# Efficient Linear and Affine Codes for Correcting Insertions/Deletions

@inproceedings{Cheng2021EfficientLA, title={Efficient Linear and Affine Codes for Correcting Insertions/Deletions}, author={K. Cheng and V. Guruswami and Bernhard Haeupler and X. Li}, booktitle={SODA}, year={2021} }

This paper studies \emph{linear} and \emph{affine} error-correcting codes for correcting synchronization errors such as insertions and deletions. We call such codes linear/affine insdel codes.
Linear codes that can correct even a single deletion are limited to have information rate at most $1/2$ (achieved by the trivial 2-fold repetition code). Previously, it was (erroneously) reported that more generally no non-trivial linear codes correcting $k$ deletions exist, i.e., that the $(k+1)$-fold… Expand

#### 4 Citations

Locally Decodable/Correctable Codes for Insertions and Deletions

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Synchronization Strings and Codes for Insertions and Deletions - a Survey

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Rate-Distance Tradeoffs for List-Decodable Insertion-Deletion Codes

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Private and Resource-Bounded Locally Decodable Codes for Insertions and Deletions

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