Belief propagation decoding of quantum LDPC codes with guided decimation

H Yao, WA Laban, C Häger, AG i Amat… - … on Information Theory …, 2024 - ieeexplore.ieee.org
Quantum low-density parity-check (QLDPC) codes have emerged as a promising technique
for quantum error correction. A variety of decoders have been proposed for QLDPC codes …

Threshold saturation for spatially coupled LDPC and LDGM codes on BMS channels

S Kumar, AJ Young, N Macris… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Spatially-coupled low-density parity-check (LDPC) codes, which were first introduced as
LDPC convolutional codes, have been shown to exhibit excellent performance under low …

A simple proof of Maxwell saturation for coupled scalar recursions

A Yedla, YY Jian, PS Nguyen… - IEEE Transactions on …, 2014 - ieeexplore.ieee.org
Low-density parity-check (LDPC) convolutional codes (or spatially coupled codes) were
recently shown to approach capacity on the binary erasure channel (BEC) and binary-input …

Concatenated spatially coupled LDPC codes with sliding window decoding for joint source-channel coding

A Golmohammadi, DGM Mitchell - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
In this paper, a method for joint source-channel coding (JSCC) based on concatenated
spatially coupled low-density parity-check (SC-LDPC) codes is investigated. A construction …

Sparse regression codes

R Venkataramanan, S Tatikonda… - … and Trends® in …, 2019 - nowpublishers.com
Develo** computationally-efficient codes that approach the Shannon-theoretic limits for
communication and compression has long been one of the major goals of information and …

How to achieve the capacity of asymmetric channels

M Mondelli, SH Hassani… - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
We survey coding techniques that enable reliable transmission at rates that approach the
capacity of an arbitrary discrete memoryless channel. In particular, we take the point of view …

Learned decimation for neural belief propagation decoders

A Buchberger, C Häger, HD Pfister… - ICASSP 2021-2021 …, 2021 - ieeexplore.ieee.org
We introduce a two-stage decimation process to improve the performance of neural belief
propagation (NBP), recently introduced by Nachmani et al., for short low-density parity-check …

How to achieve the capacity of asymmetric channels

M Mondelli, R Urbanke… - 2014 52nd Annual …, 2014 - ieeexplore.ieee.org
We describe coding techniques that achieve the capacity of a discrete memoryless
asymmetric channel. To do so, we discuss how recent advances in coding for symmetric …

A Lego-brick approach to coding for network communication

N Ghaddar, S Ganguly, L Wang… - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Coding schemes for several problems in network information theory are constructed starting
from point-to-point channel codes that are designed for symmetric channels. Given that the …

Recursive block Markov superposition transmission of short codes: Construction, analysis, and applications

S Zhao, X Ma, Q Huang, B Bai - IEEE Transactions on …, 2018 - ieeexplore.ieee.org
Extensive studies have demonstrated the effectiveness and the flexibility of constructing
capacity-approaching codes by block Markov superposition transmission (BMST). However …