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

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

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

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...

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...

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...

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

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...

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...

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

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...

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...

specify an error correcting code. Tanner graphs play a central role in the design and decoding of low-density parity-check codes. They have also been applied...

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...

Convolutional code Viterbi algorithm Soft-decision decoding Interleaver BCJR algorithm Low-density parity-check code Repeat-accumulate code Turbo equalizer...

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

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

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

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...

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...

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

orthogonal frequency-division multiplexing (OFDM) modulation with low-density parity-check code (LDPC) forward error correction (FEC). With a 6 MHz channel...

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...

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