Forward Error Correction (FEC) has been proposed as a technique for implementing efficient reliable multicast (RM). However, FEC incurs costs in encode/decode delay and implementation complexity. How much benefit is provided relative to these costs and how dependent is the benefit on the specific RM

This paper gives an overview of the author’s recent results on using lattices for error-correction and rewriting in flash memories. A construction using the E8 lattice and Reed-Solomon codes for error-correction in flash memory has a performance advantage of 1.7 to 2.0 dB. A rewriting code construction for flash memories based upon lattices has an minimum number of writes linear in one code par...

The paper discusses the limits of error correction coding for spread spectrum-based video watermarking. The error correction code has as input the watermark data bits and as output the values which will be scaled and used to modify the video pixels (transform coefficients). The data rate of the watermark can increase only at the expense of increasing code rate. Theoretically, the scheme is seen...

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...

It is important to protect quantum information against decoherence and operational errors, and quantum error-correcting (QEC) codes are the keys to solving this problem. Of course, just the existence of codes is not efficient. It is necessary to perform operations fault-tolerantly on encoded states because error-correction process (i.e., encoding, decoding, syndrome measurement and recovery) it...

The performance of robust video transmission over wireless fading channels relies on a coordinated protection effort in handling channel and source variations dynamically. Given the relative priority of each source packet and the estimated instantaneous channel condition, an adaptive protection scheme with joint source-channel criteria is investigated via the use of proactive forward error corr...

The quantum error correction theory is as a rule formulated in a rather convoluted way, in comparison to classical algebraic theory. This work revisits the error correction in a noisy quantum channel so as to make it intelligible to engineers. An illustrative example is presented of a naïve perfect quantum code (Hamming-like code) with five-qubits for transmitting a single qubit of information....