomplete block designs (BIBDs) of a special type. Based on these two classes of partial geometries, quasi-cyclic (QC) LDPC codes can be constructed. These codes not only
Juane Li   +3 more
semanticscholar   +1 more source

Efficient encoding of QC-LDPC codes related to cyclic MDS codes

IEEE Journal on Selected Areas in Communications, 2008
In this paper, we present an efficient systematic encoding algorithm for quasi-cyclic (QC) low-density parity check (LDPC) codes that are related to cyclic maximum-distance separable (MDS) codes. The algorithm offers linear time complexity, and it can be easily implemented by using polynomial multiplication and division circuits.
Norifumi Kamiya, Eisaku Sasaki
openaire   +1 more source

Low-Latency High-Throughput Decoder of QC-LDPC Codes by Matrix Splitting

International Conference on Wireless Communications and Signal Processing
As the continuously increasing demand of high data rate and lower transmission, many modern communication systems employ the LDPC coding scheme with ultra-high throughput decoder to achieve these challenging requirements.
Xinyu Zhong   +3 more
semanticscholar   +1 more source

Construction of high-rate QC-LDPC codes

The 2011 International Conference on Advanced Technologies for Communications (ATC 2011), 2011
In this paper, we construct high-rate quasi-cyclic low-density parity-check (QC-LDPC) codes with girth-10 based on shortened array codes. First, we derive analytic results on the maximum number of columns for shortened array codes of different girths. A code construction method inspired by the analysis is proposed for column-weight-three codes and is ...
null Xu Chen, Francis C.M. Lau
openaire   +1 more source

Layered TPMP Decoding for QC-LDPC Codes

Applied Mechanics and Materials, 2012
This paper presents a layered two-phase message passing (L-TPMP) decoding algorithm for general quasi-cyclic low-density parity-check (QC-LDPC) codes, which not only achieves high hardware utilization efficiency (HUE), but also brings in great memory block reduction.
Ling Zhao, Yi Hou, Rong Ke Liu
openaire   +1 more source

Efficient Decoder Implementation for QC-LDPC Codes

2006 International Conference on Communications, Circuits and Systems, 2006
Channel coding is an important building block in communication systems. Low-density parity-check codes is one kind of prominent error correcting codes being considered in next generation industry standards. This paper presents a memory efficient, very high speed decoder architecture suited for quasi-cyclic low-density parity-check codes using modified ...
Jin Sha   +4 more
openaire   +1 more source

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