Fuzzy Private Matching (Extended Abstract)

dc.creatorChmielewski, Łukasz
dc.creatorHoepman, Jaap-Henk
dc.date2007-10-29
dc.date.accessioned2026-07-07T08:39:13Z
dc.date.available2026-07-07T08:39:13Z
dc.descriptionIn the private matching problem, a client and a server each hold a set of $n$ input elements. The client wants to privately compute the intersection of these two sets: he learns which elements he has in common with the server (and nothing more), while the server gains no information at all. In certain applications it would be useful to have a private matching protocol that reports a match even if two elements are only similar instead of equal. Such a private matching protocol is called \emph{fuzzy}, and is useful, for instance, when elements may be inaccurate or corrupted by errors. We consider the fuzzy private matching problem, in a semi-honest environment. Elements are similar if they match on $t$ out of $T$ attributes. First we show that the original solution proposed by Freedman et al. is incorrect. Subsequently we present two fuzzy private matching protocols. The first, simple, protocol has bit message complexity $O(n \binom{T}{t} (T \log{|D|}+k))$. The second, improved, protocol has a much better bit message complexity of $O(n T (\log{|D|}+k))$, but here the client incurs a O(n) factor time complexity. Additionally, we present protocols based on the computation of the Hamming distance and on oblivious transfer, that have different, sometimes more efficient, performance characteristics.
dc.identifierhttps://arxiv.org/abs/0710.5425
dc.identifierhttp://arxiv.org/abs/0710.5425
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/140997
dc.subjectCryptography and Security
dc.titleFuzzy Private Matching (Extended Abstract)
dc.typetext

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