A tight lower bound for restricted pir protocols

We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are one bit long must ask questions that are at least n−2 bits long, which is nearly equal to the known n−1 upper bound. This improves upon the approximately 0.25n lower bound of Kerenidis and deWolf while avo...

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Bibliographic Details
Published inComputational complexity Vol. 15; no. 1; pp. 82 - 91
Main Authors Beigel, Richard, Fortnow, Lance, Gasarch, William
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.05.2006
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ISSN1016-3328
1420-8954
DOI10.1007/s00037-006-0208-3

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Summary:We show that any 1-round 2-server Private Information Retrieval Protocol where the answers are one bit long must ask questions that are at least n−2 bits long, which is nearly equal to the known n−1 upper bound. This improves upon the approximately 0.25n lower bound of Kerenidis and deWolf while avoiding their use of quantum techniques.
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ISSN:1016-3328
1420-8954
DOI:10.1007/s00037-006-0208-3