A parallel concatenated coding scheme consists of two simple constituent systematic encoders linked by an interleaver. The input bits to the rst encoder are scrambled by the interleaver before entering the second encoder. The codeword of the parallel concatenated code consists of the input bits to the rst encoder followed by the parity check bits of both encoders. This construction can be gener...

A hybrid concatenated code with two interleavers is the parallel concatenation of an encoder, which accepts the permuted version of the information sequence as its input, with a serially concatenated code, which accepts the unpermuted information sequence. The serially concatenated code consists of an outer encoder, an interleaver, and an inner encoder. An upper bound to the average maximum-lik...

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...

A serially concatenated code with an interleaver consists of the cascade of an outer code, an interleaver permuting the outer codewords’ bits, and an inner code whose input words are the permuted outer codewords. The construction can be generalized to h cascaded codes separated by h − 1 interleavers. We obtain upper bounds to the average maximum-likelihood bit-error probability of serially conc...

Abst rac t Systematic recursive convolutional encoders have been shown to play a crucial role in the design and implementation ofparallel concatenated codes (“turbo codes77). We present here a canonical structure of minimal linear systematic rate k / n encoders and use it in the search for good constituent codes of parallel concatenated codes. Tables of the best encoders for various rates are a...

The error correcting capabilities of the Calderbank-Shor-Steane [[7,1,3]] quantum code, together with a fault-tolerant syndrome extraction by means of several ancilla states, have been numerically studied. A simple probability expression to characterize the code ability for correcting an encoded qubit has been considered. This probability, as a correction quality criterion, permits the error co...

In classical algebraic coding theory, the minimum distance of block code completely determines the ability of the code in terms of error correction/detection and erasure correction. We have obtained generalizations of these results for network codes.

This paper gives two lossless speech compression schemes Hamming correction codes compressor (HCCC) and Systematic Linear Block Code Compressor (SLBC) based on error correcting Hamming code and systematic linear block codes respectively. Hamming codes are a family of linear errorcorrecting codes that can detect up to two-bit errors or correct one-bit errors. Systematic linear block code is any ...