A Note on Amplifying the Error-Tolerance of Locally Decodable Codes

@article{BenAroya2010ANO,
  title={A Note on Amplifying the Error-Tolerance of Locally Decodable Codes},
  author={Avraham Ben-Aroya and Klim Efremenko and Amnon Ta-Shma},
  journal={Electronic Colloquium on Computational Complexity (ECCC)},
  year={2010},
  volume={17},
  pages={134}
}
Trevisan [Tre03] suggested a transformation that allows amplifying the error rate a code can handle. We observe that this transformation, that was suggested in the non-local setting, works also in the local setting and thus gives a generic, simple way to amplify the error-tolerance of locally decodable codes. Specifically, this shows how to transform a locally decodable code that can tolerate a constant fraction of errors to a locally decodable code that can recover from a much higher error… CONTINUE READING

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