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...

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...

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...

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

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

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

L error correction, for example, consists of a single error correction block with a total of 26 code bytes (made of 19 message bytes and seven error correction...

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

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

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

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...

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

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...

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...

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...

The five-qubit error correcting code or the [[5,1,3]] code, is the smallest quantum error correcting code that can protect a logical qubit from any arbitrary...

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, 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, CSS codes, named after their inventors, Robert Calderbank, Peter Shor and Andrew Steane, are a special type of stabilizer code constructed...

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

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

In telecommunication, a convolutional code is a type of error-correcting code that generates parity symbols via the sliding application of a boolean polynomial...

forward error correction code is added and the message is spread in time by means of bit-interleaving before it is transmitted. Thus, error bursts are...

of signals is usually called a constrained code in data storage systems. Some signals are more prone to error than others as the physics of the communication...