In coding theory, concatenated codes form a class of error-correcting codes that are derived by combining an inner code and an outer code. They were conceived...

information theory and coding theory with applications in computer science and telecommunications, error detection and correction (EDAC) or error control are techniques...

information theory, and coding theory, forward error correction (FEC) or channel coding is a technique used for controlling errors in data transmission over...

algorithm. In 1977, Reed–Solomon codes were implemented in the Voyager program in the form of concatenated error correction codes. The first commercial application...

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

Classical error correction often employs redundancy. The simplest albeit inefficient approach is the repetition code. A repetition code stores the desired...

In information theory, turbo codes are a class of high-performance forward error correction (FEC) codes developed around 1990–91, but first published in...

Serial concatenated convolutional codes (SCCC) are a class of forward error correction (FEC) codes highly suitable for turbo (iterative) decoding. Data...

channel coding (including error correction) before transmission. For any uniquely decodable code there is a prefix code that has the same code word lengths...

Viterbi-decoded codes, usually concatenated with large Reed–Solomon error correction codes that steepen the overall bit-error-rate curve and produce extremely...

has media related to Codes. ADDML Asemic writing Cipher Code (semiotics) Cultural code Equipment codes Quantum error correction Semiotics Universal language...

instead of two. Gray codes are widely used to prevent spurious output from electromechanical switches and to facilitate error correction in digital communications...

(ARA) codes, allows for surprisingly good error correction performance. Repetition codes are one of the few known codes whose code rate can be automatically...

constant alphabet size. Before the Justesen error correction code was discovered, no error correction code was known that had all of these three parameters...

named RAID 5. Around 1988, the Thinking Machines' DataVault used error correction codes (now known as RAID 2) in an array of disk drives. A similar approach...

forward error correction in the context of channel coding. Another special case of prefix codes are LEB128 and variable-length quantity (VLQ) codes, which...

The Gottesman–Kitaev–Preskill (GKP) code is a quantum error correcting code that encodes logical qubits into the continuous degrees of freedom of a quantum...

decoding Raptor codes. In a concatenated approach, the inner code is decoded first, using a belief propagation algorithm, as used for the LT codes. Decoding...

Reed–Solomon code (CIRC) provides error detection and error correction. CIRC adds to every three data bytes one redundant parity byte. Reed–Solomon codes are specifically...

classical type of error correction coding used with OFDM-based systems is convolutional coding, often concatenated with Reed-Solomon coding. Usually, additional...

a higher capacity for error correction. (The Hadamard code falls under the general umbrella of forward error correction, and just happens to be locally...

methods Error detection and correction Forward error correction Andre Neubauer; Jurgen Freudenberger; Volker Kuhn (22 October 2007). Coding Theory.:...

processing framework provides the C++ implementation for Forward error correction codes and channel equalization here. C++ C# Java Archived 2014-05-04 at...

Reed–Solomon codes usually concatenated with convolutional codes with an interleaving; New modems support superior error correction codes (turbo codes and LDPC...

decoding, trellis shaping, and multilevel structure for high-rate parity-concatenated TCM". IEEE Transactions on Communications. 50 (1): 48–55. doi:10.1109/26...

associated metadata such as file name, directory structure, error detection and correction information, commentary, compressed data archives, storage,...

Ping, Li; Huang, Xiaoling; Phamdo, Nam (2001), "Zigzag codes and concatenated zigzag codes", IEEE Transactions on Information Theory, 47 (2): 800–807...

Quantum Computing) (2025-02-26). "Hardware-efficient quantum error correction via concatenated bosonic qubits". Nature. 638 (8052): 927–935. arXiv:2409.13025...

which is based on using an errors-and-erasures decoder for the outer code. A naive decoding algorithm for concatenated codes can not be an optimal way...

DVB-S receivers). Improved coding: a modern large LDPC code is concatenated with an outer BCH code to achieve quasi-error-free (QEF) reception conditions...