Low-density parity-check codes for digital subscriber lines

E Eleftheriou, S Olcer - 2002 IEEE International Conference on …, 2002 - ieeexplore.ieee.org
The paper investigates the application of low-density parity-check (LDPC) codes to digital
subscriber-line (DSL) transmission systems that employ discrete multitone modulation. A …

Batched sparse codes

S Yang, RW Yeung - IEEE Transactions on Information Theory, 2014 - ieeexplore.ieee.org
Network coding can significantly improve the transmission rate of communication networks
with packet loss compared with routing. However, using network coding usually incurs high …

[PDF][PDF] Introducing low-density parity-check codes

SJ Johnson - University of Newcastle, Australia, 2006 - researchgate.net
Low-density parity-check (LDPC) codes are forward error-correction codes, first proposed in
the 1962 PhD thesis of Gallager at MIT. At the time, their incredible potential remained …

Low density parity check decoder for regular LDPC codes

KK Gunnam - US Patent 8,359,522, 2013 - Google Patents
613371642 B1 V2002 Yaoilleta' 2003/0081693 A1 5/2003 Raghaven etal. 1 1 g.
2003/0087634 A1 5/2003 Raghaven et a1. 613511832 B1 2/2002 We ' 2003/0112896 A1 …

A new analysis of the McEliece cryptosystem based on QC-LDPC codes

M Baldi, M Bodrato, F Chiaraluce - … , SCN 2008, Amalfi, Italy, September 10 …, 2008 - Springer
We improve our proposal of a new variant of the McEliece cryptosystem based on QC-LDPC
codes. The original McEliece cryptosystem, based on Goppa codes, is still unbroken up to …

Method and system for providing low density parity check (LDPC) encoding

M Eroz, FW Sun, L Lee - US Patent 7,191,378, 2007 - Google Patents
An approach is provided for a method of encoding structure Low Density Parity Check
(LDPC) codes. Memory storing information representing a structured parity check matrix of …

The renaissance of Gallager's low-density parity-check codes

T Richardson, R Urbanke - IEEE Communications Magazine, 2003 - ieeexplore.ieee.org
LDPC codes were invented in 1960 by R. Gallager. They were largely ignored until the
discovery of turbo codes in 1993. Since then, LDPC codes have experienced a renaissance …

The development of turbo and LDPC codes for deep-space applications

KS Andrews, D Divsalar, S Dolinar… - Proceedings of the …, 2007 - ieeexplore.ieee.org
The development of error-correcting codes has been closely coupled with deep-space
exploration since the early days of both. Since the discovery of turbo codes in 1993, the …

Stopping set distribution of LDPC code ensembles

A Orlitsky, K Viswanathan… - IEEE Transactions on …, 2005 - ieeexplore.ieee.org
Stopping sets determine the performance of low-density parity-check (LDPC) codes under
iterative decoding over erasure channels. We derive several results on the asymptotic …

On the iterative decoding of sparse quantum codes

D Poulin, Y Chung - arXiv preprint arXiv:0801.1241, 2008 - arxiv.org
We address the problem of decoding sparse quantum error correction codes. For Pauli
channels, this task can be accomplished by a version of the belief propagation algorithm …