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Limitations of the point removal method

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Locally Decodable Codes and Private Information Retrieval Schemes

Part of the book series: Information Security and Cryptography ((ISC))

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Abstract

In the previous chapter, we gave a detailed exposition of the point removal method for constructing locally decodable codes and obtained large improvements upon earlier work. We start with a high-level review of our construction of locally decodable codes via point removal that was given earlier in Chapter 2.

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References

  1. Avraham Ben-Aroya, Klim Efremenko, and Amnon Ta-Shma. Local list decoding with a constant number of queries. In 51st IEEE Symposium on Foundations of Computer Science (FOCS), 2010. to appear.

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  2. Zeev Dvir, Parikshit Gopalan, and Sergey Yekhanin. Matching vector codes. In 51st IEEE Symposium on Foundations of Computer Science (FOCS), 2010. to appear.

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  3. Toshiya Itoh and Yasuhiro Suzuki. New constructions for query-efficient locally decodable codes of subexponential length. IEICE Transactions on Information and Systems, pages 263–270, 2010.

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  4. Klim Efremenko. 3-query locally decodable codes of subexponential length. In 41st ACM Symposium on Theory of Computing (STOC), pages 39–44, 2009.

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Correspondence to Sergey Yekhanin .

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© 2010 Springer-Verlag Berlin Heidelberg

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Yekhanin, S. (2010). Limitations of the point removal method. In: Locally Decodable Codes and Private Information Retrieval Schemes. Information Security and Cryptography. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14358-8_3

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  • DOI: https://doi.org/10.1007/978-3-642-14358-8_3

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-14357-1

  • Online ISBN: 978-3-642-14358-8

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