We show two ways of recovering all matching documents, in the Ostrovsky et al. Private Search, while requiring considerably shorter buffers. Both schemes rely on the fact that documents colliding in a buffer position provide the sum of their plaintexts. Efficient decoding algorithms can make use of this property to recover documents never present alone in a buffer position.
@InProceedings{danezis_et_al:DagSemProc.05411.3, author = {Danezis, George and Diaz, Claudia}, title = {{Improving the Decoding Efficiency of Private Search}}, booktitle = {Anonymous Communication and its Applications}, pages = {1--11}, series = {Dagstuhl Seminar Proceedings (DagSemProc)}, ISSN = {1862-4405}, year = {2006}, volume = {5411}, editor = {Shlomi Dolev and Rafail Ostrovsky and Andreas Pfitzmann}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.05411.3}, URN = {urn:nbn:de:0030-drops-4829}, doi = {10.4230/DagSemProc.05411.3}, annote = {Keywords: Private search, private information retrieval, cryptography} }
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