… We present the elements of the proposed Foundation Error Correction Code … foundation
model based on the Transformer architecture for the decoding of algebraic block codes…

… foundations of code, chaptersproceedtocover individual topics such as notions of compression,
cryptography,detection,and correction codes… model to build error detection and correction …

… progress in coding theory, and error-correcting codes have … In fact, so much new work on
error-correcting codes has been … While this may be an appropriate model for some channels, …

… articles and graduate level texts on signal processing and error correction coding. … and
conference articles and graduate level texts on signal processing and error correction coding. …

… of a subregion to its entanglement properties, and (2) a previously established mapping
between entanglement entropies and domain wall free energies of an underlying spin model, …

… a restricted model of errors similar to that which is assumed for classical error correction it is
… We have laid the foundations for a theory of quantum error-correcting codes by providing a …

… quantum error-correcting codes are related to classical codes… The first quantum error-correcting
codes were discovered by … code and some basics of quantum errorcorrecting codes in …

… Tools developed for error-correcting codes robust against timing errors could also … models,
like speech [5] and pattern recognition [6]. Deletion channels with large alphabets can model …

… For a reasonable model for the error message distributions, we have proved that the first
case has probability very close to and the second case is almost negligible. This will be …

… model for nonuniform channels. Finally, we study unequal error protection using LDPC codes…
These n bits include the redundant bits due to the errorcorrecting code. Moreover, suppose …