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Short Regular Girth-8 QC-LDPC Codes from Exponent Matrices with Vertical Symmetry

International Symposium on Information Theory
To address the challenge of constructing short girth-8 quasi-cyclic (QC) low-density parity-check (LDPC) codes, a novel construction framework based on vertical symmetry (VS) is proposed. Basic properties of the VS structure are presented.
Guohua Zhang   +3 more
semanticscholar   +1 more source

Combinatorial optimization for improving QC LDPC codes performance

2013 IEEE International Symposium on Information Theory, 2013
Techniques for searching for good quasi-cyclic (QC) LDPC block codes of short and moderate lengths which are suitable for practical purposes are studied. To facilitate implementations only codes whose parity-check matrices having bidiagonal structure of their submatrices and consequently having low encoding complexity are considered.
Irina E. Bocharova   +2 more
openaire   +1 more source

Section-Wise Revolving NBP-Like Decoders for QC-LDPC Codes

International Symposium on Information Theory
Recently, deep learning has demonstrated improvements over classical decoding algorithms in various families of error-correcting codes with short to moderate block lengths.
Qinshan Zhang   +4 more
semanticscholar   +1 more source

Constructions of QC LDPC codes based on integer sequences

Science China Information Sciences, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lijun Zhang, Bing Li, Lee Lung Cheng
openaire   +1 more source

Block-MDS QC-LDPC Codes with Application to High-Dimensional Quantum Key Distribution

Information Theory Workshop
High-dimensional quantum key distribution (QKD) is a popular protocol that provides information theoretically secure keys to multiple parties. Two important steps of QKD are 1) the information reconciliation (IR) step, where parties reconcile mismatches ...
Lev Tauz   +5 more
semanticscholar   +1 more source

Dual-Diagonal QC-LDPC Codes Free of Small Cycles From GCD Framework via Negative Coefficients

IEEE Communications Letters
A novel class of dual-diagonal (DD) quasi-cyclic (QC) low-density parity-check (LDPC) codes with girth eight is proposed. For the exponent matrix of such a DD-QC-LDPC code, the left sub-matrix is explicitly generated via new formulae which are motivated ...
Guohua Zhang   +3 more
semanticscholar   +1 more source

Efficient BP-based Decoding Algorithms for QC-LDPC Codes

2021 10th Mediterranean Conference on Embedded Computing (MECO), 2021
In this paper we propose to use a self-correction technique with two computationally efficient LDPC decoding algorithms: QRCBP and adjusted min-sum. It is shown that using such a technique allows to improve performance of this algorithms both in error floor and waterfall regions.
Konstantin Zavertkin   +3 more
openaire   +1 more source

Modified CC-PEG Algorithm for Protograph-Based QC-LDPC Codes Over Non-Uniform Channel

IEEE Access
In this paper, we propose the modified cycle-concentrating progressive-edge-growth (CC-PEG) algorithm for lifting protograph-based quasi-cyclic low-density parity-check (QC-LDPC) codes over the non-uniform additive white Gaussian noise (AWGN) channel. By
Hyeonbeen Lee, Jaewha Kim
semanticscholar   +1 more source

Low power decoder design for QC-LDPC codes

Proceedings of 2010 IEEE International Symposium on Circuits and Systems, 2010
This paper presents a low-power decoder design approach for generic quasi-cyclic low-density parity-check (QC-LDPC) codes based on the layered min-sum decoding algorithm. To reduce the energy consumption, a novel message length-shortening scheme is explored.
Kai He   +3 more
openaire   +1 more source

Topology-Aware Sparse Factorization in Energy-Based Models: Tori QC-LDPC Codes and Circular Hyperboloid MET QC-LDPC Codes

2024 26th International Conference on Digital Signal Processing and its Applications (DSPA)
This study proposed the intersection of Information Theory and Applied Topology, focusing on Codes on Graphs, particularly low-density parity-check (LDPC) codes.
V. Usatyuk, Sergey I. Egorov
semanticscholar   +1 more source

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