Titlebook: Locally Decodable Codes and Private Information Retrieval Schemes; Sergey Yekhanin Book 2010 Springer-Verlag Berlin Heidelberg 2010 Locall

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Information Security and Cryptographyhttp://image.papertrans.cn/l/image/587767.jpg

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Limitations of the point removal method,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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Locally decodable codes via the point removal method,rts. The first part is a reduction that shows how the existence of subsets of finite fields that simultaneously exhibit “nice” properties of two different kinds yields families of locally decodable codes with good parameters. The second part is a construction of “nice” subsets of finite fields.

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