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 telecommunications, error detection and correction (EDAC) or error control are techniques...

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...

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...

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...

In information theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon...

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...

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

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...

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...

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

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

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...

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

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

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...

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...

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...

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

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

the encoded data depends on the number of cells in the matrix. Error correction codes are often used to increase reliability: even if one or more cells...

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...

quantum error correction code 10 times more efficient than previous research, protecting 12 logical qubits for roughly a million cycles of error checks...

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...

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