Exponential lower bound for 2-query locally decodable codes via a quantum argument

Exponential lower bound for 2-query locally decodable codes via a quantum argument (2003)

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by Iordanis Kerenidis , Ronald De Wolf

Venue:	Journal of Computer and System Sciences
Citations:	120 - 18 self

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@INPROCEEDINGS{Kerenidis03exponentiallower,
    author = {Iordanis Kerenidis and Ronald De Wolf},
    title = {Exponential lower bound for 2-query locally decodable codes via a quantum argument},
    booktitle = {Journal of Computer and System Sciences},
    year = {2003},
    pages = {106--115}
}

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Abstract

Abstract A locally decodable code encodes n-bit strings x in m-bit codewords C(x) in such a way that one can recover any bit xi from a corrupted codeword by querying only a few bits of that word. We use a quantum argument to prove that LDCs with 2 classical queries require exponential length: m = 2 \Omega (n). Previously this was known only for linear codes (Goldreich et al. 02). The

Citations

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