Low-density parity-check (LDPC) codes are a class of error correction codes which (together with the closely-related turbo codes) have gained prominence...

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...

impractical algorithm becomes practical. See, for example, Low-density parity-check codes, below. An impractical algorithm can still demonstrate that...

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

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...

A multidimensional parity-check code (MDPC) is a type of error-correcting code that generalizes two-dimensional parity checks to higher dimensions. It...

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...

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...

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

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...

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

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...

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

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...

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...

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

and 22 "parity" bytes appended to the data bytes. The two 35-byte Reed-Solomon code blocks are interleaved (resulting in a total of 70 code bytes), so...

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

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...

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...

newest drives, as of 2009[update], low-density parity-check codes (LDPC) were supplanting Reed–Solomon; LDPC codes enable performance close to the Shannon...

C.; Neal, R. M. (1996). "Near Shannon limit performance of low density parity check codes". Electronics Letters. 32 (18): 1645. Bibcode:1996ElL....32...

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...

extraction, speech recognition, computer vision, decoding of low-density parity-check codes, modeling of gene regulatory networks, gene finding and diagnosis...

channel coding techniques for 5G NR have changed from Turbo codes in 4G to polar codes for the control channels and LDPC (low-density parity check codes) for...

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

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...

frequency-division multiplexing (OFDM) modulation and low-density parity-check code (LDPC) forward error correction (FEC) code. G.hn includes the capability to notch...

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