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 …
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 …
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 …
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 …
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 …
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 sets determine the performance of low-density parity-check (LDPC) codes under iterative decoding over erasure channels. We derive several results on the asymptotic …
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 …