Library. Block sublibrary of Error Detection and Correction An (N,K) Reed-Solomon code can correct up to floor((N-K)/2) symbol errors (not bit errors) in each. Schifra Reed Solomon Error Correcting Library. Contribute to schifra Schifra C++ Reed-Solomon Error Correcting Code Library sch... ... ...ifra.com. An interactive demo of Reed-Solomon error correction coding. detail and allows the user t...

Reed-Solomon codes are examples of error correcting codes, in which redundant information is added to data so that it can be recovered reliably despite errors in transmission or storage and retrieval. The error correction system used on CD’s and DVD’s is based on a Reed-Solomon code. These codes are also used on satellite links and other communications systems. We will first discuss the general...

Digital communication system is used to transport an information bearing signal from the source to a user destination via a communication channel. Channel coding is used for providing reliable information through the transmission channel to the user. In channel coding the number of symbols in the source encoded message is increased in a controlled manner in order to facilitate two basic objecti...

We define and investigate the notion of entropy for quantum error correcting codes. The entropy of a code for a given quantum channel has a number of equivalent realisations, such as through the coefficients associated with the Knill-Laflamme conditions and the entropy exchange computed with respect to any initial state supported on the code. In general the entropy of a code can be viewed as a ...

Minimum distance (MD), maximum likelihood (ML), and maximum a posteriori (MAP) decoding is considered for synchronization error correcting (SEC) codes with known codeword boundaries when transmitted over the Binary Substitution, Insertion and Deletion channel. It is shown that MD decoding is sub-optimal, unlike ML or MAP decoding. Based on ML and MAP decoding, a new measure called the Change Pr...

In this paper we demonstrate how data encoded in a five-qubit quantum error correction code can be converted, fault-tolerantly, into a seven-qubit Steane code. This is achieved by progressing through a series of codes, each of which fault-tolerantly corrects at least one error. Throughout the conversion the encoded qubit remains protected. We found, through computational search, that the method...

LDPC codes are state-of-art error correcting codes, included in and the received samples in LDPC-coded systems using M -QAM schemes. physical layer, especially on the forward-error correction code. (FEC) performance. low-density parity check (LDPC) codes can achieve high Using long FECs with short is possible to apply a non-uniform mapping like for example. Low-density parity-check (LDPC) code ...

Given an error-correcting code over strings of length n and an arbitrary input string also of length n, the list decoding problem is that of finding all codewords within a specified Hamming distance from the input string. We present an improved list decoding algorithm for decoding Reed-Solomon codes. The list decoding problem for Reed-Solomon codes reduces to the following “curve-fitting” probl...

We consider dictionaries of size n over the finite universe u = (0, l)w and introduce a new technique for their implementation: error correcting codes. protected with an error-correcting code (ECC) is presented in this compared with the most recent implementation. treated within industries for their products. ―VLSI Implementation of Decoder Error Correcting in Satellite. Concatenation Code in F...