theory and coding theory, Reed–Solomon codes are a group of error-correcting codes that were introduced by Irving S. Reed and Gustave Solomon in 1960. They...

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

In coding theory, folded Reed–Solomon codes are like Reed–Solomon codes, which are obtained by mapping m {\displaystyle m} Reed–Solomon codewords over...

to QR codes. Reed Solomon Codes for Coders – an elaborate tutorial on Wikiversity, covering both QR code structure and the Reed Solomon codes used to...

codewords (of 6 bits each). The message data is encoded using a (63,52) Reed-Solomon code (shortened to (40,29) and corresponding to 29 data words and 11 error...

computer science. Reed–Muller codes generalize the Reed–Solomon codes and the Walsh–Hadamard code. Reed–Muller codes are linear block codes that are locally...

Algebraic geometry codes, often abbreviated AG codes, are a type of linear code that generalize Reed–Solomon codes. The Russian mathematician V. D. Goppa...

the Reed–Solomon code to correct for scratches and dust. In this application the transmission channel is the CD itself. Cell phones also use coding techniques...

data-efficient Reed–Solomon erasure codes, but are much faster to generate and can fix erasures faster. Software-based implementations of tornado codes are about...

generally round.) ECC 200, the newer version of Data Matrix, uses Reed–Solomon codes for error and erasure recovery. ECC 200 allows the routine reconstruction...

The 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...

12,8) code. The Voyager 2 craft additionally supported an implementation of a Reed–Solomon code. The concatenated Reed–Solomon–Viterbi (RSV) code allowed...

using the i-th inner code. The Justesen codes are examples of generalized concatenated codes, where the outer code is a Reed–Solomon code. 1. The distance...

error-detecting codes known as Reed–Solomon codes in collaboration with Gustave Solomon. He also co-invented the Reed–Muller code. Reed made many contributions...

Fire Code above is a cyclic code capable of correcting any burst of length 5 {\displaystyle 5} or less. Certain families of codes, such as Reed–Solomon, operate...

the finite field G F ( q N ) {\displaystyle GF(q^{N})} similar to Reed–Solomon code. The rank of the vector over G F ( q N ) {\displaystyle GF(q^{N})}...

inner code even at low bit error rates. For example: The Reed-Solomon code with LDPC Coded Modulation (RS-LCM) uses a Reed-Solomon outer code. The DVB-S2...

with high probability for a random code picked from a natural ensemble and more so for the case of Reed–Solomon codes which is well studied and quite ubiquitous...

communications. These codes are often implemented in concatenation with a hard-decision code, particularly Reed–Solomon. Prior to turbo codes such constructions...

other type of Reed Solomon code is an original view Reed Solomon code which is not a BCH code. The generator polynomial of a BCH code has degree at most...

RAID levels. When a Reed Solomon code is used, the second parity calculation is unnecessary.[citation needed] Reed Solomon coding also has the advantage...

It is used as one of the steps in decoding BCH codes and Reed–Solomon codes (a subclass of BCH codes). George David Forney Jr. developed the algorithm...

developing, along with Irving S. Reed, the algebraic error correction and detection codes named the Reed–Solomon codes. These codes protect the integrity of digital...

block code to each other, such as its rate and its ability to detect and correct errors. Examples of block codes are Reed–Solomon codes, Hamming codes, Hadamard...

correcting code Reed–Solomon error correction Reed–Muller code Repeat-accumulate code Repetition codes, such as Triple modular redundancy Spinal code, a rateless...

Justesen codes are derived as the code concatenation of a Reed–Solomon code and the Wozencraft ensemble. The Reed–Solomon codes used achieve constant rate and...

error-detecting codes. Linear codes are usually implemented as systematic error-correcting codes (e.g., Reed-Solomon codes in CDs). Convolutional codes are implemented...

Binary Reed–Solomon coding (BRS), which belongs to a RS code, is a way of encoding that can fix node data loss in a distributed storage environment. It...

recovered. The two modes of ECC data generation in dvdisaster make use of Reed–Solomon codes. In RS01 mode, the generated data is created from a disc image and...

code may be omitted when a code is used that can perform both forward error correction (FEC) in addition to error detection, such as a Reed–Solomon code...