As technology scales, VLSI performance has experienced an exponential growth. As feature sizes shrink, however, we will face new challenges such as soft errors (single-event upsets) to maintain the reliability of circuits. Recent studies have tried to address soft errors with error detection and correction techniques such as error correcting codes and redundant execution. However, these techniq...

Forward error correction codes (FEC) are used for error detection and correction in communication systems. Low density parity check code (LDPC) is used as a powerful Forward Error Correction code in long distance communication systems which works close to the Shannon limit. Unlike other conventional channel code, the decoding algorithm used for LDPC codes is an iterative message passing algorit...

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...