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

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

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...

Hamming codes are a family of linear error-correcting codes. Hamming codes can detect one-bit and two-bit errors, or correct one-bit errors without detection...

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

Error correction code memory (ECC memory) is a type of computer data storage that uses an error correction code (ECC) to detect and correct n-bit data...

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

by imaging devices like cameras, and processed using Reed–Solomon error correction until the image can be appropriately interpreted. The required data...

used for data compression, cryptography, error detection and correction, data transmission and data storage. Codes are studied by various scientific disciplines—such...

telecommunication and information theory, the code rate (or information rate) of a forward error correction code is the proportion of the data-stream that...

They are error-correcting codes that have algebraic properties that are convenient for efficient error detection and correction. Let C {\displaystyle {\mathcal...

redundant forward error correction codes. The transmission BER is the number of detected bits that are incorrect before error correction, divided by the...

In coding theory, burst error-correcting codes employ methods of correcting burst errors, which are errors that occur in many consecutive bits rather...

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

information theory, turbo codes (originally in French Turbocodes) are a class of high-performance forward error correction (FEC) codes developed around 1990–91...

communication, a stabilizer code is a class of quantum codes for performing quantum error correction. The toric code, and surface codes more generally, are types...

computer science, the binary Goppa code is an error-correcting code that belongs to the class of general Goppa codes originally described by Valerii Denisovich...

In coding theory, puncturing is the process of removing some of the parity bits after encoding with an error-correction code. This has the same effect...

In coding theory, an erasure code is a forward error correction (FEC) code under the assumption of bit erasures (rather than bit errors), which transforms...

two Error correction levels: M and H, which have influence on possible encoded data size and error correction. All of Rectangular Micro QR Code versions...

outer error correction that fixes the occasional errors (the "error floor") that get past the LDPC correction inner code even at low bit error rates....

Error correction mode (ECM) is an optional transmission mode built into Class 1/2/2.0 fax machines or fax modems. ECM automatically detects and corrects...

Also like CNAV it can utilize Forward Error Correction (FEC) and advanced error detection (such as a CRC). The M-code is transmitted in the same L1 and L2...

In coding theory, Tornado codes are a class of erasure codes that support error correction. Tornado codes require a constant C more redundant blocks than...

In coding theory, a constant-weight code, also called an m-of-n code, is an error detection and correction code where all codewords share the same Hamming...

package. This information is protected with a strong Reed–Solomon error correction code, allowing it to be read even if a portion of the symbol is damaged...

In coding theory, the Bose–Chaudhuri–Hocquenghem codes (BCH codes) form a class of cyclic error-correcting codes that are constructed using polynomials...

detected errors can be corrected—this is increasingly important on networked machines serving many users. RAM with ECC or Error Correction Code can detect...

The toric code is a topological quantum error correcting code, and an example of a stabilizer code, defined on a two-dimensional spin lattice. It is the...

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...