Corpus ID: 3827640

# Synchronization Strings: Efficient and Fast Deterministic Constructions over Small Alphabets

@article{Cheng2017SynchronizationSE,
title={Synchronization Strings: Efficient and Fast Deterministic Constructions over Small Alphabets},
author={Kuan Cheng and X. Li and Ke Wu},
journal={ArXiv},
year={2017},
volume={abs/1803.03530}
}
• Published 2017
• Computer Science, Mathematics
• ArXiv
Synchronization strings are recently introduced by Haeupler and Shahrasbi (STOC 2017) in the study of codes for correcting insertion and deletion errors (insdel codes). They showed that for any parameter $\varepsilon>0$, synchronization strings of arbitrary length exist over an alphabet whose size depends only on $\varepsilon$. Specifically, they obtained an alphabet size of $O(\varepsilon^{-4})$, which left an open question on where the minimal size of such alphabets lies between \$\Omega… Expand
12 Citations

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#### References

SHOWING 1-10 OF 36 REFERENCES
An Improved Bound on the Fraction of Correctable Deletions
• Computer Science, Mathematics
• IEEE Transactions on Information Theory
• 2017
Coding for Interactive Communication Correcting Insertions and Deletions
• Computer Science, Mathematics
• IEEE Transactions on Information Theory
• 2017
Linear-time encodable/decodable codes with near-optimal rate
• Mathematics, Computer Science
• IEEE Transactions on Information Theory
• 2005
Interactive Channel Capacity Revisited
• Bernhard Haeupler
• Computer Science, Mathematics
• 2014 IEEE 55th Annual Symposium on Foundations of Computer Science
• 2014
New Constructive Aspects of the Lovasz Local Lemma
• Mathematics, Computer Science
• 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
• 2010
Deterministic algorithms for the Lovász Local Lemma
• Mathematics, Computer Science
• SODA '10
• 2010