Results 61 to 70 of about 2,457,220 (279)
The Need for Structure in Quantum LDPC Codes [PDF]
IEEE Transactions on Information Theory, 2020 Existence of quantum low-density parity-check (LDPC) codes whose minimal distance scales linearly with the number of qubits is a major open problem in quantum information. Its practical interest stems from the need to protect information in a future quantum computer, and its theoretical appeal relates to a deep "global-to-local" notion in quantum ...
Lior Eldar, Maris Ozols, Kevin Thompson
openaire +3 more sources
On LDPC codes for Gaussian interference channels [PDF]
2014 IEEE International Symposium on Information Theory, 2014 In this paper, we focus on the two-user Gaussian interference channel (GIC), and study the Han-Kobayashi (HK) coding/decoding strategy with the objective of designing low-density parity-check (LDPC) codes. A code optimization algorithm is proposed which adopts a random perturbation technique via tracking the average mutual information.
Sharifi, S. +2 more
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Bias-tailored quantum LDPC codes
Quantum, 2023 Bias-tailoring allows quantum error correction codes to exploit qubit noise asymmetry. Recently, it was shown that a modified form of the surface code, the XZZX code, exhibits considerably improved performance under biased noise. In this work, we demonstrate that quantum low density parity check codes can be similarly bias-tailored. We introduce a bias-
Joschka Roffe +4 more
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LDPC codes from Singer cycles [PDF]
Discrete Applied Mathematics, 2009 The main goal of coding theory is to devise efficient systems to exploit the full capacity of a communication channel, thus achieving an arbitrarily small error probability. Low Density Parity Check (LDPC) codes are a family of block codes--characterised by admitting a sparse parity check matrix--with good correction capabilities.
GIUZZI, Luca, SONNINO A.
openaire +4 more sources
Nonbinary LDPC-Coded Modulation System in High-Speed Mobile Communications
IEEE Access, 2018 As a class of capacity-approaching codes, nonbinary low-density parity-check (LDPC) codes have attracted much attention because of noticeable performance.
Dan Feng +5 more
doaj +1 more source
On the Minimum Distance of Generalized LDPC Codes [PDF]
2007 IEEE International Symposium on Information Theory, 2007 We study necessary conditions which have to be satisfied in order to have LDPC codes with linear minimum distance. We give two conditions of this kind in this paper. These conditions are not met for several interesting code families: this shows that they are not asymptotically good.
Ayoub Otmani +2 more
openalex +7 more sources
A High Throughput Implementation of QC-LDPC Codes for 5G NR
IEEE Access, 2019 Quasi-cyclic low-density parity-check (QC-LDPC) codes are the choice for data channels in the fifth generation (5G) new radio (NR). At the transmitter side, code bits from the QC-LDPC encoder are delivered to the rate matcher.
Hao Wu, Huayong Wang
semanticscholar +1 more source
Design of Multiple-Edge Protographs for QC LDPC Codes Avoiding Short Inevitable Cycles [PDF]
, 2012 There have been lots of efforts on the construction of quasi-cyclic (QC) low-density parity-check (LDPC) codes with large girth. However, most of them are focused on protographs with single edges and little research has been done for the construction of QC LDPC codes lifted from protographs with multiple edges.
arxiv +1 more source
Decoding Optimization for 5G LDPC Codes by Machine Learning
IEEE Access, 2018 In this paper, we propose a generalized minimum-sum decoding algorithm using a linear approximation (LAMS) for protograph-based low-density parity-check (PB-LDPC) codes with quasi-cyclic (QC) structures.
Xiaoning Wu, Ming Jiang, Chunming Zhao
semanticscholar +1 more source
Cost‐Effective DNA Storage System with DNA Movable Type
Advanced Science, Volume 12, Issue 9, March 6, 2025.This study presents a cost‐effective “DNA‐movable‐type storage” system inspired by movable type printing. Utilizing reusable prefabricated DNA‐MTs and an automated inkjet printer, BISHENG‐1 stores and retrieves 43.7 KB of data in vitro and in vivo with only 350 DNA‐MTs, achieving storage costs of $122 MB−1–significantly more cost‐efficient than ...
Chenyang Wang +30 more
wiley +1 more source