Results 11 to 20 of about 45,029 (227)

An improved method for counting 6-cycles in low-density parity-check codes [PDF]

open access: yesSerbian Journal of Electrical Engineering, 2023
Since their rediscovery in the early 1990s, low-density parity-check (LDPC) codes have become the most popular error-correcting codes owing to their excellent performance. An LDPC code is a linear block code that has a sparse parity-check matrix.
Slimani Djamel, Kaddai Abdellah
doaj   +1 more source

Quantum LDPC Codes Based on Cocyclic Block Matrices

open access: yesEntropy, 2023
Motivated by a family of binary cocyclic block matrices over GF(2), we proposed a construction method to gain the stabilizer of long-length quantum error-correction codes (QECCs).
Yuan Li, Ying Guo
doaj   +1 more source

On the Construction of Multitype Quasi-Cyclic Low-Density Parity-Check Codes With Different Girth and Length

open access: yesIEEE Access, 2021
Multitype quasi-cyclic (QC) low-density parity-check (LDPC) codes are a class of protograph LDPC codes lifted cyclically from protographs with multiple edges, represented by two weight and slope matrices.
Farzaneh Abedi, Mohammad Gholami
doaj   +1 more source

Low-Floor Tanner Codes via Hamming-Node or RSCC-Node Doping [PDF]

open access: yes, 2006
We study the design of structured Tanner codes with low error-rate floors on the AWGN channel. The design technique involves the “doping” of standard LDPC (proto-)graphs, by which we mean Hamming or recursive systematic convolutional (RSC) code ...
Abu-Surra, Shadi   +2 more
core   +1 more source

High-Throughput Multi-Frame Decoding of QC-LDPC Codes With Modified Rejection-Based Minimum Finding

open access: yesIEEE Access, 2022
The key computation in the min-sum decoding algorithm of a Low-Density Parity-Check (LDPC) is finding the first two minima and also the location of the first minimum among a set of messages passed from Variable Nodes (VNs) to Check Nodes (CNs) in a ...
Alireza Hasani   +3 more
doaj   +1 more source

Generalized Belief Propagation to break trapping sets in LDPC codes [PDF]

open access: yes, 2014
6 pagesInternational audienceIn this paper, we focus on the Generalized Belief Propagation (GBP) algorithm to solve trapping sets in Low-Density Parity-Check (LDPC) codes.
Declercq, David   +2 more
core   +3 more sources

Tree-structure Expectation Propagation for Decoding LDPC codes over Binary Erasure Channels [PDF]

open access: yes, 2010
Expectation Propagation is a generalization to Belief Propagation (BP) in two ways. First, it can be used with any exponential family distribution over the cliques in the graph.
Fernando Pérez-cruz   +2 more
core   +3 more sources

Finite Rate QLDPC-GKP Coding Scheme that Surpasses the CSS Hamming Bound [PDF]

open access: yesQuantum, 2022
Quantum error correction has recently been shown to benefit greatly from specific physical encodings of the code qubits. In particular, several researchers have considered the individual code qubits being encoded with the continuous variable ...
Nithin Raveendran   +5 more
doaj   +1 more source

Algebraic Optimization of Binary Spatially Coupled Measurement Matrices for Interval Passing

open access: yes, 2018
We consider binary spatially coupled (SC) low density measurement matrices for low complexity reconstruction of sparse signals via the interval passing algorithm (IPA).
Habib, Salman, Kliewer, Joerg
core   +1 more source

Deriving Good LDPC Convolutional Codes from LDPC Block Codes [PDF]

open access: yes, 2010
Low-density parity-check (LDPC) convolutional codes are capable of achieving excellent performance with low encoding and decoding complexity. In this paper we discuss several graph-cover-based methods for deriving families of time-invariant and time ...
Ali E. Pusane   +4 more
core   +1 more source

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