In this paper we utilize both the implicit residual source correlation and the explicit redundancy from a forward-error-correction (FEC) scheme for the error protection of packetized variable-length encoded source indices. The implicit source correlation is exploited in a novel symbol-based soft-input a-posteriori probability (APP) decoder, which leads to an optimal decoding process in combinat...

The entanglement-assisted stabilizer formalism provides a useful framework for constructing quantum error-correcting codes (QECC), which can transform arbitrary classical linear codes into entanglement-assisted quantum error correcting codes (EAQECCs) by using pre-shared entanglement between the sender and the receiver. In this paper, we construct five classes of entanglement-assisted quantum M...

The [[7,1,3]] quantum error correction code uses sets of three syndrome measurements to separately detect bit-flip and phase-flip errors. To comply with the strictures of fault tolerance and thus stem the possible spread of errors to multiple qubits, each set of syndromes is repeated twice. Still, there remains flexibility in the order in which the sets of syndromes are implemented. Here we exp...

PI W. W. Peterson, “Error-Correcting Codes,” John Wiley and Sons, Inc., New York, N. Y.; 1961. E. Gorog, ‘(Some new classes of cyclic codes used for burst-error correction,” IBM J. Res. Developm., vol. 7, pp. 102-111; April, 1963. R. C. Bose and C. R. Ray-Chaudhuri, “On a class of errorcorrecting binary group codes,” Information and Control, vol. 3, pp. 68-79; 1960. A. Hocquenghem, “Codes corre...

We give a short introduction to operator quantum error correction. This is a new protocol for error correction in quantum computing that has brought the fundamental methods under a single umbrella, and has opened up new possibilities for protecting quantum information against undesirable noise. We describe the various conditions that characterize correction in this scheme.

The large-scale seismic acquisition system (LSAS) is a kind of field data acquisition system in super scale. It can cover hundreds of square kilometers. To implement the real time transmission of so much data, speed and reliability are the most important criteria of the system. Based on 8b10b code, this paper discusses frame sync technology, error correction code (ECC), and a co-design method o...

This paper 1 investigates the efficiency of the applied redundancy via channel coding or source coding diversity in narrowband short range wireless networks on the example of Bluetooth. The efficiency of such approaches is investigated in order to be applied as data reliability improvement techniques. Taking into account their error correction capabilities, the packet error probabilities are es...

Money demand in Venezuela is modeled using structural time series and error correction approaches, for the period 1993.1 to 2001.4. The preferred model features seasonal cointegration and was estimated following a structural time series approach. There are similarities in the long-run behavior of money demand associated with the structural time series and error correction approaches. Estimated ...

Our purpose here is to show how it is possible to recover the structure of a randomly permuted concatenated code, and how to use this information for decoding. This result prohibits the use of rst order concatenated codes in public-key cryp-tosystems based on error-correcting codes. R esum e Nous montrons ici comment il est possible de reconstituer la structure d'un code concat en e permut e al...