Paper 2026/429

Efficient Private Range Queries on Public Data

Pranav Shriram Arunachalaramanan, University of Illinois Urbana-Champaign
Ananya Appan, University of Illinois Urbana-Champaign
David Heath, University of Illinois Urbana-Champaign
Ling Ren, University of Illinois Urbana-Champaign
Abstract

Range queries can filter, aggregate, and retrieve database entries that lie in a specified multi-dimensional rectangle. Private range queries allow a client to query a server's public database while keeping the client's multi-dimensional rectangle hidden. We construct RangeR, a constant-round private range query scheme that supports any associative aggregation function (e.g., SUM, MAX, TOP-K) and works with any number of servers. In the single-server setting, RangeR is orders of magnitude faster and uses 50%-90% less communication than HADES (VLDB 2025), a prior single-server private range query scheme that only supports linear aggregation functions. We describe how RangeR can be used to implement a privacy-preserving map application that can return the highest-rated restaurants near a user. Using data from $\mathtt{OpenStreetMaps}$, we estimate that a user can find the highest-rated restaurants within one kilometer of their location within $2$ seconds, while revealing only that the user is somewhere in the USA.

Metadata
Available format(s)
PDF
Category
Applications
Publication info
Preprint.
Keywords
Private Range QueriesPrivate Information RetrievalBatch Private Information Retrieval
Contact author(s)
psa3 @ illinois edu
aappan2 @ illinois edu
daheath @ illinois edu
renling @ illinois edu
History
2026-03-05: approved
2026-03-03: received
See all versions
Short URL
https://ia.cr/2026/429
License
Creative Commons Attribution
CC BY

BibTeX

@misc{cryptoeprint:2026/429,
      author = {Pranav Shriram Arunachalaramanan and Ananya Appan and David Heath and Ling Ren},
      title = {Efficient Private Range Queries on Public Data},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/429},
      year = {2026},
      url = {https://eprint.iacr.org/2026/429}
}
Note: In order to protect the privacy of readers, eprint.iacr.org does not use cookies or embedded third party content.