FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3120764060> ?p ?o ?g. }

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• W3120764060 abstract "In the conventional robust <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T$ </tex-math></inline-formula> -colluding private information retrieval (PIR) system, the user needs to retrieve one of the possible messages while keeping the identity of the requested message private from any <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T$ </tex-math></inline-formula> colluding servers. Motivated by the possible heterogeneous privacy requirements for different messages, we consider the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$(N, T_{1}~:~K_{1}, T_{2}~:~K_{2})$ </tex-math></inline-formula> two-level PIR system with a total of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K_{2}$ </tex-math></inline-formula> messages in the system, where <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T_{1}geq T_{2}$ </tex-math></inline-formula> and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K_{1}leq K_{2}$ </tex-math></inline-formula> . Any one of the <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K_{1}$ </tex-math></inline-formula> messages needs to be retrieved privately against <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T_{1}$ </tex-math></inline-formula> colluding servers, and any one of the full set of <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$K_{2}$ </tex-math></inline-formula> messages needs to be retrieved privately against <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T_{2}$ </tex-math></inline-formula> colluding servers. We obtain a lower bound to the capacity by proposing two novel coding schemes, namely the non-uniform successive cancelation scheme and the non-uniform block cancelation scheme. A capacity upper bound is also derived. The gap between the upper bound and the lower bounds is analyzed, and shown to vanish when <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink> <tex-math notation=LaTeX>$T_{1}=T_{2}$ </tex-math></inline-formula> . Lastly, we show that the upper bound is in general not tight by providing a stronger bound for a special setting." @default.
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• W3120764060 date "2022-06-01" @default.
• W3120764060 modified "2023-10-16" @default.
• W3120764060 title "Two-Level Private Information Retrieval" @default.
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• W3120764060 doi "https://doi.org/10.1109/jsait.2022.3181216" @default.
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