A survey of error-correcting codes for channels with symbol synchronization errors

H Mercier, VK Bhargava… - … Communications Surveys & …, 2010 - ieeexplore.ieee.org
A survey of error-correcting codes for channels with symbol synchronization errors Page 1 IEEE
COMMUNICATIONS SURVEYS & TUTORIALS, VOL. 12, NO. 1, FIRST QUARTER 2010 87 A …

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 …

Random reed-solomon codes achieve the half-singleton bound for insertions and deletions over linear-sized alphabets

R Con, Z Guo, R Li, Z Zhang - arXiv preprint arXiv:2407.07299, 2024 - arxiv.org
In this paper, we prove that with high probability, random Reed-Solomon codes approach
the half-Singleton bound-the optimal rate versus error tradeoff for linear insdel codes-with …

On 2-dimensional insertion-deletion Reed-Solomon codes with optimal asymptotic error-correcting capability

S Liu, I Tjuawinata - Finite Fields and Their Applications, 2021 - Elsevier
Reed-Solomon codes have gained a lot of interest due to its encoding simplicity, well
structuredness and list-decoding capability [6] in the classical setting. This interest also …

Explicit constructions of two-dimensional reed-solomon codes in high insertion and deletion noise regime

T Do Duc, S Liu, I Tjuawinata… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Insertion and deletion (insdel for short) errors are synchronization errors in communication
systems caused by the loss of positional information in the message. Reed-Solomon codes …

Improved singleton bound on insertion-deletion codes and optimal constructions

B Chen, G Zhang - IEEE Transactions on Information Theory, 2022 - ieeexplore.ieee.org
Insertion–deletion codes (insdel codes for short) play an important role in synchronization
error correction. The higher the minimum insdel distance, the more insdel errors the code …

Strict half-singleton bound, strict direct upper bound for linear insertion-deletion codes and optimal codes

Q Ji, D Zheng, H Chen, X Wang - IEEE Transactions on …, 2023 - ieeexplore.ieee.org
Let be an linear code over the finite field. Let denote its insertion-deletion (insdel for short)
distance, which characterizes the insdel error-correcting capability of. To determine the …

Optimal Two-Dimensional Reed–Solomon Codes Correcting Insertions and Deletions

R Con, A Shpilka, I Tamo - IEEE Transactions on Information …, 2024 - ieeexplore.ieee.org
Constructing Reed–Solomon (RS) codes that can correct insertions and deletions (insdel
errors) has been considered in numerous recent works. Our focus in this paper is on the …

Anonymous Shamir's Secret Sharing via Reed-Solomon Codes Against Permutations, Insertions, and Deletions

R Con - arXiv preprint arXiv:2412.17003, 2024 - arxiv.org
In this work, we study the performance of Reed-Solomon codes against an adversary that
first permutes the symbols of the codeword and then performs insertions and deletions. This …