In information theory, a low-density parity-check (LDPC) code is a linear error correcting code, a method of transmitting a message over a noisy transmission...

codes; on the theoretical limits of error-correction; and on the latest state-of-the-art error-correcting codes, including low-density parity-check codes...

occurred. Coding theory Golay code Hamming bound Hamming distance Low-density parity-check code Reed–Muller code Reed–Solomon error correction Turbo code See...

most popular erasure codes are Reed-Solomon coding, Low-density parity-check code (LDPC codes), and Turbo codes. As of 2023, modern data storage systems...

code Linear Network Coding, a type of erasure correcting code across networks instead of point-to-point links Long code Low-density parity-check code...

error-correcting codes are based on sparse graphs, achieving close to the Shannon limit. The archetypal sparse-graph codes are Gallager's low-density parity-check codes...

noise. Turbo codes compete with low-density parity-check (LDPC) codes, which provide similar performance. Until the patent for turbo codes expired, the...

probabilistic graphical model and thus methods from decoding low-density parity-check codes like belief propagation can be used. In the erasure channel...

regular low density parity check code. Another possibility would be a concatenation of a Hamming code with a low density parity check code. The inner code takes...

Turbo, Golay, algebraic geometry codes, low-density parity-check codes, and space–time codes. Error detecting codes can be optimised to detect burst errors...

A multidimensional parity-check code (MDPC) is a simple type of error correcting code that operates by arranging the message into a multidimensional grid...

Polynomial codes, of which BCH codes are an example Reed–Solomon codes Reed–Muller codes Algebraic geometry codes Binary Goppa codes Low-density parity-check codes...

neural networks, the rediscovery (with Radford M. Neal) of low-density parity-check codes, and the invention of Dasher, a software application for communication...

compared to well-defined and implemented coding schemes such as low-density parity-check code (LDPC) and turbo code. Polar performance can be improved with...

empirical success in numerous applications, including low-density parity-check codes, turbo codes, free energy approximation, and satisfiability. The algorithm...

Advanced techniques such as Reed–Solomon codes and, more recently, low-density parity-check (LDPC) codes and turbo codes, come much closer to reaching the theoretical...

modern iteratively-decoded error-correcting codes, including turbo codes and low-density parity-check codes. Based on the trellis: Compute forward probabilities...

or BCJR algorithm are essential in iteratively decoding the low-density parity-check code used in modern HDDs. A single integrated circuit contains the...

expanded with a 24-bit CRC, then individually encoded using a low-density parity-check code, and then interleaved as a single unit using a block interleaver...

R.L. (Feb 2001). "Design of capacity-approaching irregular low-density parity-check codes". IEEE Transactions on Information Theory. 47 (2): 619–37. doi:10...

expensive to implement both HomePlug's turbo coding forward error correction and G.hn's low-density parity-check code. However, IEEE 1901 allows co-existence...

error correction (FEC) coding is performed using a [2048,1723]2 low-density parity-check code on 1723 bits, with the parity check matrix construction based...

length of the code. In coding theory, an expander code is a [ n , n − m ] 2 {\displaystyle [n,n-m]_{2}\,} linear block code whose parity check matrix is the...

and Computing. Vol. 36. University Of Illinois. pp. 201–210. Iterative Error Correction: Turbo, Low-Density Parity-Check, and Repeat-Accumulate Codes...

noisy-channel coding theorem. This text also discusses state-of-the-art methods from coding theory, such as low-density parity-check codes, and Turbo codes. MIT...

Compressed sensing in speech signals Low-density parity-check code Noiselet Sparse approximation Sparse coding Verification-based message-passing algorithms...

has been invented for the decoding of low-density parity-check codes (LDPC codes also known as Gallager codes, in honor of Robert G. Gallager, who developed...

11n specification: Two to four spatial streams Low-density parity-check code (LDPC) Space–time block coding (STBC) Transmit beamforming (TxBF) 400 ns short...

with the contents of the parity track, and the polynomial check code calculated and exclusive-ORed with the received check code, resulting in two 8-bit...

Gallager's 1960 Sc.D. thesis, on low-density parity-check codes, was published by the MIT Press as a monograph in 1963. The codes, which remained useful over...