Synchronization strings and codes for insertions and deletions—A survey

B Haeupler, A Shahrasbi - IEEE Transactions on Information …, 2021 - ieeexplore.ieee.org
Already in the 1960s, Levenshtein and others studied error-correcting codes that protect
against synchronization errors, such as symbol insertions and deletions. However, despite …

Information-theoretic foundations of DNA data storage

I Shomorony, R Heckel - Foundations and Trends® in …, 2022 - nowpublishers.com
Due to its longevity and enormous information density, DNA is an attractive medium for
archival data storage. Natural DNA more than 700.000 years old has been recovered, and …

Survey for a Decade of Coding for DNA Storage

O Sabary, HM Kiah, PH Siegel… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Advancements in DNA synthesis and sequencing technologies have enabled the storage of
data on synthetic DNA strands. However, realizing its potential relies on the design of …

Bounds and constructions for insertion and deletion codes

S Liu, C Xing - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
Insertion and deletion (insdel for short) codes have recently attracted a lot of attention due to
their applications in many interesting fields such as DNA storage, DNA analysis, race-track …

Reed Solomon codes against adversarial insertions and deletions

R Con, A Shpilka, I Tamo - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
In this work, we study the performance of Reed–Solomon codes against adversarial
insertion-deletion (insdel) errors. We prove that over fields of size there are Reed-Solomon …

Insdel codes from subspace and rank-metric codes

V Aggarwal, R Pratihar - Discrete Mathematics, 2024 - Elsevier
Insertion and deletion (insdel in short) codes are designed to deal with synchronization
errors in communication channels caused by insertions and deletions of message symbols …

Locally decodable/correctable codes for insertions and deletions

AR Block, J Blocki, E Grigorescu, S Kulkarni… - arXiv preprint arXiv …, 2020 - arxiv.org
Recent efforts in coding theory have focused on building codes for insertions and deletions,
called insdel codes, with optimal trade-offs between their redundancy and their error …

Exponential lower bounds for locally decodable and correctable codes for insertions and deletions

J Blocki, K Cheng, E Grigorescu, X Li… - 2021 IEEE 62nd …, 2022 - ieeexplore.ieee.org
Locally Decodable Codes (LDCs) are error-correcting codes for which individual message
symbols can be quickly recovered despite errors in the codeword. LDCs for Hamming errors …

Private and resource-bounded locally decodable codes for insertions and deletions

AR Block, J Blocki - 2021 IEEE International Symposium on …, 2021 - ieeexplore.ieee.org
We construct locally decodable codes (LDCs) to correct insertion-deletion errors in the
setting where the sender and receiver share a secret key or where the channel is resource …

Linear insertion deletion codes in the high-noise and high-rate regimes

K Cheng, Z Jin, X Li, Z Wei, Y Zheng - arXiv preprint arXiv:2303.17370, 2023 - arxiv.org
This work continues the study of linear error correcting codes against adversarial insertion
deletion errors (insdel errors). Previously, the work of Cheng, Guruswami, Haeupler, and …