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A $(K, N, T, K_c)$ instance of the MDS-TPIR problem is comprised of $K$ messages and $N$ distributed servers. Each message is separately encoded through a $(K_c, N)$ MDS storage code. A user wishes to retrieve one message, as efficiently as…

Information Theory · Computer Science 2017-01-31 Hua Sun , Syed A. Jafar

Suppose a database containing $M$ records is replicated in each of $N$ servers, and a user wants to privately retrieve one record by accessing the servers such that identity of the retrieved record is secret against any up to $T$ servers. A…

Information Theory · Computer Science 2019-01-18 Jingke Xu , Yaqian Zhang , Zhifang Zhang

The capacity of private information retrieval (PIR) from databases coded using maximum distance separable (MDS) codes has been previously characterized by Banawan and Ulukus, where it was assumed that the messages are encoded and stored…

Information Theory · Computer Science 2019-08-21 Hua Sun , Chao Tian

In a Private Information Retrieval (PIR) protocol, a user can download a file from a database without revealing the identity of the file to each individual server. A PIR protocol is called $t$-private if the identity of the file remains…

Information Theory · Computer Science 2019-03-06 Netanel Raviv , Itzhak Tamo , Eitan Yaakobi

In the conventional robust $T$-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 $T$ colluding servers.…

Information Theory · Computer Science 2021-12-13 Ruida Zhou , Chao Tian , Hua Sun , James Plank

Authenticated private information retrieval (APIR) is the state-of-the-art error-detecting private information retrieval (ED-PIR), using Distributed Point Functions (DPFs) for subpolynomial complexity and privacy. However, its finite field…

Cryptography and Security · Computer Science 2026-04-02 Pengzhen Ke , Liang Feng Zhang , Huaxiong Wang , Li-Ping Wang

We present a private information retrieval (PIR) scheme that allows a user to retrieve a single message from an arbitrary number of databases by colluding with other users while hiding the desired message index. This scheme is of particular…

Information Theory · Computer Science 2020-10-29 William Barnhart , Zhi Tian

We study the problem of semantic private information retrieval (Sem-PIR) with $T$ colluding servers (Sem-TPIR), i.e., servers that collectively share user queries. In Sem-TPIR, the message sizes are different, and message retrieval…

Information Theory · Computer Science 2025-07-22 Mohamed Nomeir , Alptug Aytekin , Sennur Ulukus

Privacy of the outsourced data is one of the major challenge.Insecurity of the network environment and untrustworthiness of the service providers are obstacles of making the database as a service.Collection and storage of personally…

Cryptography and Security · Computer Science 2015-03-02 Divya G. Nair , V. P. Binu , G. Santhosh Kumar

Private computation in a distributed storage system (DSS) is a generalization of the private information retrieval (PIR) problem. In such setting a user wishes to compute a function of $f$ messages stored in $n$ noncolluding coded…

Information Theory · Computer Science 2021-08-06 Sarah A. Obead , Hsuan-Yin Lin , Eirik Rosnes , Jörg Kliewer

In the classical model for (information theoretically secure) Private Information Retrieval (PIR), a user wishes to retrieve one bit of a database that is stored on a set of $n$ servers, in such a way that no individual server gains…

Information Theory · Computer Science 2018-12-05 Simon R. Blackburn , Tuvi Etzion , Maura B. Paterson

We consider the problem of Private Information Retrieval with Private Side Information (PIR-PSI), wherein a user wants to retrieve a file from replication based non-colluding databases by using the prior knowledge of a subset of the files…

Information Theory · Computer Science 2021-05-18 Murali Krishnan K. H. , J. Harshan

We consider the private information retrieval (PIR) problem from decentralized uncoded caching databases. There are two phases in our problem setting, a caching phase, and a retrieval phase. In the caching phase, a data center containing…

Information Theory · Computer Science 2018-11-28 Yi-Peng Wei , Batuhan Arasli , Karim Banawan , Sennur Ulukus

Low degree Reed-Muller codes are known to satisfy local decoding properties which find applications in private information retrieval (PIR) protocols, for instance. However, their practical instantiation encounters a first barrier due to…

Information Theory · Computer Science 2019-04-19 Julien Lavauzelle , Jade Nardi

A $k$-server Private Information Retrieval (PIR) code is a binary linear $[m,s]$-code admitting a generator matrix such that for every integer $i$ with $1\le i\le s$ there exist $k$ disjoint subsets of columns (called recovery sets) that…

Information Theory · Computer Science 2021-07-05 Massimo Giulietti , Arianna Sabatini , Marco Timpanella

In the private information retrieval (PIR) problem, a user wants to retrieve a file from a database without revealing any information about the desired file's identity to the servers that store the database. In this paper, we study the PIR…

Information Theory · Computer Science 2021-05-18 Bar Sadeh , Yujie Gu , Itzhak Tamo

Private information retrieval (PIR) is a mechanism for efficiently downloading messages while keeping the index of the desired message secret from the servers. PIR schemes have been extended to various scenarios with adversarial servers:…

Information Theory · Computer Science 2026-01-23 Atsushi Miki , Toshiyasu Matsushima

Suppose there are $N$ distributed databases each storing a full set of $M$ independent files. A user wants to retrieve $r$ out of the $M$ files without revealing the identity of the $r$ files. When $r=1$ it is the classic problem of private…

Information Theory · Computer Science 2017-04-12 Zhifang Zhang , Jingke Xu

Private information retrieval (PIR) is a cryptographic primitive that allows a client to securely query one or multiple servers without revealing their specific interests. In spite of their strong security guarantees, current PIR…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-14 Mpoki Mwaisela , Peterson Yuhala , Pascal Felber , Valerio Schiavoni

We consider the problem of private information retrieval (PIR) from multiple storage nodes when the underlying database is encoded using regenerating codes, i.e., the database has the ability to recover from individual node failures. We…

Information Theory · Computer Science 2019-02-06 Adway Patra , Navin Kashyap